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Bargaining over an endogenous agenda

  • Anesi, Vincent

    ()

    (School of Economics, University of Nottingham)

  • Seidmann, Daniel J.

    ()

    (School of Economics, University of Nottingham)

We present a model of bargaining in which a committee searches over the policy space, successively amending the default by voting over proposals. Bargaining ends when proposers are unable or unwilling to amend the existing default, which is then implemented. Our main goal is to study the policies which can be implemented from any initial default in a pure strategy stationary Markov perfect equilibrium for an interesting class of environments including multi-dimensional and infinite policy spaces. It is convenient to start by characterizing the set of immovable policies: which are implemented, once reached as default. These policies form a weakly stable set; and conversely, any weakly stable set is supported by some equilibrium. Using these results, we show that minimum-winning coalitions may not form, and that a player who does not propose may nevertheless earn all of the surplus from agreement. We then consider how equilibrium outcomes change as we vary the order in which players propose, the identity of proposers, and the set of winning coalitions. First, if the policy space is well ordered then the committee implements the ideal policy of the last proposer in a subset of a weakly stable set; but this result does not generalize to other cases. We also show, surprisingly, that a player may prefer not to be given the opportunity to propose; and that the set of immovable policies may shrink as the quota increases. Finally, we derive conditions under which immovable policies in semi-Markovian equilibria form a consistent choice set.

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Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 9 (2014)
Issue (Month): 2 (May)
Pages:

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Handle: RePEc:the:publsh:1318
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  2. Battaglini, Marco & Nunnari, Salvatore & Palfrey, Thomas, 2011. "Legislative bargaining and the dynamics of public investment," Discussion Papers, Research Unit: Market Behavior SP II 2011-205, Social Science Research Center Berlin (WZB).
  3. Vincent Anesi, 2006. "Committees with Farsighted Voters: A New Interpretation of Stable Sets," Social Choice and Welfare, Springer, vol. 27(3), pages 595-610, December.
  4. Lucas, William F., 1992. "Von Neumann-Morgenstern stable sets," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 17, pages 543-590 Elsevier.
  5. John Duggan & Tasos Kalandrakis, 2007. "Dynamic Legislative Policy Making," Wallis Working Papers WP45, University of Rochester - Wallis Institute of Political Economy.
  6. John Duggan & Tasos Kalandrakis, 2009. "A Newton Collocation Method for Solving Dynamic Bargaining Games," Wallis Working Papers WP60, University of Rochester - Wallis Institute of Political Economy.
  7. Vartiainen, Hannu, 2011. "Dynamic coalitional equilibrium," Journal of Economic Theory, Elsevier, vol. 146(2), pages 672-698, March.
  8. Vincent Anesi & Daniel J. Seidmann, 2011. "Bargaining over an Endogenous Agenda," Discussion Papers 2011-10, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  9. Vincent Anesi, 2010. "A New Old Solution for Weak Tournaments," Discussion Papers 2010-04, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  10. Vincent Anesi, 2009. "Noncooperative Foundations of Stable Sets in Voting Games," RCER Working Papers 551, University of Rochester - Center for Economic Research (RCER).
  11. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  12. Vincent Anesi & Daniel J Seidmann, 2012. "Bargaining in Standing Committees," Discussion Papers 2012-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  13. Diermeier, Daniel & Fong, Pohan, 2012. "Characterization of the von Neumann–Morgenstern stable set in a non-cooperative model of dynamic policy-making with a persistent agenda setter," Games and Economic Behavior, Elsevier, vol. 76(1), pages 349-353.
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  17. Philippe Jehiel & Oliver Compte, 2007. "Bargaining and Majority Rules: A Collective Search Perspective," Levine's Bibliography 843644000000000131, UCLA Department of Economics.
  18. Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2012. "Dynamics and Stability of Constitutions, Coalitions, and Clubs," American Economic Review, American Economic Association, vol. 102(4), pages 1446-76, June.
  19. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
  20. Hortala-Vallve, Rafael, 2011. "Generous Legislators? A Description of Vote Trading Agreements," Quarterly Journal of Political Science, now publishers, vol. 6(2), pages 179-196, September.
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  23. Larcker, David F. & Ormazabal, Gaizka & Taylor, Daniel J., 2011. "The market reaction to corporate governance regulation," Journal of Financial Economics, Elsevier, vol. 101(2), pages 431-448, August.
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