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A Solution Concept for Majority Rule in Dynamic Settings

Author

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  • B. D. Bernheim
  • S. N. Slavov
Abstract
We define and explore the notion of a Dynamic Condorcet Winner (DCW), which extends the notion of a Condorcet winner to dynamic settings. We show that, for every DCW, every member of a large class of dynamic majoritarian games has an equivalent equilibrium, and that other equilibria are not similarly portable across this class of games. Existence of DCWs is guaranteed when members of the community are sufficiently patient. We characterize sustainable and unsustainable outcomes, study the effects of changes in the discount factor, investigate efficiency properties, and explore the potential for achieving renegotiation-proof outcomes. We apply this solution concept to a standard one-dimensional choice problem wherein agents have single-peaked preferences, as well as to one involving the division of a fixed aggregate pay-off. Copyright , Wiley-Blackwell.

Suggested Citation

  • B. D. Bernheim & S. N. Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 33-62.
    • Handle: RePEc:oup:restud:v:76:y:2009:i:1:p:33-62
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    File URL: http://hdl.handle.net/10.1111/j.1467-937X.2008.00520.x
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    1. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    2. Leon A Petrosyan & Nikolay A Zenkevich, 2016. "Game Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9824, August.
    3. John Duggan & Mark Fey, 2006. "Repeated Downsian electoral competition," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(1), pages 39-69, December.
    4. Alberto Alesina & Dani Rodrik, 1994. "Distributive Politics and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 465-490.
    5. Timothy Besley & Stephen Coate, 1997. "An Economic Model of Representative Democracy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 85-114.
    6. Dennis Epple & Michael Riordan, 1987. "Cooperation and punishment under repeated majority voting," Public Choice, Springer, vol. 55(1), pages 41-73, September.
    7. Norman Schofield, 1983. "Generic Instability of Majority Rule," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 695-705.
    8. Banks, Jeffrey S., 1995. "Singularity theory and core existence in the spatial model," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 523-536.
    9. Kevin Roberts, 2007. "Condorcet cycles? A model of intertemporal voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(3), pages 383-404, October.
    10. Jose-Victor Rios-Rull & Per Krusell, 1999. "On the Size of U.S. Government: Political Economy in the Neoclassical Growth Model," American Economic Review, American Economic Association, vol. 89(5), pages 1156-1181, December.
    11. Antonio Rangel, 2003. "Forward and Backward Intergenerational Goods: Why Is Social Security Good for the Environment?," American Economic Review, American Economic Association, vol. 93(3), pages 813-834, June.
    12. Persson, Torsten & Tabellini, Guido, 1994. "Is Inequality Harmful for Growth?," American Economic Review, American Economic Association, vol. 84(3), pages 600-621, June.
    13. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    14. Slavov Sita Nataraj, 2006. "Age Bias in Fiscal Policy: Why Does the Political Process Favor the Elderly?," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-39, October.
    15. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    16. Glomm, Gerhard & Ravikumar, B, 1992. "Public versus Private Investment in Human Capital Endogenous Growth and Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 818-834, August.
    17. Baron, David P & Ferejohn, John, 1987. "Bargaining and Agenda Formation in Legislatures," American Economic Review, American Economic Association, vol. 77(2), pages 303-309, May.
    18. Jeffrey Banks & John Duggan, 2006. "A Social Choice Lemma on Voting Over Lotteries with Applications to a Class of Dynamic Games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 285-304, April.
    19. John E. Roemer, 1999. "The Democratic Political Economy of Progressive Income Taxation," Econometrica, Econometric Society, vol. 67(1), pages 1-20, January.
    20. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
    21. Roberto Perotti, 1993. "Political Equilibrium, Income Distribution, and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 755-776.
    22. Per Krusell & José-Víctor Ríos-Rull, 1996. "Vested Interests in a Positive Theory of Stagnation and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(2), pages 301-329.
    23. Jerzy A. Filar & Leon A. Petrosjan, 2000. "Dynamic Cooperative Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 47-65.
    24. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    25. Rubinstein, Ariel, 1979. "A Note about the "Nowhere Denseness" of Societies Having an Equilibrium under Majority Rule," Econometrica, Econometric Society, vol. 47(2), pages 511-514, March.
    26. Norman Schofield, 1978. "Instability of Simple Dynamic Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 575-594.
    27. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
    28. Sita Nataraj Slavov, 2014. "Public Versus Private Provision of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(2), pages 222-258, April.
    29. B. Douglas Bernheim & Antonio Rangel & Luis Rayo, 2006. "The Power of the Last Word in Legislative Policy Making," Econometrica, Econometric Society, vol. 74(5), pages 1161-1190, September.
    30. Baron, David P., 1996. "A Dynamic Theory of Collective Goods Programs," American Political Science Review, Cambridge University Press, vol. 90(2), pages 316-330, June.
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    • C00 - Mathematical and Quantitative Methods - - General - - - General

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