On the Strategic Accumulation of Intangible Assets Anne Marie Knott • David J. Bryce • Hart E. Posen The Wharton School, University of Pennsylvania, 2023 Steinberg Hall-Dietrich Hall, Philadelphia, Pennsylvania 19104-6370 Marriott School of Management, Brigham Young University, 790 TNRB, Provo, Utah 84602 The Wharton School, University of Pennsylvania, 2000 Steinberg Hall-Dietrich Hall, Philadelphia, Pennsylvania 19104-6370 knott@wharton.upenn.edu • dbryce@byu.edu • hposen@wharton.upenn.edu Abstract The resource-based view holds that firms can earn supranormal returns if and only if they have superior resources and those resources are protected by some form of isolating mechanism preventing their diffusion throughout industry. One isolating mechanism that has been proposed for intangible assets is their accumulation process. The hypothesis is that intangible assets are inherently inimitable because would-be imitators need to replicate the entire accumulation path to achieve the same resource position. Thus, entrants can never catch up to incumbents. An interesting challenge to this hypothesis is counterfactual evidence that entrants sometimes outperform incumbents. Such counterfactual evidence should not exist if the theory is strictly correct. This paper attempts to reconcile resource accumulation theory with the counterfactual evidence. We do so by building an intermediate good-production function for a firm’s intangible asset stocks. We test the contribution of the intangible asset stock to the firm’s final good-production function and examine the extent to which that asset stock deters rival mobility in the pharmaceutical industry. We find that the asset accumulation process itself cannot deter rivals, because asset stocks reach steady state rather quickly. Entrants can achieve an incumbent’s intangible asset stock merely by matching its investment until steady state. Thus, we conclude that the accumulation process per se is not an isolating mechanism. While this is perhaps the most important contribution, another contribution is an empirical methodology for characterizing the accumulation function. (Resource-Based View; Intangible Assets; Asset Stocks; R&D Productivity; Mobility Deterrence) 1. Introduction The resource-based view holds that firms can earn supranormal returns if and only if they have superior resources, and those resources are protected by some Organization Science © 2003 INFORMS Vol. 14, No. 2, March–April 2003, pp. 192–207 form of isolating mechanism that prevents their diffusion throughout industry. One issue that arises, given that resources are protected, is: How do firms obtain those resources without dissipating the supranormal returns? One answer (Rumelt 1984, 1987) is that firms are lucky—they stumble upon the resources before their value is known. A second stream imparts a greater role to managers. That stream holds that valuable resource positions are developed over long periods of time (Itami 1987, Winter 1987, Dierickx and Cool 1989, Ghemawat 1991, Teece et al. 1997), and that they are inherently inimitable because would-be imitators need to replicate the entire accumulation path to achieve the same resource position. Dierickx and Cool (1989) provide the most fully articulated model of intangible asset accumulation, from which they conclude that relative resource positions are sustainable. The sustainability arises from asset mass efficiencies and time compression diseconomies. Asset mass efficiencies imply that the more assets a firm has, the lower the marginal cost of producing further additions to the asset stock. Time compression diseconomies imply that asset accumulation can’t be rushed. Even if an entrant invests in one year the total sum of the incumbent investments made over several years, it won’t achieve the same resource position. Resource accumulation theory is appealing because it both identifies a role for managers and appears to explain persistent heterogeneity of firms. Further, it provides intuition for the general tendency of incumbents to prevail (Makadok 1998, Lieberman and Montgomery 1998). However, the theory is controverted by evidence that entrants in some instances have outperformed incumbents (Teece 1987, Klepper 1999), and that R&D at small firms is more productive than that at large firms (see review in Cohen and Levin 1989). Neither of these 1047-7039/03/1402/0192$05.00 1526-5455 electronic ISSN ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets is possible if resource accumulation theory is strictly correct. The fact that there are counterexamples means that refinements are necessary in either its assumptions or its mechanics. This paper attempts to decompose the assumptions and mechanics of resource accumulation theory so that we can make progress refining it: (1) How do resources accumulate, and (2) under what conditions will that accumulation engender persistent heterogeneity? The approach we take combines theory and empiricism. We begin by translating the Dierickx and Cool (1989) model of accumulation into an intermediate good-production function for a firm’s intangible asset stock. We embed that intermediate good-production function into the firm’s final good-production function. We conduct an empirical test in the pharmaceutical industry, examining first the contribution of the intangible asset stock to the firm’s final good-production function, and second, the extent to which those asset stocks deter rival mobility. 2. Intangible Asset Stock Accumulation Model Dierickx and Cool (1989) argue that some strategic factors cannot be traded; they can only be accumulated. They give as examples, reputations and R&D capability: “The strategic asset is the cumulative result of adhering to a consistent set of policies over a period of time” (p. 1506). Dierickx and Cool (1989) develop a descriptive model of asset stocks which they define as “flows in” minus the “flows out,” where inflows are instantaneous investments in an asset stock, and the outflows are the erosion of existing asset stocks. At first glance, this appears to mimic the conventional time-series model for capital stock accumulation: Kt+1 = 1 − Kt + It (1) where Kt = intangible asset stock at time t = annual erosion of the asset stock It = investment in intangible asset stock in period t. However, inherent in resource accumulation theory is a more complex process for intangible asset accumulation than for physical capital accumulation. The intangible asset accumulation process described in the literature resembles an internal intermediate good-production function—firms produce their intangible asset stocks from existing asset stocks and current Organization Science/Vol. 14, No. 2, March–April 2003 period investments. In contrast, physical capital is normally accumulated through purchase. Thus this simple model needs some revision. Dierickx and Cool (1989) define five features of intangible asset accumulation that confer sustainable advantage, and that seem to distinguish intangible asset accumulation from physical capital accumulation: time compression diseconomies (Scherer 1967, Mansfield 1968), asset mass efficiencies (scale economies), interconnectedness of asset stocks (Teece 1987), asset erosion (depreciation), and causal ambiguity (Nelson and Winter 1982, Lippman and Rumelt 1982). Time compression diseconomies are described in Deirickx and Cool (1989) as diminishing returns to current period investments. The phenomenon is referred to as convex adjustment costs, wherein the cost of expansion increases if the rate of expansion is accelerated. Asset mass efficiencies are economies of scale in the production of intangible asset stock from existing asset stock, such that the productivity of investments in the current period increases with larger asset stocks (Dierickx and Cool 1989). Asset erosion is the intangible asset equivalent of physical capital depreciation. There is a distinction between the two constructs, however: Depreciation is an annual reduction in the useful life of physical capital associated with its consumption in use. Intangible assets are not consumed in use, but their value may nevertheless erode, either because the firm is unable to maintain proprietary rights, or because new assets or technological advances render them obsolete. In essence, they are consumed even if not used. To capture these features, we build an intermediate good-production function for intangible asset stocks: Intangible asset stocks at the beginning of a period combine with current period investments to create additional intangible assets. We build the intermediate goodproduction function by modifying Equation (1), which captures asset erosion (depreciation), to incorporate time compression diseconomy and asset mass efficiency. Time compression diseconomy is modeled as a concave function of current period investments, It , 0 < < 1. As a firm increases its investment, the contribution to the asset stock increases, but at a decreasing rate. Asset mass efficiency is modeled as an accelerator of current period investments, (Kt . The larger a firm’s asset stock in the prior period, the greater the productivity of the current period investments in building the asset stock. The accelerator is assumed to exhibit diminishing returns to asset stock size, 0 < < 1. Thus a firm’s asset stock at time t + 1 comprises the eroded asset stock from the prior period (the first term 193 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets on the right-hand side) plus the new investments, conditioned by time compression diseconomy and asset mass efficiency (the second term on the right-hand side). Kt+1 = 1 − Kt + It Kt (2) where ∈ 0 1 = time compression diseconomy ∈ 0 1 = asset mass efficiency This formulation ignores two features of Dierickx and Cool’s (1989) model. This is done in the interest of isolating the accumulation process itself. The first feature we ignore is interconnectedness of asset stocks. This is not because interconnectedness is unimportant. We know from Levinthal (1997), Levinthal and Warglien (1999), Rivkin (2000), and Knott (2001) that interconnectedness is important. It is rather that interconnectedness adds dimensionality. Because heterogeneity can arise from interconnectedness alone (without accumulation), a theory asserting that firms obtain heterogeneity by combining the two is superfluous. Our objective here is to determine whether resource accumulation alone (without interconnectedness) will produce heterogeneity. The second feature we ignore is causal ambiguity. Again, this is not because causal ambiguity is unimportant, but rather because causal ambiguity, like interconnectedness, adds dimensionality. We know from Lippman and Rumelt (1982) that fixed costs plus irreducible ex ante uncertainty regarding the level of efficiency achieved by entrants (causal ambiguity) will produce heterogeneity. Thus, we can be certain that accumulation combined with causal ambiguity can produce heterogeneity. Again, we are trying to determine whether resource accumulation alone (without causal ambiguity) will produce heterogeneity. 3. Empirical Model There are two implicit hypotheses set forth by resource accumulation theory. The first of these (H1) is that rents accrue from asset stocks rather than asset flows (current period investments). Thus, asset stocks should be a significant factor in the firm’s production function. The second hypothesis (H2) is that characteristics of the asset accumulation process inhibit rival mobility (sustain privileged asset positions). We test both hypotheses via a single model. Because we don’t know a priori how knowledge accumulates, we need to estimate each of the terms in the intermediate good-production function (Equation 2). We do so by embedding the intermediate good-production 194 function inside the firm’s final good-production function. Thus, we simultaneously estimate the accumulation coefficients as well as the contribution of the asset stock in use. Following convention in R&D productivity studies (see Griliches 1984), we model the effects of the knowledge stock Kit using a generalized Cobb-Douglas production function for firm i: Yit = Kit Cit Lit St expit (3) where Yit is output of firm i in year t, Kit is the knowledge stock, Cit is physical capital, and Lit is labor. We add spillovers of industry knowledge, St , as a separate factor, since these assets are available on a nonrival basis to all firms within the industry. We ignore materials. This imposes an assumption that materials are used in fixed proportions to output. Because we not only want to test the significance of intangible asset stocks, but also want to characterize the accumulation process, we need to replace Kit in Equation (3) with the function for asset accumulation from Equation (2). Yit = 1 − Kt−1 + It−1 Kt−1 × Cit Lit St expit (4) The challenges then, are (1) determining the number of periods over which to accumulate intangible assets, and (2) expanding the accumulation expression accordingly. We build models for one through ten years of accumulation, then compare solutions to determine best fit. The expansion consists of expressing all values of K only in terms of prior investment, I, (since the main goal of the paper is trying to characterize K in such a fashion). We accumulate according to Equation (2). In the simplest case (which we call T1), we assume that investments accumulate only over a single year; i.e., all prior investments are irrelevant. There is no stock to depreciate and no asset mass to accelerate current investment. Accordingly, we define the asset accumulation after one year of investment to be: K1 = I0 (5) If we expand the accumulation function to a two-year model (T2), the relevant form of Equation (2) is K2 = 1 − K1 + I1 K1 (6) We substitute for K1 everywhere using Equation (5), and obtain K2 in terms of investments in years 0 and 1: K2 = 1 − I0 + I1 I0 (7) Organization Science/Vol. 14, No. 2, March–April 2003 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets Finally, to make the lag structure (and nesting) even more vivid, we show the T3 version of Equation (2) K3 = 1 − K2 + I2 K2 (8) Again, we substitute for K2 everywhere using Equation (7), to show the full expansion for three-year accumulation expressed exclusively in terms of investment (in Years 0, 1, and 2). K3 = 1− 1−I0 +I1 I0 (9) +I2 1−I0 +I1 I0 We continue in this fashion to build 10 models (T1 to T10), corresponding to increasing years over which we accumulate investment. These equations characterize the asset stock, Kt , and the accumulation function in isolation (apart from final goods production). For each expression of Kt , there is a corresponding output equation that embeds the accumulation function within the firm’s final goods-production function. Equation (10) restates Equation (4) as a two-year model, substituting Equation (7) for Kit .1 Thus, output in Year 2 is a function of the current knowledge stock, capital, labor, and spillovers. The knowledge stock in turn comprises the eroded investments from two years ago (Year 0), plus the investments in the prior year (Year 1), modified by the asset stock existing at that time (investments from Year 0). Yi2 = 1 − Ii0 + Ii1 Ii0 × Ci2 Li2 S2 expit (10) Note that expanding in this manner imposes a restriction that intangible assets are fully eroded beyond the allowed years of accumulation. Thus, if we test a sixyear model, assets created seven or more years ago have no residual value because we don’t include R&D spending from seven or more years ago. We test 10 versions of the model (T1 to T10) to see if and when this restriction (allowed years of accumulation = estimated years until complete erosion) is binding. Given both multiplicative and additive elements in Equation (10), we utilize nonlinear regression for estimation of these models. One concern with nonlinear regression is that solutions may represent local maxima rather than global maxima. To minimize that possibility, we ran several different search techniques, and multiple seed values for each coefficient. Further, we took advantage of the fact that we had essentially 10 versions of the same basic model (varying only by years of accumulation), to check stability of the solutions.2 Organization Science/Vol. 14, No. 2, March–April 2003 If rents accrue from asset stocks rather than asset flows (H1), then production functions with intangible asset stocks should be econometrically superior to ones with only intangible asset flows (single-year investments). Further, if Dierickx and Cool’s (1989) formulation of the accumulation process is valid, then the coefficients for erosion, , time compression, , and asset mass efficiency, , should be positive and significant. If the accumulation process inhibits rival mobility (H2), then consistent investment should yield asset stocks whose value increases in perpetuity—preventing firms from catching up. Note, however, that we expect some of these conditions to fail because this study is motivated by counterfactual evidence that entrants can displace incumbents. 4. Prior Tests of Asset Accumulation Two related bodies of empirical literature have implicitly tested the two hypotheses. The R&D productivity literature addresses the first hypothesis—that accumulated intangible asset stocks rather that asset flows are an important factor in the firm’s production function. The industrial organization literature on mobility deterrence addresses the second hypothesis—that asset accumulation deters rival mobility. We briefly review these literatures to anticipate our results. The Empirical Literature on R&D Productivity The R&D productivity literature examines the role of R&D as a source of economic progress at firm, industry, and economy levels. The principal focus of the literature is the performance effect of R&D investment, and the principal vehicle is the firm production function— either examining final goods output as a function of R&D investments or patents, or examining patent output as a function of R&D investments. Studies have consistently found R&D stock to be an important factor in the firm’s production function. The output elasticity of R&D stock typically takes on values between 0.05 and 0.10 (Griliches 1980, Griliches and Mairesse 1984, Adams and Jaffe 1996). Efforts to refine the specification to consider lag effects and asset erosion rates have found that models with no lags and zero asset erosion tend to be superior (Griliches and Lichtenberg 1984). Adams and Jaffe (1996) have directly examined the hypothesis that asset stocks are superior to asset flows in determining firm output. They found that the two approaches have comparable explanatory power, which we would only expect if firms maintain consistent R&D spending patterns and if there are no asset mass efficiencies. While these results tend to refute the resource 195 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets accumulation hypothesis, Adams and Jaffe (1996) built asset stocks assuming an asset erosion rate of 15%. Thus it is possible that the actual productivity of assets stocks is obscured by the computational manner in which they were accumulated. An important contribution of this paper is a technique to dynamically build the intangible asset stock. The Empirical Literature on Mobility Deterrence The mobility deterrence literature examines the ability of capital accumulation to deter rival mobility. Thus, it is the physical asset equivalent of resource accumulation theory. While the literature treats physical capital rather than intangible assets, the hypotheses are quite similar to those proposed by resource accumulation theory. Both theories examine the conditions under which asset accumulation will preserve the shares of firms within an industry. Theoretical studies of mobility deterrence have generally concluded that accumulated physical assets deter rival mobility in the absence of discounting and uncertainty (see Gilbert 1989 for a review). While there haven’t been extensive empirical tests of mobility deterrence, those tests that have been conducted tend to support the analytical conclusions. Lieberman (1987a) conducts an empirical test of mobility deterrence in the chemical industry. He examines whether firms’ investments in capacity appear to reflect strategic response to entry (rather than nonstrategic expansion to accommodate market growth, or strategic expansion to deter entry). Lieberman finds that under high concentration and rapid growth, firms do in fact invest strategically to deter rival mobility. The differences between physical assets and intangible assets play competing roles in determining whether mobility deterrence results will carry over to intangible assets. Asset mass efficiency and time compression diseconomy (the two features unique to intangible stocks) accelerate the asset accumulation of leaders relative to followers. This would tend to make deterrence more likely with intangible assets than physical assets. This acceleration is offset, however, by spillovers arising from the nonexcludability of intangible assets. In fact, Lieberman (1987b) found that in the chemical industry, spillovers of knowledge gained from manufacturing experience were so substantial that essentially no proprietary benefit from experience remained. To the extent that the intangible assets are tacit or causally ambiguous, these spillovers may be minimized. Thus, the net deterrence capability of intangible asset accumulation is an empirical question. 196 5. Method We want to test resource accumulation theory in a restricted setting—looking at a single intangible asset in a single industry. We want to restrict attention to one industry, because the productivity of factor inputs typically varies across industries. Given that factor productivity varies across industries, it is almost certainly true that accumulation coefficients vary across industries. Further, we want to choose an industry that is dominated by a single intangible asset so that we can avoid accumulating multiple assets simultaneously. R&D Assets There are two intangible assets that lend themselves to empirical examination: reputation (through advertising investments) and technical knowledge (through R&D investments). We chose R&D assets as the focus of our study because the SEC requires that R&D investments be reported as a separate line item. Thus, R&D data is readily available. In contrast, advertising expenditures are reported at the discretion of firms. In our sample, only 34% of firms report advertising expenditures. Industry We chose the pharmaceutical industry as our setting for two reasons. First, earlier studies of R&D productivity have indicated that it has one of the highest R&D elasticities (e.g., Adams and Jaffe 1996)—meaning that the productivity of R&D investments is higher in pharmaceuticals than in other industries. Accordingly, pharmaceuticals also have the highest R&D intensity of all industries—higher R&D spending per dollar of sales. For those reasons, R&D decisions in the pharmaceutical industry should receive a good deal of managerial attention, and therefore should be more rational than in other settings. Second, advertising expenditures in the industry are small relative to R&D expenditures. On average, advertising intensity is one-half R&D intensity.3 Further, advertising intensity is only weakly correlated with R&D intensity (correlation coefficient = −031). Accordingly, advertising is unlikely to bias the estimates for R&D accumulation coefficients.4 Industry Trends While R&D intensity varies across pharmaceutical firms and over time, average industry R&D intensity over the observation period grew from 11.7% of sales in 1980 to 19% in 1996. A number of factors in the industry contribute to the growth in R&D intensity. The four main elements are technological change (both in the drugs Organization Science/Vol. 14, No. 2, March–April 2003 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets themselves and the process for their discovery and development), the growth of managed care, the growth of generic drugs, and changes in FDA regulation. We discuss each of these factors briefly. Of these factors, technological change has the most direct effect on R&D. Technological change occurred first in the process for drug discovery. Historically, drug discovery involved trial-and-error processes of finding compounds and testing them against a series of ailments—working forward from compound to disease. Accordingly, the dominant scientific discipline in pharmaceutical research was chemistry. However, over the past few decades advances in molecular biology have allowed firms to utilize a process of “rational drug design.” In rational design, scientists work backward from the disease to the compound. They develop hypotheses about the therapeutic modality most likely to be effective against the disease, and then test compounds with that therapeutic modality. Accordingly, biology is becoming the dominant scientific discipline in pharmaceutical research. The changes in the underlying process of discovery have been complemented by computer technology that expedites the entire process, from identifying genetic underpinnings of ailments to high-speed screening of compounds for their therapeutic effect. Related shifts have occurred in the underlying technology of the drugs themselves. Biotechnology has introduced the use of recombinant DNA, monoclonal antibodies, and genomics. These technological changes, both in the drugs and the discovery process, appear to have increased the productivity of R&D investments, since firms have dramatically increased their rate of R&D investment over the period. Other factors affect R&D indirectly in that they create a competitive stimulus. The first such factor is the increased penetration of generic drugs—nonbranded versions of pharmaceuticals that have come off patent. Generic share of the market has grown from 22% in 1985 to 43% in 1995 to 67% in 2000 (Saftlas 1996, Saftlas and Worrell 2001). The impact of generics is to decrease the effective life of a branded drug. Generics are now able to reach the market within two years of patent expiration, and immediately capture a substantial share of product sales. The second factor indirectly affecting R&D is managed care. Managed care’s share of drug purchasing grew from 25% of the market in 1985 to 52.5% in 1995 to 70.4% in 2000 (Saftlas 1996, Saftlas and Worrell 2001). Managed care affects the market for prescription drugs through formulary restrictions for member physicians, through copay incentives for patients, and Organization Science/Vol. 14, No. 2, March–April 2003 through purchasing clout. The net effect is lower prices on patented drugs and a more immediate shift to generics when drugs come off patent. Pharmaceutical firms have responded to the generics by marketing directly to consumers, and by creating over-the-counter (OTC) versions of drugs coming off patent. They have responded to managed care by acquiring pharmaceutical benefit management (PBM) firms. While generics and managed care have tended to work against pharmaceutical firms, trends in FDA regulation have tended to operate in their favor. The three most notable FDA actions were faster drug approvals, adoption of GATT, and relaxation of rules governing directto-consumer (DTC) advertising. Faster drug approvals have implicitly increased the effective patent life of new compounds; The General Agreement on Tariffs and Trade (GATT) has explicitly extended the patent life from 17 years to 20 years for most drugs, and DTC advertising has increased sales over the patent life. Since all these industry factors are interacting and evolving slowly over time, we make no effort to isolate each effect. Rather, we control for their joint effects through year dummies. Data To conduct the empirical analysis, we gather data from two primary sources. Industry data on R&D investments (for spillovers) is obtained from the Research and Development in Industry report published by the National Science Foundation. This data is reported by three-digit SIC and broken down into both federal spending on R&D and company (and other) spending on R&D.5 In order to generate spillover data we make the assumption that spillovers are a function of industry R&D. Thus, we gather company (and other) R&D data for SIC 283, “Drugs and Medicines,” in each year from 1979 though 1998.6 Data on sales, capital, and labor (for constructing firm production functions) are taken from the COMPUSTAT industrial annual file which contains annual operating data on the largest companies listed on the New York, American, and NASDAQ Stock exchanges, along with companies listed on other major and regional exchanges. This database is divided into both “active” and “inactive” files, with the active file containing all firms with active operations in the most recent year for which data was available (1999). In addition, a single SIC code identifies the primary business of each firm. We begin by selecting the sample from the active file of all firms with SIC 2834 “Pharmaceutical Preparations” designated as their primary business.7 Having selected the 20-year period 197 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets between 1979–1998, we eliminate all firm-year observations prior to 1979 and those in 1999. This selection process results in a list of 190 pharmaceutical, generic, and biotechnology firms. Firms on this preliminary list include both research and startup firms as well as fully integrated pharmaceutical manufacturers. An examination of the sample raises one major concern. A number of firms in the sample had spent heavily on R&D for several years but had produced only insignificant revenue. These firms are clearly in startup or research mode with no viable commercial products, implying a basic difference in technology compared to larger, more integrated firms. To improve the technological homogeneity of the sample, and to include only firms with meaningful sales experience (crucial to our production function methodology), we eliminate the smallest firms in the sample collectively constituting 1% of total industry sales in 1998. This eliminates 141 of the 190 firms. Of the remaining 49 firms, an additional 9 firms are eliminated due to incomplete data. This results in a final data set that includes 40 firms (23 pharma; 3 biotech; 14 generic) and 488 usable firmyear observations. For each firm in each year, we extract the variables in Equation (9). Output (Y ) is measured as total firm sales in the observation year; investment (I) is measured as current year spending on R&D; capital (C) is measured as the book value of net property, plant and equipment; labor (L) is measured as full-time equivalent employees; spillovers (S) is measured as current year industry spending on R&D. These data are summarized in Table 1. We construct 10 separate models, beginning with a one-year model and progressively adding years of accumulation until the final model in which we accumulate knowledge over 10 years (T10). In order to estimate the models, we use the nonlinear regression function found in SAS v8 (PROC NLIN) and the standard GaussNewton methodology with both the time compression diseconomy and asset mass efficiency coefficients bounded between zero and one (as per our theoretical Table 1 development). Finally, our objective is to evaluate each model and select the knowledge accumulation model that offers the best fit. As our basic measure of fit, we calculate R-squared for each model.8 Robustness Checks Because we use nonlinear regression and have concerns that models might settle on local rather than global solutions, we conduct numerous robustness checks. The first such check is sensitivity to changes in the sample. We test four definitions of industry. The first three definitions, which gradually exclude firms based on size (sales), are selected from the Compustat “Active” database: (1) Active firms accounting for 100% of 1998 industry sales; (2) Active firms accounting for 99% of 1998 industry sales (which we use as our primary sample); (3) Active firms accounting for 95% of industry sales in 1998; and finally, (4) an industry definition that consists of all firms in both the Compustat “Active” and “Inactive” files.9 We ran robustness checks across these industry definitions and found that results are insensitive to the sample. This is largely because the results in all samples are dominated by large fully integrated pharmaceutical firms (FIPCOs). In addition to the tests of industry sample, we also test sensitivity to search algorithms, seed values for coefficients, alternative functional forms for spillovers as well as fixed effects. The main results we are about to discuss are reliable across these tests.10 6. Results The results for empirical test of the resource accumulation model over the 10 accumulation years are given in Table 2. The first model in Table 2 presents the flow model (T1)—the impact of single year investments in R&D on output. The remaining models accumulate R&D investments according to Equation (4) for 2 (T2) to 10 (T10) years. A number of things in Table 2 are worth noting. First, coefficients for factor inputs other than knowledge are significant across all models. While we will discuss Baseline Data Summary: Active Firms Comprising 99% of Industry Output Sales ($Million) R&D in year t ($Million) Employees (1000 FTE) Spillover ($Million) Capital ($Million) Mean Std. Dev. Sales R&D Employ Spill Capital 31474 3273 191 60980 11248 47803 5569 233 33820 17392 100 092 087 029 094 100 074 035 096 100 002 080 100 032 100 Notes. Correlation between R&D in year t and year t − 1 = 093. 198 Organization Science/Vol. 14, No. 2, March–April 2003 Organization Science/Vol. 14, No. 2, March–April 2003 08823∗∗∗ 00368 00950∗∗ 00302 00000 — 03091∗∗∗ 00464 03705∗∗∗ 00245 06627∗∗∗ 00252 08753∗∗∗ 00448 00939∗∗ 00302 00000 — 03079∗∗∗ 00464 03729∗∗∗ 00242 06630∗∗∗ 00252 08819∗∗∗ 00356 00952∗∗ 00301 00000 — 03094∗∗∗ 00464 03699∗∗∗ 00246 06626∗∗∗ 00252 T4 08815∗∗∗ 00355 00953∗∗ 00301 00000 — 03095∗∗∗ 00464 03697∗∗∗ 00246 06626∗∗∗ 00252 T5 08813∗∗∗ 00354 00953∗∗ 00301 00000 — 03095∗∗∗ 00464 03697∗∗∗ 00246 06626∗∗∗ 00252 T6 08813∗∗∗ 00354 00954∗∗ 00301 00000 — 03095∗∗∗ 00464 03697∗∗∗ 00246 06626∗∗∗ 00252 T7 08813∗∗∗ 00354 00954∗∗ 00301 00000 — 03095∗∗∗ 00464 03697∗∗∗ 00246 06626∗∗∗ 00252 T8 08813∗∗∗ 00354 00954∗∗ 00301 00000 — 03095∗∗∗ 00464 03697∗∗∗ 00246 06626∗∗∗ 00252 T9 08813∗∗∗ 00354 00954∗∗ 00301 00000 — 03095∗∗∗ 00464 03697∗∗∗ 00246 06626∗∗∗ 00252 T10 50648 49676 49629 49618 49616 49615 49615 49615 49615 49615 1126000 1126000 1126000 1126000 1126000 1126000 1126000 1126000 1126000 1126000 09550 09559 09559 09559 09559 09559 09559 09559 09559 09559 38405600∗∗∗ 26154600∗∗∗ 26180400∗∗∗ 26186400∗∗∗ 26187700∗∗∗ 26188100∗∗∗ 26188200∗∗∗ 26188200∗∗∗ 26188200∗∗∗ 26188200∗∗∗ 00756∗ 00294 — — 03110∗∗∗ 00464 03958∗∗∗ 00229 06637∗∗∗ 00255 T3 T2 Note. Values under coefficients are standard errors. ∗ p < 005. ∗∗ p < 001. ∗∗∗ p < 0001. Yi2 = 1 − Ii0 + Ii1 Ii0 Ci2 Li2 S2 expit . SSE (×10E8) CSS (×10E8) RSQ F -Stat Labor () Spillovers () Capital () Asset Mass Efficiency () Time Compression () — T1 Regression Results Comparing All 10 Accumulation Models Erosion () Table 2 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets 199 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets these other inputs after we discuss accumulation, the main thing to note is that these coefficients take on typical values and are stable across the models. The sum of the coefficients on capital and labor is 0.97, implying diminishing returns to scale in the absence of R&D. The conclusion we reach at this point is that embedding asset stock accumulation inside a production function seems to be a reasonable methodology. Thus, we have some confidence going forward with this approach. We turn next to hypothesis testing. We begin by comparing the flow model (T1) with the accumulation models (T2–T10), and find first that the accumulation models converge on a single solution (identical coefficients and explained variance), and second that the convergent solution has only marginally better fit than the flow model (R2 = 0956 for the stock model versus 0.955 for the flow model). This result supports the first hypothesis (H1), that intangible asset stocks are an important factor in the firm production function, but also suggests that flow models are probably adequate. All these results are consistent with prior work: The coefficients on R&D flows fall within normal ranges (Griliches 1980, Griliches and Mairesse 1984, Adams and Jaffe 1996); both stocks and flows are significant in the firm production function (Adams and Jaffe 1996); and the two approaches (stocks and flows) have comparable explanatory power (Adams and Jaffe 1996). While the test of Hypothesis 1 is important, it has been supported elsewhere; thus, we are relatively more interested in the intermediate good-production function and its implications for deterring rivals (H2). The first thing to note is that the coefficient on asset mass is zero across all 10 models. This is true not only in Table 2, but also in all models with fixed effects (Tables 3 and 4). This is fairly compelling evidence that there are no asset mass efficiencies. The second thing to note is that the coefficients for asset erosion and time compression diseconomy are consistent across the models. Both coefficients are significant and take on values within the expected range. The coefficient on asset erosion is 0.88. This is a very high level of asset erosion, corresponding to complete (99%) write-off of new investments within three years. This suggests that firms must make substantial investments each year merely to preserve the value of the existing asset stock. Methodologically, this is an indication that the restriction on allowed years of accumulation is nonbinding beyond the T3 model. The coefficient on investments (time compression) is 0.095. This is above the coefficient in the flow model, but within the normal ranges for R&D elasticity (Griliches 1980, Griliches and Mairesse 1984, Adams and Jaffe 1996). 200 Thus, our conclusion regarding resource accumulation theory is that the Dierickx and Cool (1989) formulation is partially correct. There is evidence of asset erosion and time compression diseconomy, but there appear to be no asset mass efficiencies. It is difficult to interpret what accumulation looks like by examining the coefficients themselves, but we need to understand accumulation to draw conclusions regarding the ability of asset accumulation to deter rivals. To aid our intuition, we generated a set of fictitious asset stocks, wherein a firm makes a constant annual investment of $1,000 MM.11 We then applied the coefficients in each relevant year of the model to that investment pattern. For example, we made a $1,000 MM investment in the first year, then depreciated it and added a new $1,000 MM investment (to which we applied time compression and asset mass efficiency) in the second year. We continued in this fashion for 20 years, then repeated the process for all nine models to produce the implicit accumulation paths shown in Figure 1. The most important implication of the figure is that asset stocks reach steady state within three years. Up until Year 3, the $1,000 MM annual investment helps to increase the knowledge stock. Thereafter, the same investment is required merely to maintain the existing asset stock. Moreover, we achieve 94% of steady state in just the first year. Thus, we conclude that the intangible asset accumulation process itself does not confer sustainable advantage, refuting the second hypothesis. Rivals can achieve a leader’s level of intangible asset stock within three years by merely matching the leader’s investment in each of those three years. This is not to say that matching the level of the leader’s intangible asset stock makes a rival the leader. It merely says that if the accumulation process itself were the source of the leader’s advantage, as resource accumulation theory implies, then a rival could indeed achieve leadership within three years. Thus, resource accumulation in and of itself is not a source of sustainable advantage (at least in this industry). To show this more vividly, we compute the asset stocks for each firm in our database over its respective observation years. We do this in the same fashion as was used to generate Figure 1. Here, however, we use actual R&D expenditures of firms over time, whereas in Figure 1 we assumed a constant annual investment for a fictitious firm of $1,000 MM. The results are given in Figure 2. The figure shows a number of interesting phenomena. First, while firms reach steady state quickly, they appear to grow their stocks at a common rate. This likely corresponds to the industry growth rate. Second, late entrants appear to catch up to their peer group within Organization Science/Vol. 14, No. 2, March–April 2003 Organization Science/Vol. 14, No. 2, March–April 2003 01488∗∗∗ 00253 — — 02992∗∗∗ 00548 03456∗∗∗ 00373 06452∗∗∗ 00503 Sig∗∗∗ SSE (×10E8) 17384 CSS (×10E8) 1126000 RSQ 09846 ∗ Yi2 = 1 − Ii0 + Ii1 Ii0 e i firm Firm Fixed Effects Labor () Spillovers () Capital () Asset Mass Efficiency () Time Compression () — T1 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T3 17310 17311 1126000 1126000 09846 09846 dummies Ci2 Li2 S2 expit . 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T2 Regression Results with Firm Fixed Effects Erosion () Table 3 17311 1126000 09846 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T4 17311 1126000 09846 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T5 17311 1126000 09846 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T6 17311 1126000 09846 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T7 17311 1126000 09846 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T8 17311 1126000 09846 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T9 17311 1126000 09846 10000 — 01489∗∗∗ 00252 00012 00009 02930∗∗∗ 00549 03454∗∗∗ 00372 06583∗∗∗ 00512 Sig∗∗∗ T10 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets 201 202 48701 1126000 09567 00664∗ 00320 — — 03133∗∗∗ 00482 04030∗∗∗ 00266 06596∗∗∗ 00273 ∗∗∗ 47814 1126000 09575 t 08772 00463 00858∗∗ 00331 00000 — 03113∗∗∗ 00483 03771∗∗∗ 00282 06611∗∗∗ 00270 T2 Yi2 = 1 − Ii0 + Ii1 Ii0 Ci2 Li2 S2 expit + SSE (×10E8) CSS (×10E8) RSQ Labor () Spillovers () Capital () Asset Mass Efficiency () Time Compression () — T1 Regression with Year Effects Erosion () Table 4 ∗∗∗ ∗∗∗ 08815 00369 00878∗∗ 00331 00000 — 03131∗∗∗ 00484 03730∗∗∗ 00287 06610∗∗∗ 00270 T4 47747 1126000 09576 t ∗ yeardummies. 47760 1126000 09576 08825 00381 00873∗∗ 00331 00000 — 03128∗∗∗ 00484 03738∗∗∗ 00286 06610∗∗∗ 00270 T3 ∗∗∗ 47744 1126000 09576 08810 00367 00879∗∗ 00331 00000 — 03132∗∗∗ 00484 03728∗∗∗ 00287 06610∗∗∗ 00270 T5 ∗∗∗ 47743 1126000 09576 08808 00367 00879∗∗ 00331 00000 — 03132∗∗∗ 00484 03727∗∗∗ 00287 06610∗∗∗ 00270 T6 ∗∗∗ 47743 1126000 09576 08807 00367 00879∗∗ 00331 00000 — 03132∗∗∗ 00484 03727∗∗∗ 00287 06610∗∗∗ 00270 T7 ∗∗∗ 47743 1126000 09576 08807 00367 00879∗∗ 00331 00000 — 03132∗∗∗ 00484 03727∗∗∗ 00287 06610∗∗∗ 00270 T8 ∗∗∗ 47743 1126000 09576 08807 00367 00879∗∗ 00331 00000 — 03132∗∗∗ 00484 03727∗∗∗ 00287 06610∗∗∗ 00270 T9 47743 1126000 09576 08807∗∗∗ 00367 00879∗∗ 00331 00000 — 03132∗∗∗ 00484 03727∗∗∗ 00287 06610∗∗∗ 00270 T10 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets Organization Science/Vol. 14, No. 2, March–April 2003 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets Figure 1 Implied Asset Stock for Constant Annual Investment of $1,000 MM Contribution of asset stock 2.50 T2 2.00 T3 1.50 T5 T4 T6 T7 1.00 T8 T9 0.50 T10 0.00 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Years two years. This indicates they are matching their peer leader’s investments. This adds external validity to our results—firms behave as though our model predictions about the viability of catching the leader are correct. Third, there appear to be strategic groups. The FIPCOS have large asset stocks with steady-state contributions of $2.25 MM. In contrast, the generics tend to have asset stocks with contributions of only $1.5 MM. Robustness Checks. Robustness checks for tests of industry size, the sampling technique, and the nonlinear search algorithm provide confidence in our approach, but are not particularly interesting. They are available from the authors upon request. The tests that do provide some insight are models that introduce firm effects and year effects. In building a firm-effects model, we wanted to preserve the integrity of the accumulation function. We believed that the true source of firm heterogeneity lies somewhere within the R&D function, possibly in different accumulation capability. Accordingly, the firm fixed effects were embedded in the intermediate goodproduction function rather than appended to the final goods-production function ∗ Yi2 = 1 − Ii0 + Ii1 Ii0 ei firm dummies ×Ci2 Li2 S2 expit (11) Results for the model with firm effects are given in Table 3. The T1–T10 model all yield identical results: Erosion is 1.0, asset mass efficiency is 0.0, and time compression diseconomy is 0.149. This model has higher R2 than does the baseline without firm effects (as is the norm for fixed effects models). Taken together, the results indicate that the appropriate means to characterize the contribution of R&D is through a Organization Science/Vol. 14, No. 2, March–April 2003 firm-specific flow model. When we adequately control for differences across firms, there is no benefit to accumulation. Year effects are intended to capture single-year changes in industrywide conditions such as demand or supply shocks. Accordingly, they are not part of the accumulation function and can be appended to the final goods-production function. Yi2 = 1−Ii0 +Ii1 Ii0 ×Ci2 Li2 S2 expit + t ∗ yeardummies (12) t Results for tests of year effects are given in Table 4. The basic results are also preserved as we introduce these effects: Asset mass is always 0, and all models at T3 and above converge on a single solution with significant asset erosion and time compression diseconomy. While the coefficient on asset erosion is the same here as in the baseline, the other coefficients differ slightly (but only in the third decimal place). Because there was much going on over the observation period, it is also interesting to look at the coefficients on the year dummies themselves (Figure 3). The major pattern is one of declining productivity from the beginning of the observation period until 1994, then increasing productivity thereafter. It appears that the penetration of generics and managed care were taking a toll on the pharmaceutical firms, and their responses of increased R&D investment and advertising did not take hold until 1995. Observations Regarding Other Factor Inputs. We mentioned earlier that the other factor inputs (capital and labor) are significant across all models in Table 2, and the combination of their coefficients indicates that there 203 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets Figure 2 Computed Asset Stocks for Firms in Database Knowledge Stock Accumulation T3 ABBOTT LABORATORIES ALLERGAN INC ALPHARMA INC -CL A ALZA CORP 3.00 AMERICAN HOME PRODUCTS CORP ASTRAZENECA PLC -SPON ADR BARR LABORATORIES INC 2.75 BAUSCH & LOMB INC BRISTOL MYERS SQUIBB 2.50 CHIRON CORP ELAN CORP PLC -ADR FOREST LABORATORIES -CL A 2.25 GENENTECH INC Knowledge Stock Contibution GLAXO WELLCOME PLC -SP ADR ICN PHARMACEUTICALS INC 2.00 ICOS CORPORATION IVAX CORP JOHNSON & JOHNSON 1.75 K V PHARMACEUTICAL -CL A KING PHARMACEUTICALS INC 1.50 LILLY (ELI) & CO MANNATECH INC MERCK & CO 1.25 MYLAN LABORATORIES NATURES SUNSHINE PRODS INC NOVARTIS AG -SPON ADR 1.00 NOVO-NORDISK A/S -ADR PERRIGO COMPANY 0.75 PFIZER INC ROCHE HOLDINGS LTD -SP ADR SCHEIN PHARMACEUTICAL INC 0.50 SCHERING-PLOUGH SHIRE PHARMACETCLS GRP -ADR SICOR INC 0.25 SMITHKLINE BEECHAM PLC -ADR TEVA PHARM INDS -ADR TWINLAB CORP 0.00 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 USANA INC WATSON PHARMACEUTICALS INC Year Figure 3 WEIDER NUTRITION INTL -CL A are diminishing returns to scale in the absence of R&D. More interesting perhaps are spillovers. Spillovers are the public good arising from other firms’ investments in R&D. Not only is the coefficient on spillovers a large number, 0.37, but its economic impact is tremendous. The base on which the coefficient is applied (industry R&D spending) is an order of magnitude larger than that for the average firm (as shown in Table 1). Trend in Coefficients on Year 500 300 200 100 -200 -300 -400 -500 -600 204 y9 8 y9 6 y9 4 y9 2 y9 0 y8 8 y8 6 y8 4 -100 y8 2 0 y8 0 Coefficient on year (T3) 400 7. Discussion In summary, our goal was to reconcile resource accumulation theory with the counterfactual evidence that entrants can outperform incumbents. Toward that end, we investigated three questions: First, is the Dierickx and Cool (1989) formulation of asset accumulation correct? Second, are asset stocks an important factor in the firm’s Organization Science/Vol. 14, No. 2, March–April 2003 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets production function (H1)? Third, does the accumulation process deter rival mobility (H2)? We found resource accumulation theory to be only partially correct. With respect to the Dierickx and Cool (1989) formulation, we found only two of the three factors we tested to be significant.12 Asset erosion and time compression diseconomies take on values expected by Dierickx and Cool (1989). However, there appears to be no evidence of asset mass efficiencies. With respect to Hypothesis 1, we found that R&D assets do accumulate, and the resulting asset stocks are an important factor in the firm’s production function. However, we also found that their explanatory power is comparable to R&D flows. This occurs because asset stocks reach steady state very quickly. Thus, there is 1:1 correspondence between asset stocks and the flows required to maintain those asset stocks in steady state. Finally, with respect to Hypothesis 2, we found that the accumulation process is not inimitable, and therefore does not deter mobility. For asset stocks to deter rival mobility, we expect them to grow in perpetuity with constant investment. This is not the case, at least in this industry. Firms’ asset stocks reach steady state within three years. While consistent investments up until steady state add to a firm’s asset stock, after steady state the same consistent investment is required merely to maintain the asset stock. Accordingly, rivals can achieve the asset stocks of leaders by merely matching their investments for three years. In reconciling resource accumulation theory with the counterfactual evidence that entrants sometimes outperform incumbents, we find that intangible assets do accumulate, and that the accumulated asset stocks make significant contributions to firm performance. However we also find that these asset stocks are unable to deter rivals because they reach steady state rather than growing in perpetuity. Thus, entrants can catch up to, and potentially exceed, incumbents’ asset stocks. The research holds implications for the literatures that guided our empiricism. First, for the mobility deterrence literature, our results for intangible asset accumulation differ from the prior results for capital accumulation. The prior work found that, absent uncertainty and discounting, accumulated physical assets were able to deter rival mobility. The findings here indicate those results are unlikely to hold for intangible assets. Second, for the R&D productivity literature, we introduce methodology to statistically estimate the accumulation and erosion coefficients for R&D assets. Prior studies have made assumptions about the erosion rate and have manually constructed assets stocks. Using asset erosion rates near 15%, those studies have tended to find Organization Science/Vol. 14, No. 2, March–April 2003 that the asset stocks contributed to the firm production function. These results may go away when the higher asset erosion rates are introduced. There are limitations to this study. First, we examine only one industry—pharmaceuticals, and only one intangible asset—knowledge stock (accumulated R&D). We assumed that because R&D was critical to the pharmaceutical industry, the most pronounced effects of R&D stocks would occur there. It may be true, however, that R&D asset stocks are more important in industries where the need for R&D is less apparent (of course, the story then is no longer one of accumulation advantage, but of perceptual advantage—knowing to invest in R&D when its benefits are less obvious). Nevertheless, we recommend duplicating this study in other industries. Second, we aggregate all knowledge in the pharmaceutical industry. Our level of aggregation was chosen both because investment and performance data are unavailable by therapeutic class, and because even if they were available, it would pose problems with degrees of freedom. There are caveats in this level of aggregation. It is likely that knowledge within a particular therapeutic class does not retain 100% of its value when applied to another therapeutic class. However, any level of aggregation is problematic—knowledge from one drug within a therapeutic class does not retain 100% of its value when applied to another drug, and knowledge from one plant site does not retain 100% of its value when transferred to another site (Adams and Jaffe 1996). Nevertheless, we recommend replicating this study at other levels of analysis. Third, the results for other intangible assets may differ from those of R&D assets. Of particular interest are reputation assets arising from advertising expenditures. We recommend repeating this test in consumer goods industries using accumulated advertising expenditures in lieu of accumulated R&D expenditures. Just as there is economics literature examining the cumulative effects of R&D expenditures on patent production and firm output, there is marketing literature examining the cumulative impact of advertising levels, frequency, and aging on product sales (see for example, Leone 1995, Broadbent 1997). Both literatures tend to find diminishing returns to current investment (time compression diseconomy) as well as erosion effects (referred to as “depreciation” for R&D and “decay” for advertising). The attention to diminishing returns and erosion suggests that asset mass efficiencies are likely to be trivial in both settings. The one distinction between R&D and advertising that might affect results is that there isn’t an advertising equivalent 205 ANNE MARIE KNOTT, DAVID J. BRYCE, AND HART E. POSEN Strategic Accumulation of Assets to spillovers. Accordingly, differential asset accumulation across firms may be more feasible for reputation (advertising) than for knowledge (R&D). Finally, there is an issue of matching years in which investment occurs to years in which output is examined. Following convention in R&D productivity studies, we compare output and asset stocks from the same year (see Griliches 1984). An alternative approach is to lag R&D. This seems particularly attractive in an industry characterized by long lags between research and commercial success. However, our accumulation method has an inherent lag structure—we count investment from several years back and the model solves for the appropriate contribution from each “lagged” year. Our steadystate results suggest that further lags are unnecessary. The fact that stocks reach steady state implies that lags are irrelevant—the asset stock in the output year is the same size as the asset stock four years earlier (apart from industry growth). This would explain Griliches and Mairesse’s (1984) failure to find lag effects of R&D capital on firm output. Given our results, it appears that the real merit of knowledge stock accumulation may arise in its role as a complement to manufacturing scale. This is the interconnectedness component of Dierickx and Cool (1989)— that complementary assets lead to increasing returns. Complementarities between R&D and manufacturing exist because large-scale manufacturing provides greater incentive to invest in R&D due to the large base over which to exploit its outputs and amortize its costs (Nelson 1989). Similarly more R&D leads to new avenues for expanding manufacturing output even further. This interaction is explicitly modeled in Nelson and Winter (1982) as well as Klepper (1999). The interpretation of both of those papers is that being early in a market is important when there are increasing returns from the knowledge accumulation and manufacturing scale complementarities. This paper examined whether there are increasing returns from knowledge accumulation alone. The answer appears to be no. Acknowledgments The authors are grateful for the financial support of the Huntsman Center for Global Competition and Innovation and for the helpful comments of Phil Anderson, Dan Levinthal, Marvin Lieberman, Hans Pennings, Huggy Rao, two anonymous reviewers, and participants in the Reginald Jones Center Brown Bag at Wharton. Endnotes 1 Equations (3) and (9) both show an exponent, , on the knowledge stock. This is to preserve the Cobb-Douglas form. In our empirical model, we can’t econometrically distinguish between the coefficients 206 generating K and the contribution of K to output (there would be infinite pairs of accumulation vectors and values for output elasticity, ). Accordingly, our values for the accumulation vector will actually represent the true accumulation vector inclusive of output elasticity. 2 We felt there was no need to go beyond 10 years because the effective patent life in the pharmaceutical industry is approximately 10 years (Saftlas 1996). This 10-year effective life is derived from a 20year patent life (the new pharmaceutical patent life under GATT), minus the average development period of 10 years. Our results will indicate whether this assumption is valid. 3 For the subsample of firms reporting advertising expenditures. 4 While we lack advertising expenditures for all firms, we attempt to control for their effects through firm dummies. 5 We would have preferred to gather industry R&D data at the fourdigit level. However, four-digit data was not available in this NSF report. While our spillover measure is coarse, the fact (demonstrated later in this paper) that the coefficient on spillovers is highly significant in our analysis indicates that data at the three-digit level is satisfactory. 6 At the time of our work, preliminary 1999 figures were available. However, the NSF shifted from the use of SIC codes to NIACS codes in 1999 and had only made the data backwards compatible to 1997. As such, we have chosen to only collect data for the 20-year period ending in 1998. In addition, company (and other) data was not available for 1979 and as such, total federal, company, and other data were used in this year only. 7 The use of the active file allowed us to created a consistent panel in which the same firm-year observations were used across all accumulation models. 8 Note that in the case of the nonlinear model, r-squared [which is calculated as: 1-variance (full model)/variance (mean model)] is not bounded by zero and one since the general nonlinear model does not nest the mean model. See Kvalseth (1985). 9 Note that the sample of active and inactive firms does not allow for the use of a consistent panel as the estimation of each model uses a different set of firm-year observations. 10 Results from the robustness checks (aside from tests of fixed effects, which we include in the next section) are not particularly interesting in that they largely confirm the main results. 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