Chapter 6 Labor Market Equilibrium Introduction • Labor market equilibrium coordinates the desires of firms and workers, determining the wage and employment observed in the labor market. • Market types: – Competitive: many buyers of labor – Monopsony: one buyer of labor – Monopoly: one seller of output • These market structures generate unique labor market equilibria. 2 Equilibrium in a Single Competitive Labor Market • Competitive equilibrium occurs when supply equals demand, generating a competitive wage and employment level. • It is unlikely that the labor market is ever in a stable equilibrium, since supply and demand are dynamic. • The model suggests that the market is always moving toward new equilibrium. 3 Labor Market Equilibrium Dollars Supply whigh w* wlow Demand ED E* ES In a competitive labor market, equilibrium is attained at the point where supply equals demand. The marketclearing wage is w* at which E* workers are employed. Employment 4 Benefit that Accrue to the National Economy • Gains accruing to the firm: producer surplus • Gains accruing to workers: worker surplus • Sum of producer surplus and worker surplus: gains from trade • (Assume labor is the only input factor in the production function) 5 Efficiency • The competitive market maximizes the total gains from trade accruing to the economy. • The allocation of persons to firms that maximizes the total gains from trade in the labor market is called an efficient allocation. • A competitive equilibrium generates an efficient allocation of labor resources. 6 Equilibrium in a Competitive Labor Market Dollars S P w* Q D EL E* EH Employment The labor market is in equilibrium when supply equals demand; E* workers are employed at a wage of w*. In equilibrium, all persons who are looking for work at the going wage can find a job. The triangle P gives the producer surplus; the triangle Q gives the worker surplus. A competitive market maximizes the gains from trade, or the sum P + Q. 7 Competitive Equilibrium Across Labor Markets • If workers were mobile and entry and exit of workers to the labor market was free, then there would be a single wage paid to all workers. • The allocation of workers to firms equating the wage to the value of marginal product is also the allocation that maximizes national income (this is known as allocative efficiency). • The “invisible hand” process: self-interested workers and firms accomplish a social goal that no one had in mind, i.e., allocative efficiency. 8 Competitive Equilibrium in Two Labor Markets Linked by Migration Dollars Dollars SN S’S S’N SS A wN B w* w* wS C DN Employment (a) The Northern Labor Market DS Employment (b) The Southern Labor Market Suppose the wage in the northern region (wN) exceeds the wage in the southern region (wS). Southern workers want to move North, shifting the southern supply curve to the left and the northern supply curve to the right. In the end, wages are equated across regions at w*. Migration increases the total gains from trade in the national economy by the triangle ABC. 9 Efficiency Revisited • The “single wage” property of a competitive equilibrium has important implications for economic efficiency. – Recall that in a competitive equilibrium w = VMPE. As firms and workers move to the region that provides the best opportunities, they eliminate regional wage differentials. Therefore, workers of given skills have the same VMPE in all markets. • The allocation of workers to firms that equates the value of marginal product across markets is also the sorting that leads to an efficient allocation of labor resources. 10 Wage Convergence Across Regions 5.7 LA Percent Annual Wage Growth GA 5.5 MS AR 5.3 NH ME VT VA MD MA IA FL NC SC MI CT DE TN AL NE 5.1 NJ OK MN TXMO PA WI RI UT ND 4.9 KS SD WV IN OH IL CO NY KY AZ WA MT CA NM 4.7 NV ID OR WY 4.5 .9 1.1 1.3 1.5 Manufacturing Wage in 1950 1.7 1.9 Source: Olivier Jean Blanchard and Lawrence F. Katz, “Regional Evolutions,” Brookings Papers on Economic Activity 1 (1992): 161. 11 Summary • Labor market equilibrium • Some implications 12 Policy Application: Minimum Wage 13 Nobel Prize in Economics 2021 • “Using natural experiments, David Card has analysed the labour market effects of minimum wages, immigration and education. His studies from the early 1990s challenged conventional wisdom, leading to new analyses and additional insights. The results showed, among other things, that increasing the minimum wage does not necessarily lead to fewer jobs.” (https://www.nobelprize.org/uploads/2021/10/ press-economicsciencesprize2021-2.pdf) 14 The Minimum Wage • Minimum-wage laws dictates the lowest price for labor that employer may pay: an important example of a price floor • First introduced in New Zealand in 1894. US introduced MW in 1938. Most European nations have MW laws as well (higher min than US). • A frequent topic of debate: advocates view the policy as one way to raise the income of the working poor 15 Minimum Wages in the US • Mandatory min. wage was introduced in the labor market in 1938 ($25/hr, 43% workers covered) • Nominal wage has been adjusted at irregular intervals in the past 6 decades; coverage greatly expanded • Min. wage haven’t been indexed to inflation: real min. wage declines between the time that the nominal floor is set and the next time that Congress raised it 16 Minimum Wages in the US, 1938-2007 Nominal Minimum Wage Ratio Min. Wage to Avg. Mfg. Wage 7 0.6 6 5 Ratio 0.5 4 0.4 3 2 0.3 Nominal Wage 1 0 1938 0.2 1944 1950 1956 1962 1968 1974 1980 1986 1992 1998 2004 2010 Year 17 The Impact of the Minimum Wage on Employment Dollars S w- w* D E- E* ES Employment A minimum wage set at w- results in employers cutting employment from E* to E-. The higher wage also encourages ES – E* workers to enter the market. Thus, under a minimum wage, ES – E– workers are unemployed. 18 The Employment Effects of Minimum Wages • The unemployment rate is higher the higher the minimum wage and the more elastic are the labor supply and demand curves. • The least skilled workers now become particularly vulnerable to layoffs – those who can retain their jobs benefit from the law – the law provides little consolation to those who lose their jobs 19 An Effective Antipoverty Program? • The benefits of the minimum wage accrue mostly to workers who are not at the bottom of the distribution of permanent income (teenagers from households that are not poor): may not be a good anti-poverty tool even if it has few adverse employment effect 20 Minimum Wage Laws • Minimum wage laws imposed by state, local and Federal governments • “Covered” sector includes most jobs • States/locals can raise but not lower Federal minimum wage includes most jobs 21 Evidence: Employment Effects of Min. Wages • Model predicts that an ↑in the min. wage should ↓ employment of the affected group. • In the empirical literature, there was a long-standing consensus that the min. wage has adverse employment impacts on the most susceptible workers (ε=-0.1~-0.3) (time-series relation) • In the 1990s, several studies introduce a different methodology that carries out case studies that trace out the employment effects of specific min.-wage increase on specific industries or sectors. 22 Card and Krueger 1994 • The paper analyzes the impact of the min. wage in New Jersey and Pennsylvania • On April 1, 1992, New Jersey increased its min. wage to $5.05 per hour (highest in US), but Pennsylvania kept the min. wage at $4.25 (federal mandates). • A difference-in-differences model is used to assess the impacts of min. wage legislation 23 Difference-in-Differences Models • Maybe the most popular identification strategy in applied work today • Attempts to mimic random assignment with treatment and “comparison” sample • Application of two-way fixed effects model 24 Problem Set Up • Cross-sectional and time series data (panel) • One group is ‘treated’ with intervention • Have pre-post data for group receiving intervention • Can examine time-series changes but, unsure how much of the change is due to secular changes 25 Y True effect = Yb-Ya Estimated effect = Yt2-Yt1 Yt1 Ya Yb Yt2 t1 ti t2 time 26 • Intervention occurs at time period ti • True effect of law – Yb – Ya • Only have data at t1 and t2 – If using time series, estimate Yt2 – Yt1 • Solution? 27 Difference-in-Differences Models • Basic two-way fixed effects model – Cross section and time fixed effects • Use time series of untreated group to establish what would have occurred in the absence of the intervention • Key concept: can control for the fact that the intervention is more likely in some types of states 28 Three Different Presentations • Tabular • Graphical • Regression equation 29 Difference-in-Differences Before Change After Change Group 1 (Treat) Yt1 Yt2 ΔYt = Yt2-Yt1 Group 2 (Control) Yc1 Yc2 ΔYc =Yc2-Yc1 Difference Difference ΔΔY ΔYt – ΔYc 30 Treatment effect= (Yt2-Yt1) – (Yc2-Yc1) Y Yc1 Yt1 Yc2 Yt2 control treatment t1 t2 time 31 Key Assumption • Control group identifies the time path of outcomes that would have happened in the absence of the treatment • In this example, Y falls by Yc1-Yc2 even without the intervention • Note that underlying ‘levels’ of outcomes are not important (return to this in the regression equation) 32 Y Yc1 Treatment effect= (Yt2-Yt1) – (Yc2-Yc1) Yc2 Yt1 control Treatment Effect Yt2 treatment t1 t2 time 33 • In contrast, what is key is that the time trends in the absence of the intervention are the same in both groups • If the intervention occurs in an area with a different trend, will under/over state the treatment effect • In this example, suppose intervention occurs in area with faster falling Y 34 Y Estimated treatment Yc1 Yc2 Yt1 True treatment effect Yt2 treatment t1 t2 control True Treatment Effect time 35 Basic Econometric Model • Data varies by – state (i) – time (t) – Outcome is Yit • Only two periods • Intervention will occur in a group of observations (e.g. states, firms, etc.) 36 • Three key variables – Tit = 1 if obs i belongs in the state that will eventually be treated – Ait = 1 in the periods when treatment occurs – TitAit -- interaction term, treatment states after the intervention • Yit = β0 + β1Tit + β2Ait + β3TitAit + εit 37 Yit = β0 + β1Tit + β2Ait + β3TitAit + εit Before Change After Change Group 1 (Treat) β0+ β1 β0+ β1+ β2+ β3 ΔYt = β2+ β3 Group 2 (Control) β0 β0+ β2 ΔYc = β2 Difference Difference ΔΔY = β3 38 Research Question • What happens to labor demand when minimum wage increased? • Economic significance: test of theory of demand • Policy significance: key question faced by lawmakers every time there is a proposed change in the minimum wage law. 39 NJ Minimum Wage Hike • Federal MW stuck at $3.35 for most of the 90s • Because of inflation, real value of MW fell considerably • Nov 1989 law raised MW in 2 steps – To $3.80 on 4/1/90 – To $4.24 on 4/1/91 • NJ law – Passed in early 1990 – Went into effect April 1, 1992 – Raised minimum wage from $4.25 - $5.05/hr, 18% increase 40 • In 1992, NJ slipped into a recession • In March of 1992, State legislature voted to phase it in over two years – Governor vetoed – Vote margin not large enough to override veto • Law went into effect as planned 41 42 Questions • Why is NJ a good setting to test the impact of minimum wage on employment? – recession: effects of min wage are unlikely to be obscured – an economy closely linked to nearby states: can difference out seasonal employment effects using PA as a control group • Why is the fast food industry a good industry to examine? 43 Fast Food Industry 1. Leading employer of low-wage workers 2. Low rate of non-compliance with MW regulations 3. Job requirements and products are homogeneous – easy to measure employment and wages 4. Easy to construct a sample frame of franchised restaurants 5. High response to telephone surveys 44 Research Methodology • Examine employment before and after law goes into effect in NJ fast food restaurants • Compare this change to changes in employment for employers not impacted by law – Fast food restaurants in PA – “Control group” 45 • Telephone interview of fast food restaurants before law goes into effect • Ask store manager for basic information – Employees (full and part time) – Wages – Price of a basic meal • Re-survey the same stores in November 46 Table 1: Sample Frame NJ Stores PA Stores Contacted Interviewed Contacted Interviewed Wave 1 364 331 109 79 Wave 2 331 321 79 78 47 Notes about Sample • Restaurants from 4 chains – Burger King, KFC, Wendy’s and Roy Rogers – no McDonalds • Key outcome, Full time equivalents – FTE – FTE = full-time + 0.5 × part-time 48 Table 2: Means at Wave 1 NJ PA T-stat on difference % BK 41.1 44.3 -0.5 % RR 24.8 21.5 0.6 FTE 20.4 23.3 -2.0 % full-time 32.8 35.0 -0.7 Starting wage 4.61 4.63 -0.4 Hours open 14.4 14.5 -0.3 Outcome 49 Distribution of Starting Wages 50 Table 3: Row 4, Columns (i)(ii)(iii) Change in full time equivalent employment Mean and standard errors PA (mean of X2) NJ (mean of X1) Diff (Δ=mean of X1 - mean of X2) -2.28 0.47 2.75 (1.25) (0.48) (1.34) 51 Alternative Control Groups • Maybe PA is a bad control - notice that employment in NJ increased, but in PA it fell. Most of the effect is generated by an decrease in the employment in PA • Are there other control groups available? • High wage stores in NJ – Stores currently paying above the new MW – Will not be impacted by the new law – it is not binding 52 Dollars S w* wm D E* Employment 53 Table 3: Row 4, Columns (iv)(vi)(vii) Change in full time equivalent employment Mean and standard errors Low Wage High Wage stores in NJ (X1) stores in NJ (X2) Diff (Δ=mean of X1 - mean of X2) 1.21 -2.16 3.36 (0.82) (1.01) (1.30) 54 • Regression models that make allowance for other sources of variation in employment growth produce very similar results • The difference-in-differences estimates of the impact of the min. wage on employment was an increase of about 2.7 workers in the typical fast-food restaurants 55 Summary and Discussion of the Results • The paper finds that the increase in min. wage increased employment • It raises important questions about how labor economists think about the impact of min. wage • Maybe the adverse effect of the min. wage is relatively small • And measurement error in the data generates noisy estimates that mask the “true” effect 56 Causal Effects in the DD Model 57 Common Trends? Card and Krueger 2000 58 A More Encouraging Example • Jörn-Steffen Pischke, “The Impact of Length of the School Year on Student Performance and Earnings: Evidence from the German Short School Years,” Economic Journal, 117, Oct. 2007, 1216-1242. • Use variation generated by a sharp policy change in Germany 59 • Until the 1960s, children in all German states except Bavaria started school in the Spring. • Beginning in the 1966-67 school year, the Springstarters moved to start school in the Fall. • The transition to a Fall start required two short school years for affected cohorts, 24 weeks long instead of 37. • Students in these cohorts effectively had their time in school compressed relative to cohorts on either side and relative to students in Bavaria, which already had a Fall start. 60 61 • This graph provides strong visual evidence of treatment and control states with a common underlying trend, and a treatment effect that induces a sharp but transitory deviation from this trend. • A shorter school year seems to have increased repetition rates for affected cohorts. 62 Minimum Wages in China • In 1984, China recognized the minimum wage principle that was embodied in the “Minimum Wage Treaty” of the International Labour Organization (ILO) in 1928 but did not implement its own legislation. • In 1993, China issued its first minimum wage regulations • In 1994, the regulations were written into China’s new version of the Labor Law 63 The 1994 Legislation • All enterprises should comply with paying local minimum wages • Local governments should set the minimum wage according to five principles (considerable flexibility): – local average wages; productivity; unemployment; economic development; minimum living expenses • Local government have incentives to restrain minimum wages to attract foreign investment • By the end of 1995, 24 provinces and municipalities had set their own minimum wages. 64 The 2004 Legislation • Promulgated in Feb and put into effect in Apr • Extend coverage to township-village enterprises, to employees in self-employed business, and to parttime workers • Penalties for violation increased from an earlier range of 20%-100% of the wage that was owed to a new range of 100%-500% of the owed wage • Employers were not to include subsidies such as overtime pay or canteen and traveling supplements as part of the wage when calculating minimum wages. 65 Problems with China’s Minimum Wages • China tends to have difficulty in enforcing compliance with its labor legislation especially in the private sector • The most common violations tend to involve employers, including the value of subsidies and fringe benefits such as overtime pay, travel supplements, nightshift premiums, and employer’s portion of pensions in the wage package • Despite the weak enforcement, such legislation has taken the first steps in establishing a legal basis for the rights of workers in this area 66 Trend of Minimum Wage 67 Variation of Minimum Wage over Time 68 Minimum Wages Increase in 14 Provinces in 2010 Unit: yuan/month Previous Now Shanghai 960 1120 Zhejiang 960 1100 Guangdong 860 1030 Beijing 860 960 Jiangsu 850 960 Tianjin 820 920 Shandong 760 920 Hubei 700 900 Fujian 750 900 Shanxi 720 850 Hunan 665 850 Jilin 650 820 Shaanxi 600 760 Ningxia 560 710 69 Beijing 2015 • Beijing raised its minimum wage from 1560 to 1720 yuan/month • Meanwhile, minimum wage paid to part-time workers was raised from 16.9 to 18.7 yuan/hour • Minimum wage paid to part-time workers during statutory holidays was raised from 40.8 to 45 yuan/hour 70 Hau, Huang and Wang, 2020 71 Hau, Huang and Wang, 2020 • Did adverse cost shocks accelerate productivity growth of Chinese manufacturing firms? • Did other factors like firm ownership and management quality affect this endogenous response? 72 Hau, Huang and Wang, 2020 73 Summary • Minimum wage • Minimum wage in the US • Minimum wage in China 74 Policy Application: Payroll Taxes • Payroll taxes assessed on employers lead to a downward, parallel shift in the labor demand curve. – The new demand curve shows a wedge between the amount the firm must pay to hire a worker and the amount that workers actually receive. – Payroll taxes increase total costs of employment, so these taxes reduce employment in the economy. – Firms and workers share the cost of payroll taxes, since the cost of hiring a worker rises and the wage received by workers declines. – Payroll taxes result in deadweight losses. 75 The Impact of a Payroll Tax Assessed on Firms Dollars S w1 + 1 A w0 w1 B w0 - 1 D0 D1 E1 E0 Employment A payroll tax of $1 assessed on employers shifts down the demand curve (from D0 to D1). The payroll tax decreases the wage that workers receive from w0 to w1, and increases the cost of hiring a worker from w0 to w1 + 1. 76 The Impact of a Payroll Tax Assessed on Workers S1 Dollars S0 w0 + 1 w1 w0 w1 - 1 D0 D1 E1 E0 Employment A payroll tax assessed on workers shifts the supply curve to the left (from S0 to S1). The payroll tax has the same impact on the equilibrium wage and employment regardless of who it is assessed on. 77 Tax Incidence • The manner in which the burden of a tax is shared among participants in a market • The lawmakers cannot easily dictate the distribution of a tax burden • The key feature of a payroll tax is that it places a wedge between the wage that the firm pay and the wage that the workers receive. • The true incidence of the tax has little to do with the way the tax is collected 78 The True Incidence of the Payroll Tax Dollars S0 Wages firms pay Tax wedge Wages workers receive D0 E1 E0 Employment 79 • A payroll tax places a wedge between the wage that workers receive and the wage that firms pay. Comparing wages with and without the tax, you can see that workers and firms share the tax burden. This division of the tax burden between workers and firms does not depend on whether the government levies the tax on workers or levies the tax on firms. • A tax burden falls more heavily on the side of the market that is less elastic. 80 The Impact of a Payroll Tax Put on Firms with Inelastic Supply Dollars S w0 A B w0 – 1 D0 D1 E0 Employment A payroll tax assessed on the firm is shifted completely to workers when the labor supply curve is perfectly inelastic. The wage is initially w0. The $1 payroll tax shifts the demand curve to D1, and the wage falls to w0 – 1. 81 82 Welfare Implication of a Payroll Tax No-Tax Equilibrium Payroll Tax Equilibrium Producer surplus P P* Worker surplus Q Q* Tax revenues - T P+Q P*+Q*+T - DL Total gain from trade Deadweight loss 83 Summary • Payroll tax – Welfare implication 84 Policy Application: The Labor Market Impact of Immigration • US witnessed a major resurgence in immigration after 1956 – In the 1950s, only about 250,000 immigrants entered the country annually – Since 2000, over 1M legal and illegal immigrants are entering the county annually • A resurgence of large-scale immigration in other developed countries 85 Immigration • The key issue: what is the impact of immigrants on the labor market opportunities of native-born workers? • As immigrants enter the labor market, the labor supply curve shifts to the right. – Total employment increases. – Equilibrium wage decreases. 86 Effect on Native-born Workers • Immigration reduces the wages and employment of similarly-skilled native-born workers, but native-born workers may be able to increase their productivity by specializing in tasks better suited to their skills. • Competing native workers will have lower wages; complementary native workers will have higher wages. 87 The Short-Run Impact of Immigration When Immigrants and Natives Are Perfect Substitutes Dollars Supply w0 w1 Demand N1 N0 E1 Employment As immigrants and natives are perfect substitutes, the two groups are competing in the same labor market. Immigration shifts out the labor supply curve. As a result, the wage falls from w0 to w1, and total employment increases from N0 to E1. At the lower wage, the number of natives who work declines from N0 to N1. 88 The Short-Run Impact of Immigration when Immigrants and Natives are Complements Dollars Supply w1 w0 Demand N0 N1 Employment If immigrants and natives are complements, they do not compete in the same labor market. The labor market here denotes the supply and demand for native workers. Immigration makes natives more productive, shifting out the labor demand curve. This leads to a higher native wage and to an increase in native employment. 89 The Long-Run Impact of Immigration When Immigrants and Natives Are Perfect Substitutes • In the SR, immigrants lower the wage • The increased profitability will raise the returns to K, therefore attract K flows into the market as old firms expand and new firms start • The increase in K will shift the demand curve for labor to the right and tend to attenuate the (-) impacts of the initial labor supply shock 90 An Illustration Using Cobb-Douglas • q = AKαL1- α • constant returns to scale • suppose price of output is $1 – r = $1 × αAKα-1L1-α (rate of return to capital) – w = $1 × (1-α)AKαL-α (wage) • or – r = $1 × αA(K/L)α-1 – w = $1 × (1-α)A(K/L)α 91 • r = $1 × αA(K/L)α-1 and w = $1 × (1-α)A(K/L)α • In the SR, the increase in L will raise r and lower w • In the LR, K will adjust such that r falls to its “normal” level (r is fixed in the LR) • It implies that (K/L) is fixed in the LR • which in turn implies that w is also constant in the LR 92 The Long-Run Impact of Immigration When Immigrants and Natives Are Perfect Substitutes Dollars Supply w0 w1 Demand N0 N0 + Immigrants Employment Immigration initially shifts out the labor supply curve so the wage falls from w0 to w1. Over time, capital expands as firms take advantage of the cheaper workforce, shifting out the labor demand curve and restoring the original wage and level of native employment. 93 Spatial Correlations • The cross-city correlations estimated between wages and immigration • Compares native earnings in cities where immigrants are a substantial fraction of the labor force with cities where immigrants are a relatively small fraction • If immigrants and natives are substitutes, native earnings should be lower if they reside in labor markets where immigrants are in abundant supply • Empirically, the correlation is very small (-). But again, correlation does not imply causation 94 The Mariel Boatlift • On April 20, 1980, Fidel Castro declared that Cuban nationals wishing to move the US could leave freely from the port of Mariel. • By September 1980, about 125,000 Cubans, mostly low-skilled workers, had chose to undertake the journey – a sizable demographic impact on Miami’s labor force (↑ 7%) 95 The Mariel Boatlift In April 1980, asylum-seeking Cubans created a crisis that led to a massive boatlift to Florida. Castro branded the refugees escoria -- "trash" -and opened the port of Mariel to over 125,000 Cubans wishing to leave. 96 Card 1990 The Mariel Flow Before After Miami 8.3 9.6 Comparison cities 10.3 12.6 Unemployment rate of blacks in Difference-in-differences -1.0 The trend of wages and employment opportunities for Miami’s population was barely affected by the Mariel flow. 97 The Native Labor Market’s Response to Immigration Dollars Dollars S0 S2 S0 S1 PLA S3 PPT w0 w0 w* w* wLA Demand Demand Employment Employment (a) Los Angeles (b) Pittsburgh Originally, both markets pay equilibrium wages of w0. After immigration into Los Angeles, both markets eventually converge to a new equilibrium wage at w*, which is less than w0. 98 The Immigration Surplus Dollars S¢ S A B w 0 C w 1 F D 0 N M Employment Prior to immigration, there are N native workers in the economy and national income is given by the trapezoid ABN0. Immigration increases the labor supply to M workers and national income is given by the trapezoid ACM0. Immigrants are paid a total of FCMN dollars as salary. The immigration surplus gives the increase in national income that accrues to natives and is given by the area in the triangle BCF. 99 Calculating the Immigration Surplus • Immigration surplus = ½ × (w0-w1) × (M-N) • Immigration surplus / National income = ½ × (% change in native wage rate) × (% change in employment) × (labor’s share of national income) 100 Summary • Immigration – Analytical framework – An empirical study 101 The Cobweb Model • Many labor markets do not adjust instantaneously to shifts in supply or demand curves • Markets for highly skilled workers, for example, exhibits systematic periods of booms and busts. • Two assumptions of the cobweb model: – Time is needed to produce skilled workers. – Persons decide to become skilled workers by looking at conditions in the labor market at the time they enter school. 102 Cobweb Model (continued) • A “cobweb” pattern forms around the equilibrium. • The cobweb pattern arises when people are misinformed. • The model assumes naïve workers who do not form rational expectations. • Rational expectations are formed if workers correctly perceive the future and understand the economic forces at work. 103 The Cobweb Model in the Market for New Engineers Dollars S w1 w3 w* w2 w0 D¢ D E0 E2 E* E1 Employment The initial equilibrium wage in the engineering market is w0. The demand for engineers shifts to D¢, and the wage will eventually increase to w*. Because new engineers are not produced instantaneously and because students might mis-judge future opportunities in the market, a cobweb is created as the market adjusts to the increase in demand. 104 Dollars S w0 D¢ D E0 Employment 105 Dollars S w1 w0 D¢ D E0 Employment 106 Dollars S w1 w0 D¢ D E0 Employment 107 Dollars S w1 w0 D¢ D E0 E1 Employment 108 Dollars S w1 w2 w0 D¢ D E0 E1 Employment 109 Dollars S w1 w2 w0 D¢ D E0 E2 E1 Employment 110 Dollars S w1 w3 w2 w0 D¢ D E0 E2 E1 Employment 111 Dollars S w1 w3 w* w2 w0 D¢ D E0 E2 E* E1 Employment 112 Noncompetitive Labor Markets: Monopsony • Monopsony market exists when a firm is the only buyer of labor. – the one-company town, e.g., a coal mine in a remote location • Monopsonists must increase wages to attract more workers. • Two types of monopsonist firms: – Perfectly discriminating – Nondiscriminating 113 Perfectly Discriminating Monopsonist • Perfectly discriminating monopsonists are able to hire different workers at different wages. • To maximize firm surplus (profits), a perfectly discriminating monopsonist “perfectly discriminates” by paying each worker his or her reservation wage. 114 The Hiring Decision of a Perfectly Discriminating Monopsonist Dollars S A w* w30 VMPE w10 10 30 E* Employment The labor supply curve gives the marginal cost of hiring. Profit maximization occurs at point A. The monopsonist hires the same number of workers as a competitive market, but each worker is paid his or her reservation wage. 115 Nondisriminating Monopsonist • Must pay all workers the same wage, regardless of each worker’s reservation wage. • Must raise the wage of all workers when attempting to attract more workers. • Employs fewer workers than would be employed if the market were competitive. 116 Calculating the Marginal Cost of Hiring for a Nondiscriminating Monoposonist Wage (w) Number of Persons Willing to Work at That Wage (E) w×E Marginal Cost of Labor $4 0 $0 - 5 1 5 $5 6 2 12 7 7 3 21 9 8 4 32 11 117 The Hiring Decision of a Nondiscriminating Monopsonist Dollars MCE VMPM S A w* wM VMPE EM E* The marginal cost of hiring exceeds the wage, and the marginal cost curve lies above the supply curve. Profit maximization occurs at point A; the monopsonist hires EM workers and pays them all a wage of wM. Employment 118 The Impact of the Minimum Wage on a Nondiscriminating Monopsonist Dollars MCE S A w* wwM The minimum wage may increase both wages and employment when imposed on a nondiscriminating monopsonist. A minimum wage set at w- increases employment to E-. VMPE EM E- Employment 119 Upward-Sloping Labor Supply Curve for a Competitive Firm • A firm could have some degree of monopsony power even in a competitive market • Mobility costs can introduce a great deal of inertia into the labor market – A firm wishing to hire more workers will have to keep raising its wage to compensate for the costs incurred as they switch jobs • Monitoring problem when the firm is large – As the firm expands its employment and finds it more difficult to monitor its workers, the firm may want to pay a higher wage to keep the workers in line 120 Monopoly in the Product Market: A Review • Firms that have monopoly power can influence the price of the product that they sell. • Monopolist faces a downward sloped market demand curve for its output and an even lower downward sloped marginal revenue curve. 121 The Output Decision of a Monopolist Dollars MC pM p* A MR q M q* D Output A monopolist faces a downward-sloping demand curve for her output. The marginal revenue from selling an additional unit of output is less than the price of the product. Profit maximization occurs at point A where the monopolist produces qM units of output and sells each unit of output at a price of pM dollars. 122 A Monopolist’s Hiring Decision • It hires up to the point where the contribution of the last worker hired equals the cost of hiring. • The marginal revenue product of labor gives the additional revenue from hiring an extra person • MRPE = MR × MPE 123 The Labor Demand Curve of a Monopolist Dollars w A MRPE EM E* VMPE Employment The marginal revenue product is less than the worker’s value of marginal product. Profit maximization occurs at point A where the monopolist hires fewer workers (EM) than would be hired in a competitive market. 124 Summary • Cobweb model • Non-competitive markets 125