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Bargaining Foundations of the Median Voter Theorem

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Author Info
John Duggan ()
Seok-ju Cho () (Dept. of Political Science, Yale University)

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Abstract

We provide game-theoretic foundations for the median voter theorem in a one-dimensional bargaining model based on Baron and Ferejohn’s (1989) model of distributive politics. We prove that, as the agents become arbitrarily patient, the set of proposals that can be passed in any subgame perfect equilibrium collapses to the median voter’s ideal point. While we leave the possibility of some delay, we prove that the agents’ equilibrium continuation payoffs converge to the utility from the median, so that delay, if it occurs, is inconsequential. We do not impose stationarity or any other refinements. Our result counters intuition based on the folk theorem for repeated games, and it contrasts with the known result for the distributive bargaining model that, as agents become patient, any division of the dollar can be supported as a subgame perfect equilibrium outcome.

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Publisher Info
Paper provided by University of Rochester - Wallis Institute of Political Economy in its series Wallis Working Papers with number WP49.

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Length: 34 pages
Date of creation: Nov 2007
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Handle: RePEc:roc:wallis:wp49

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Postal: UNIVERSITY OF ROCHESTER, Wallis Institute, HARKNESS 109B ROCHESTER NEW YORK 14627 U.S.A.

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Harrington, Joseph E, Jr, 1990. " The Role of Risk Preferences in Bargaining When Acceptance of a Proposal Requires Less than Unanimous Approval," Journal of Risk and Uncertainty, Springer, vol. 3(2), pages 135-54, June.
  2. Sutton, John, 1986. "Non-cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Blackwell Publishing, vol. 53(5), pages 709-24, October. [Downloadable!] (restricted)
  3. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  4. Roger Lagunoff & Akihiko Matsui, 1997. "Asynchronous Choice in Repeated Coordination Games," Econometrica, Econometric Society, vol. 65(6), pages 1467-1478, November.
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  5. Eraslan, Hulya, 2002. "Uniqueness of Stationary Equilibrium Payoffs in the Baron-Ferejohn Model," Journal of Economic Theory, Elsevier, vol. 103(1), pages 11-30, March. [Downloadable!] (restricted)
  6. Harrington, Joseph Jr., 1989. "The advantageous nature of risk aversion in a three-player bargaining game where acceptance of a proposal requires a simple majority," Economics Letters, Elsevier, vol. 30(3), pages 195-200, September. [Downloadable!] (restricted)
  7. David M. Primo, 2002. "Rethinking Political Bargaining: Policymaking with a Single Proposer," Journal of Law, Economics and Organization, Oxford University Press, vol. 18(2), pages 411-427, October.
  8. Jeffrey S. Banks & John Duggan & Michel LeBreton, . "Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections," Wallis Working Papers WP14, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
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  9. Dutta Prajit K., 1995. "A Folk Theorem for Stochastic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 1-32, June. [Downloadable!] (restricted)
  10. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-99, March. [Downloadable!] (restricted)
  11. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May. [Downloadable!] (restricted)
  12. Jackson, Matthew O. & Moselle, Boaz, 2002. "Coalition and Party Formation in a Legislative Voting Game," Journal of Economic Theory, Elsevier, vol. 103(1), pages 49-87, March. [Downloadable!] (restricted)
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  13. Eraslan, H. & Merlo, A., 2000. "Majority Rule in a Stochastic Model of Bargaining," Working Papers 00-05, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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  14. Baron David & Kalai Ehud, 1993. "The Simplest Equilibrium of a Majority-Rule Division Game," Journal of Economic Theory, Elsevier, vol. 61(2), pages 290-301, December. [Downloadable!] (restricted)
  15. Cho, Seok-ju & Duggan, John, 2003. "Uniqueness of stationary equilibria in a one-dimensional model of bargaining," Journal of Economic Theory, Elsevier, vol. 113(1), pages 118-130, November. [Downloadable!] (restricted)
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  16. Jim Bergin & John Duggan, 1997. "An Implementation-theoretic Approach to Non-cooperative Foundations," Working Papers 964, Queen's University, Department of Economics. [Downloadable!]
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  17. Banks, Jeffrey S. & Duggan, John, 1999. "A Bargaining Model of Collective Choice," Working Papers 1053, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  18. Harrington, Joseph E, Jr, 1990. " The Power of the Proposal Maker in a Model of Endogenous Agenda Formation," Public Choice, Springer, vol. 64(1), pages 1-20, January.
  19. Duggan, John & Fey, Mark, 2005. "Electoral competition with policy-motivated candidates," Games and Economic Behavior, Elsevier, vol. 51(2), pages 490-522, May. [Downloadable!] (restricted)
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  20. Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. John Duggan & Tasos Kalandrakis, 2007. "Dynamic Legislative Policy Making," Wallis Working Papers WP45, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
  2. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2008. "Non-cooperative Support for the Asymmetric Nash Bargaining solution," Research Memoranda 018, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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