Jennifer N. Victor University of Pittsburgh jnvictor@pitt.edu Gregory Koger University of Miami gkoger@miami.edu House Democrats 3% 42% 45% 10% PACs House Republicans 2% 4% Small Individual Contributions Large Individual Contributions Self-Financing 43% 42% Other Senate Democrats 9% Senate Republicans 1% 3% 8% 14% 8% 24% 20% 55% 11% 56% Source: Center for Responsive Politics http://www.opensecrets.org/bigpicture/wherefrom.php?cycle=2006 Constituents/public opinion (Achen 1978; Hill and Hurley 1999; Miller and Stokes 1963) Representation of subgroups (Arnold 1990; Bartels 2008; Bishin 2000, 2009; Fenno 1978) Parties/Party loyalty (Cox and Poole 2002; Lebo, McGlynn and Koger 2007; Lee 2008; Sinclair 2002) Organized Interests (Mansbridge 2003; Ansolahebere, de Figueiredo, and Snyder 2003; Exchange/Access Theory Campaign donations in exchange for votes or access But: Reneging? Small donations? Non-PAC organizations? Information Theory Information persuades legislators But: Why lobby allies? Subsidy Theory Lobbyists subsidize legislators But: Other resources? Why pay to play? Legislators’ relationships with the lobbying community influence their voting behavior. Emphasize the system of connections between legislators and lobbyist-donors, rather than the “transaction.” Existing evidence that legislators and lobbyists desire long term relationships (Snyder 1990; Berry and Wilcox 2009). Donations are observable evidence of relationships and common interests. Ceteris paribus, we expect legislators who are more connected through the lobbying-donation network (directly or indirectly) to be more likely to vote the same way. Federal donations by lobbyists in the 2006 election cycle (109th Congress) Obtained from the Center for Responsive Politics 20,639 donations by 1,225 lobbyists Recipients Candidates for Congress National Party PACs PACs, including Leadership PACs 9,751 dyadic observations of lobbyist donations to MCs. 2-mode network A 1 B 2 C Lobbyists Legislators 1-mode network A 1 B Legislators 2 C OR 1 B Lobbyists 2 Mean Per MC 18 Per Dyad 0.68 Per House 0.42 Dyad Per Senate 3.4 Dyad Median 10 0 SD Min 23.8 2 0 0 Max 220 76 0 1.1 0 32 1 6.5 0 76 Member 1 Number of Common Member 2 Lobbyist Donors Cantwell Clinton 76 Santorum Allen 67 Conrad Cantwell 61 Carper Cantwell 60 Cantwell Nelson, Ben Menendez Clinton 59 Nelson, Bill Clinton 56 Nelson, Bill Cantwell 55 Conrad Clinton 52 Kennedy Cantwell 51 56 We aren’t just interested in the number of common donors legislators share, but how legislators are connected through the network. Ties come in different forms: Lobbyists [A,B] indirectly connect legislators [1,3] 1 A 2 B Lobbyists 3 Legislators We aren’t just interested in the number of common donors legislators share, but how legislators are connected through the network. Ties come in different forms: Lobbyists Reinforce Cleavages A B C D 1 2 3 4 Lobbyists Legislators We aren’t just interested in the number of common donors legislators share, but how legislators are connected through the network. Ties come in different forms: Lobbyist Ties Link Legislators A B C D 1 2 3 4 Lobbyists Legislators Senate Member 1 Member 2 Cantwell (DWA) Santorum (RPA) DeWine (ROH) DeWine (ROH) DeWine (ROH) Conrad (DND) Conrad (DND) Santorum (RPA) Santorum (RPA) DeWine (ROH) Nelson (DNE) Nelson (DNE) Santorum (RPA) Cantwell (DWA) Nelson (DNE) Cantwell (DWA) Nelson (DNE) Cantwell (DWA) Allen (R-VA) Allen (R-VA) House (ln) Point Connectivity Number of Common Lobbyistdonors 5.945 59 5.894 17 5.889 43 5.878 15 5.875 11 5.866 61 5.864 46 5.861 10 5.855 67 5.852 35 Member 1 Member 2 DeLay (R-TX 22) Lewis (R-CA 41) Lewis (R-CA 41) Lewis (R-CA 41) DeLay (R-TX 22) Menendez (DNJ 10) Lewis (R-CA 41) DeLay (R-TX 22) Pombo (R-CA 11) Pombo (R-CA 11) Bonilla (R-TX 23) Bonilla (R-TX 23) DeLay (R-TX 22) Menendez (DNJ 13) Menendez (DNJ 13) Bonilla (R-TX 23) Pombo (R-CA 11) Pombo (R-CA 11) Bonilla (R-TX 23) Menendez (DNJ 13) (ln) Point Connectivity Number of Common Lobbyistdonors 5.724 22 5.724 10 5.717 9 5.697 4 5.694 0 5.694 0 5.68 7 5.677 16 5.677 8 5.673 1 Voting Agreement The probability legislator a voted the same as legislator b, given that they both voted. House: mean = 0.69, range: 0.1-1 Senate: mean= 0.65, range: 0.26-0.98 Analysis of Social Network data requires particular attention to: Sampling Autocorrelation We want to model the relationships between observations. Use a mixed model: (legislators nested in dyads). Dyads (level 1, i); Legislators (level 2, j). Include a legislator-specific random intercept, ζ1j, to capture unobserved heterogeneity between observations. We assume the random intercept and residual are normally distributed ζj ~N(0, ψ); εij ~N(0,θ) Legislators who are more connected through the lobbyist-donors network are more likely to vote together. CONTROLS: Service on the same committees Constituent Preferences Party membership (same party) Being from the same state Being electorally vulnerable Being a party/committee leader Terms served Demographics TABLE 5 HOUSE VOTING AGREEMENT: Random Intercept Mixed Regression Model, 2006 election cycle MODEL I - Full House MODEL II - Connected Dyads MODEL III - Unconnected Dyads Coeff. Z Pr>|z| Coeff. Z Pr>|z| Coeff. Z Pr>|z| 0.0026 0.0050 (ln)Connectivity (via common 19.41 0.000 15.51 0.000 (0.0001) (0.0003) lobbyist-donors) 0.0014 0.0016 0.0013 Committee Service Coincidence 3.28 0.001 3.49 0.000 0.85 0.397 (0.0004) (0.0004) (0.0015) Constituency Preferences (cd presidential vote difference) Both Democrats -0.0033 (0.00002) 0.3535 (0.0006) Both Republicans 0.3507 (0.0005) Dyad in Same State 0.0111 (0.001) Both in Competitive CDs 0.0005 (0.0026) Black (at least one) Woman (at least one) Party Leader (at least 1) 0.0257 (0.0006) -0.0045 (0.0005) -0.0009 (0.0005) Senior (at least one) -0.0034 (0.0006) Total Donors 0.0001 (0.00001) Constant 0.5538 (0.0008) N Number of Groups Log Likelihood 191,386 95,693 702371.19 Numbers i n pa renthes e a re robus t s ta nda rd errors -166.04 0.000 637.67 0.000 670.84 0.000 11.19 0.000 0.20 0.843 41.85 0.000 -9.98 0.000 -1.90 0.058 -6.06 0.000 4.53 0.000 670.54 0.000 -0.0032 (0.00002) 0.3539 (0.0005) 0.3540 (0.0005) 0.0130 (0.001) -0.0005 (0.0025) 0.0274 (0.0006) -0.0034 (0.0005) -0.001 (0.0005) -0.0025 (0.0006) 0.0000 (0.00003) 0.5410 (0.0014) 163,612 81,806 604889.38 -161.13 0.000 631.03 0.000 671.66 0.000 13.03 0.000 -0.22 0.826 42.69 0.000 -7.40 0.000 -1.96 0.050 -4.41 0.000 2.14 0.032 380.14 0.000 0.0034 (0.0001) 0.3532 (0.0019) 0.3278 (0.0019) -0.0001 (0.0035) 0.0178 (0.0019) 0.0102 (0.0016) 0.0019 (0.0018) 0.0125 (0.002) -0.0000 (0.0001) 0.5773 (0.0026) 27,774 13,887 82329.5 -52.14 0.000 182.56 0.000 177.11 0.000 -0.04 0.968 - - 9.16 0.000 -6.24 0.000 1.08 0.281 -6.38 0.000 -0.46 0.000 224.50 0.000 TABLE 6 SENATE VOTING AGREEMENT: Random Intercept Mixed Regression Model, 2006 election cycle MODEL I - Full Senate MODEL II - Connected Dyads MODEL III - Unconnected Dyads Coeff. Z Pr>|z| Coeff. Z Pr>|z| Coeff. Z Pr>|z| -0.001 0.0040 (ln)Connectivity (via common -1.47 0.143 2.40 0.016 (0.0007) (0.0017) lobbyist-donors) 0.0040 0.0051 0.0007 Committee Service Coincidence 2.40 0.016 2.81 0.005 0.18 0.854 (0.0017) (0.0018) (0.0038) Constituency Preferences (cd presidential vote difference) Both Democrats -0.005 (0.0002) 0.3805 (0.0035) Both Republicans 0.3752 (0.0031) Dyad in Same State 0.0341 (0.0128) Both in Cycle 0.0204 (0.0056) Black (at least one) Woman (at least one) Party Leader (at least 1) 0.0069 (0.0093) 0.0039 (0.003) -0.0047 (0.0035) Senior (at least one) 0.0191 (0.0042) Total Donors 0.0001 (0.00002) Constant 0.4947 (0.005) N Number of Groups Log Likelihood 10,098 5,049 25796.165 Numbers i n pa renthes e a re robus t s ta nda rd errors -26.56 0.000 107.54 0.000 122.88 0.000 2.66 0.008 3.67 0.000 0.74 0.457 1.33 0.183 -1.34 0.181 4.53 0.000 1.84 0.066 99.36 0.000 -0.0046 (0.0002) 0.3807 (0.004) 0.3732 (0.0033) 0.0202 (0.0141) 0.0184 (0.0054) 0.0040 (0.0096) 0.0054 (0.0032) -0.0000 (0.0041) 0.0078 (0.0047) -0.0000 (0.0000) 0.4768 (0.0086) 7,656 3,828 19428.573 -22.57 0.000 96.12 0.000 114.82 0.000 1.43 0.153 3.38 0.001 0.42 0.676 1.72 0.085 -0.01 0.990 1.68 0.093 -0.04 0.972 55.76 0.000 -0.0064 (0.0005) 0.3767 (0.0077) 0.3778 (0.0077) 0.0718 (0.0286) 0.0367 (0.0286) -0.002 (0.007) -0.014 (0.0069) 0.0575 (0.0096) 0.0001 (0.00007) 0.4843 (0.011) 2,442 1,221 5188.0659 -14.14 0.000 49.12 0.000 48.89 0.000 2.51 0.012 - - 1.28 0.199 -0.25 0.803 -2.06 0.040 5.98 0.000 1.90 0.058 43.98 0.000 HOUSE VOTING AGREEMENT: Random Intercept Mixed Regression Model, 2006 election cycle MODEL I - Full House (ln)Connectivity (via common lobbyistdonors) Coeff. 0.0026 Z Pr>|z| 19.41 0.000 3.28 0.001 -166.04 0.000 637.67 0.000 670.84 0.000 11.19 0.0111 191,386 95,693 702371.2 0.000 (0.0001) Committee Service Coincidence 0.0014 Constituency Preferences (cd presidential vote difference) Both Democrats -0.0033 (0.0004) (0.00002) 0.3535 (0.0006) Both Republicans 0.3507 (0.0005) Dyad in Same State N Number of Groups Log Likelihood TABLE 6 SENATE VOTING AGREEMENT: Random Intercept Mixed Regression Model, 2006 election cycle MODEL II - Connected MODEL III - Unconnected MODEL I - Full Senate Dyads Dyads Coeff. Z Pr>|z| Coeff. Z Pr>|z| Coeff. Z Pr>|z| -0.001 0.0040 (ln)Connectivity (via -1.47 0.143 (0.0017) 2.40 0.016 (0.0007) common lobbyist-donors) 0.0040 Committee Service (0.0017) Coincidence Constituency Preferences -0.005 (0.0002) (cd presidential vote difference) Both Democrats 0.3805 (0.0035) Both Republicans 0.3752 (0.0031) N Number of Groups 10,098 5,049 2.40 0.016 0.0051 (0.0018) -0.0046 -26.56 0.000 107.54 0.000 122.88 0.000 (0.0002) 0.3807 (0.004) 2.81 0.005 0.000 22.57 96.12 0.000 0.3732 114.8 0.000 (0.0033) 2 7,656 3,828 0.0007 (0.0038) 0.18 0.854 -0.0064 (0.0005) 0.3767 (0.0077) 0.3778 (0.0077) 2,442 1,221 -14.14 0.000 49.12 0.000 48.89 0.000 Predicted Probability of Voting Agreement Predicted Probability of Co-voting Among MCs Connected by Lobbyists' Donations 0.72 House Mean Co-voting 0.7 0.68 0.66 0.64 0.62 Senate Mean Co-voting 0.6 min 5% 25% 50% 75% 95% Connectivity via Common Lobbyists' Donations House Voting Coincidence Senate Voting Coincidence max Actual Data: Most Central Senators in Lobby-Donor Network (N=38) Senate 38 most central actors (those with greater than mean degree centrality), opacity of tie indicates voting agreement, color indicates leadership, squares are in-cycle, circles are not. Compared to random data: more GREEN, more dark ties, more SQUARES, and LARGER nodes. Size of node = $ contributions Color of node = Non-leader = Leader Shape of node = in cycle = not up Random Senators (N=38) Senate 38 random senators, opacity of tie indicates voting agreement, color party, squares are in-cycle, circles are not. Representative Edolphus Towns (D-NY) Edolphus Towns (D-NY) Edolphus Towns (D-NY) Edolphus Towns (D-NY) Charles Rangel (DNY) Charles Rangel (DNY) Charles Rangel (DNY) Charles Rangel (DNY) Charles Rangel (DNY) Charles Rangel (DNY) Representative Vote Agreement (μ = 0.69) Ideological Difference (μ = 15.0) Point Connectivity (μ = 96.4) Roy Blunt (R-MO) 0.45 54 246 0.811 56 242 0.447 53 235 0.441 52 234 0.80 60 225 0.432 54 225 0.412 55 225 0.444 57 225 0.43 52 225 0.452 55 225 Chet Edwards (DTX) John Carter (RTX) Joe Barton (R-TX) Chet Edwards (DTX) Tom DeLay (RTX) John Sullivan (ROK) John Carter (RTX) Eric Cantor (RVA) John Boehner (ROH) Senator Senator Edward Kennedy (D-MA) Edward Kennedy (D-MA) Orin Hatch (RUT) Orin Hatch (RUT) Orin Hatch (RUT) Orin Hatch (RUT) Ben Nelson (DNE) Hillary Clinton (D-NY) Richard Durbin (D-IL) Lincoln Chafee (R-RI) Lincoln Chafee (R-RI) Hillary Clinton (D-NY) Craig Thomas (RWY) Craig Thomas (RWY) Orin Hatch (RUT) Thomas (R-WY) Craig Thomas (RWY) Edward Kennedy (D-MA) Patrick Leahy (DVT) Patrick Leahy (DVT) Vote Agreement (μ = 0.65) Ideological Difference (μ = 9.7) Point Connectivity (μ = 95.7) 0.359 35.94 319 0.583 29.26 318 0.408 32.37 304 0.38 33.42 245 0.626 33.42 245 0.608 30.35 241 0.374 29.3 240 0.324 32.87 240 0.35 29.87 215 0.39 32.94 215 Our innovations on the question of how/whether lobbyists influence legislators: Look at lobbyists’ personal donations, not PACs Use network analysis. We find that, ceteris paribus, the stronger the connection between legislators in the lobbying network, the more likely the are to vote together. Effect is stronger in the House than the Senate At the very least, lobbyists’ donation are indicative of legislators latent policy preferences. Our data are also consistent with the relatively unsupported claim that lobbyists buy votes. Representation Which has more explanatory power: donations or constituents? Power Who is most central in the legislator network? Ties Can we predict who will donate/receive? If lobbyists primarily seek relationships, there will be evidence of ties over time. Prof. Jennifer N. Victor 3 2 1 0 Density 4 5 Voting Agreement--House 0 .2 .4 .6 House Coincidence of Voting .8 1 0 1 2 Density 3 4 5 Voting Agreement--Senate .2 .4 .6 Senate Coincidence of Voting .8 1 Why networks, and why now? Not inconsistent with methodological individualism. Network analysis considers the unit of analysis to be a relationship rather than the individual. Politics is naturally about relationships. Technology now makes it possible. Network tools are particularly useful when we want to understand: Flow of information i.e., voter contagion: Nickerson APSR 2008 Coordination and cooperation i.e., collective action problems: Siegel AJPS 2009 Informal institutions i.e., Caucuses: Victor & Ringe 2009 Multiple levels of organizations i.e., international capitalism: Lazer 2005 Senate Co-sponsorship (Fowler 2006) 2004 A-list Bloggers (Adamic and Glance 2005) Number of Papers Published in Major Political Science Journals with the word "Network" in the Title Number of Publications (APSR, AJPS, JOP, IO, LSQ, BJPS, APR, PSQ, PA, PS, PC) (Data Complied by author) 20 15 10 5 0 Quotes from lobbyists: ‘I don't usually give out my personal money unless I know the person and I feel like I've got some kind of respect and relationship with that person’ - Republican lobbyist Richard F. Hohlt as quoted in Carney 2007. Quotes from lobbyists: ‘I do not give for the purpose of having access. Virtually everyone I deal with in representation of a client I know personally and I have known personally for 10, 15, 20 years. So, when I enter, I enter on the basis of my credibility and the issues at hand, and not based upon the fact that I have contributed to an individual and am seeking access to that individual.’ -Former Rep. Tom Loeffer (R-TX) quoted in Carney 2007. Quotes from lobbyists: Tony Podesta says that personal relations, not a desire for access, drive his donations. ‘In every case, they are people I know, people who are friends, people I have a relationship with,’ he says. ‘It’s not a door-opener kind of thing. It’s rather an effort to keep in office or send to office people who are doing a good job.’ - Tony Podesta, Democratic lobbyist as quote in Carney 2007. Negative Binomial Predicting Number of Lobbyist-Donors, 2006 cycle House Senate Number of Lobbyist-Donors Number of Lobbyist-Donors Coeff. Z Pr>|z| Coeff. Z Pr>|z| -0.490 0.244 Distrance from Median -2.14 0.032 0.78 0.435 (0.229) (0.313) Competitive District/In Cycle African-American/Minority 0.500 (0.107) -0.322 (0.233) Woman Party/Committee Leader Terms Served Constant -0.029 (0.010) 0.724 (0.149) 0.008 (0.012) 2.523 (0.103) 4.47 0.000 -1.38 0.167 -0.29 0.771 4.87 0.000 0.65 0.516 24.43 0.000 1.328 (0.145) -0.285 (0.339) -0.148 (0.227) 0.388 (0.158) -0.064 (0.042) 3.065 (0.156) ln(alpha) -0.394296 -0.394629 (0.089) (0.194) alpha 0.674154 0.673930 (0.060) (0.131) N 437 Log Restricted-Likelihood -1522 robust standard errors in parentheses, clustered on state 101 -454 9.19 0.000 -0.84 0.401 -0.65 0.514 2.45 0.014 -1.51 0.132 19.67 0.000 Common Lobbyist-Donors Committee Coincidence House: mean = 0.2, range: 0-3 Senate: mean = 0.73. range: 0-4 Ideological Distance House: mean = 0.5, range: 0 – 1.9 Senate: mean = 0.5, range: 0 – 1.9 Same State: 0 (139,457) or 1 (4,996) Electoral Vulnerability House (Cook Competitive District): Electoral Vulnerability, at least 1 House (Cook Competitive District): 0 (81,406); 1 (14,297) Senate (in cycle 2006): 0 (2,628); 1 (2,422) Leadership (party, committee, cardinal) , at least 1 House: 0 (69,378); 1(26,325) Senate: 0 (1,275); 1 (3,775) Senior, at least 1 greater than mean terms served House: 0 (16,117); 1 (79,586) Senate: 0 (828); 1 (4,222) African-American, at least 1 House: 0 (79,401); 1 (16,302) Racial Minority, at least 1 Senate: 0 (4,465); 1 (585) Woman, at least 1 House: 0 (69,378); 1 (26,325) Senate: 0 (3,741); 1 (1,309)