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Majority Rule Dynamics with Endogenous Status Quo

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Abstract

We analyze a stochastic bargaining game in which a new dollar is divided among committee members in each of an infinity of periods. In each period, a committee member is recognized and offers a proposal for the division of the dollar. The proposal is implemented if it is approved by a majority. If the proposal is rejected, then last period’s allocation is implemented. We show existence of equilibrium in Markovian strategies. It is such that irrespective of the initial status quo, the discount factor, or the probabilities of recognition, the proposer extracts the entire dollar in all periods but the initial two. We also derive a fully strategic version of McKelvey’s (1976), (1979) dictatorial agenda setting, so that a player with exclusive access to the formulation of proposals can extract the entire dollar in all periods except the first. The equilibrium collapses when within period payoffs are sufficiently concave. Winning coalitions may comprise players with high instead of low recognition probabilities, ceteris paribus.

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  • Tasos Kalandrakis, 2007. "Majority Rule Dynamics with Endogenous Status Quo," Wallis Working Papers WP46, University of Rochester - Wallis Institute of Political Economy.
  • Handle: RePEc:roc:wallis:wp46
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Armando Gomes & Philippe Jehiel, 2005. "Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 626-667, June.
    3. Marco Battaglini & Stephen Coate, 2007. "Inefficiency in Legislative Policymaking: A Dynamic Analysis," American Economic Review, American Economic Association, vol. 97(1), pages 118-149, March.
    4. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    5. Banks, Jeffrey S. & Duggan, John, 2006. "A General Bargaining Model of Legislative Policy-making," Quarterly Journal of Political Science, now publishers, vol. 1(1), pages 49-85, January.
    6. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-399, March.
    7. Tasos Kalandrakis, 2006. "Proposal Rights and Political Power," American Journal of Political Science, John Wiley & Sons, vol. 50(2), pages 441-448, April.
    8. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    9. Roger Lagunoff, 2005. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Game Theory and Information 0501003, University Library of Munich, Germany.
    10. Dennis Epple & Michael Riordan, 1987. "Cooperation and punishment under repeated majority voting," Public Choice, Springer, vol. 55(1), pages 41-73, September.
    11. Thomas Romer & Howard Rosenthal, 1978. "Political resource allocation, controlled agendas, and the status quo," Public Choice, Springer, vol. 33(4), pages 27-43, December.
    12. Dutta Prajit K., 1995. "A Folk Theorem for Stochastic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 1-32, June.
    13. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    14. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    15. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
    16. Banks, Jeffrey s. & Duggan, John, 2000. "A Bargaining Model of Collective Choice," American Political Science Review, Cambridge University Press, vol. 94(1), pages 73-88, March.
    17. 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 135-154, June.
    18. 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.
    19. 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.
    20. 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.
    21. 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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    Cited by:

    1. Lagunoff, Roger, 2009. "Dynamic stability and reform of political institutions," Games and Economic Behavior, Elsevier, vol. 67(2), pages 569-583, November.
    2. Tasos Kalandrakis, 2010. "Minimum winning coalitions and endogenous status quo," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 617-643, October.
    3. Pohan Fong, 2008. "Endogenous Limits on Proposal Power," Discussion Papers 1465, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Roger Lagunoff (Georgetown University), 2005. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Working Papers gueconwpa~05-05-07, Georgetown University, Department of Economics.
    5. Bowen, T. Renee & Zahran, Zaki, 2012. "On dynamic compromise," Games and Economic Behavior, Elsevier, vol. 76(2), pages 391-419.
    6. Daniel Diermeier & Georgy Egorov & Konstantin Sonin, 2013. "Endogenous Property Rights," NBER Working Papers 19734, National Bureau of Economic Research, Inc.
    7. Roger Lagunoff, 2004. "The Dynamic Reform of Political Institutions," Econometric Society 2004 Latin American Meetings 47, Econometric Society.
    8. Forand, Jean Guillaume, 2014. "Two-party competition with persistent policies," Journal of Economic Theory, Elsevier, vol. 152(C), pages 64-91.
    9. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    10. Marco Battaglini & Thomas Palfrey, 2012. "The dynamics of distributive politics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(3), pages 739-777, April.
    11. John Duggan & Tasos Kalandrakis, 2011. "A Newton collocation method for solving dynamic bargaining games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 611-650, April.
    12. David Baron & Daniel Diermeier & Pohan Fong, 2012. "A dynamic theory of parliamentary democracy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(3), pages 703-738, April.
    13. Daniel Diermeier & Georgy Egorov & Konstantin Sonin, 2017. "Political Economy of Redistribution," Econometrica, Econometric Society, vol. 85, pages 851-870, May.
    14. Daniel Diermeier & Pohan Fong, 2011. "Legislative Bargaining with Reconsideration," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 947-985.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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