Majority Rule Dynamics with Endogenous Status Quo
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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- Battaglini, Marco & Coate, Stephen, 2005.
"Inefficiency in Legislative Policy-Making: A Dynamic Analysis,"
08-09-2005, Princeton University, Research Program in Political Economy.
- 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.
- Marco Battaglini & Stephen Coate, 2005. "Inefficiency in Legislative Policy-Making: A Dynamic Analysis," NBER Working Papers 11495, National Bureau of Economic Research, Inc.
- Stephen Coate & Marco Battaglini, 2005. "Inefficiency in Legislative Policy-Making: A Dynamic Analysis," 2005 Meeting Papers 209, Society for Economic Dynamics.
- 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.
- 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, 09.
- 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.
- Banks, Jeffrey S. & Duggan, John, 2003. "A bargaining model of legislative policy-making," Working Papers 1162, California Institute of Technology, Division of the Humanities and Social Sciences.
- McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
- Roger Lagunoff (Georgetown University), 2005.
"Markov Equilibrium in Models of Dynamic Endogenous Political Institutions,"
gueconwpa~05-05-07, Georgetown University, Department of Economics.
- Roger Lagunoff, 2005. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Game Theory and Information 0501003, EconWPA.
- Roger Lagunoff, 2007. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Levine's Bibliography 122247000000000876, UCLA Department of Economics.
- Tasos Kalandrakis, 2004. "Proposal Rights and Political Power," Wallis Working Papers WP38, University of Rochester - Wallis Institute of Political Economy.
- Armo Gomes & Philippe Jehiel, 2001.
"Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies,"
Penn CARESS Working Papers
76ff153ae29996d16c454e473, Penn Economics Department.
- 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.
- Gomes, Armando R & Jehiel, Philippe, 2001. "Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies," CEPR Discussion Papers 3012, C.E.P.R. Discussion Papers.
- Eric Maskin & Jean Tirole, 1997.
"Markov Perfect Equilibrium, I: Observable Actions,"
Harvard Institute of Economic Research Working Papers
1799, Harvard - Institute of Economic Research.
- Duggan, John & Kalandrakis, Tasos, 2012.
"Dynamic legislative policy making,"
Journal of Economic Theory,
Elsevier, vol. 147(5), pages 1653-1688.
- 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.
- Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
- 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.
- 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.
- Ariel Rubinstein, 2010.
"Perfect Equilibrium in a Bargaining Model,"
Levine's Working Paper Archive
661465000000000387, David K. Levine.
- Dennis Epple & Michael Riordan, 1987. "Cooperation and punishment under repeated majority voting," Public Choice, Springer, vol. 55(1), pages 41-73, September.
- Dutta Prajit K., 1995. "A Folk Theorem for Stochastic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 1-32, June.
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