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Uniqueness of Stationary Equilibrium Payoffs in Coalitional Bargaining

  • Andrew McLennan
  • Hülya Eraslan

We study a model of sequential bargaining in which, in each period before an agreement is reached, the proposer’s identity (and whether there is a proposer) are randomly determined; the proposer suggests a division of a pie of size one; each other agent either approves or rejects the proposal; and the proposal is implemented if the set of approving agents is a winning coalition for the proposer. The theory of the fixed point index is used to show that stationary equilibrium expected payoffs of this coalitional bargaining game are unique. This generalizes Eraslan (2002) insofar as: (a) there are no restrictions on the structure of sets of winning coalitions; (b) different proposers may have different sets of winning coalitions; (c) there may be a positive probability that no proposer is selected.

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Paper provided by The Johns Hopkins University,Department of Economics in its series Economics Working Paper Archive with number 562.

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Date of creation: Feb 2010
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Handle: RePEc:jhu:papers:562
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  1. 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.
  2. Maria Montero, 2007. "The Paradox of New Members in the Council of Ministers: A Noncooperative Approach," Discussion Papers 2007-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  3. Persson, Torsten & Roland, Gérard & Tabellini, Guido, 1997. "Comparative Politics and Public Finance," CEPR Discussion Papers 1737, C.E.P.R. Discussion Papers.
  4. Rausser, Gordon C. & Simon, L., 1990. "Noncooperative Model of Collective Decision Making: A Multilateral Bargaining Approach," Staff General Research Papers 819, Iowa State University, Department of Economics.
  5. Roger Lagunoff & Hans Haller, 1997. "Markov Perfect Equilibria in Repeated Asynchronous Choice Games," Game Theory and Information 9707006, EconWPA.
  6. Michalis Drouvelis & Maria Montero & Martin Sefton, . "Gaining Power through Enlargement: Strategic Foundations and Experimental Evidence," Discussion Papers 09/30, Department of Economics, University of York.
  7. 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.
  8. 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.
  9. Predtetchinski, Arkadi, 2011. "One-dimensional bargaining," Games and Economic Behavior, Elsevier, vol. 72(2), pages 526-543, June.
  10. Battaglini, Marco & Coate, Stephen, 2007. "A Dynamic Theory of Public Spending, Taxation and Debt," Working Papers 07-04, Cornell University, Center for Analytic Economics.
  11. Morten Bennedsen & Sven E. Feldmann, 2002. "Lobbying Legislatures," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 919-948, August.
  12. Yasutora Watanabe, 2008. "Ministerial Weights and Government Formation: Estimation Using a Bargaining Model," Journal of Law, Economics and Organization, Oxford University Press, vol. 24(1), pages 95-119, May.
  13. Eraslan, Hulya & Merlo, Antonio, 2002. "Majority Rule in a Stochastic Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 103(1), pages 31-48, March.
  14. McKelvey, Richard D. & McLennan, Andrew, 1994. "The Maximal Number of Regular Totally Mixed Nash Equilibria," Working Papers 865, California Institute of Technology, Division of the Humanities and Social Sciences.
  15. Battaglini, Marco & Coate, Stephen, 2005. "Inefficiency in Legislative Policy-Making: A Dynamic Analysis," Papers 08-09-2005, Princeton University, Research Program in Political Economy.
  16. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
  17. Persson, Torsten, 1998. "Economic Policy and Special Interest Politics," Economic Journal, Royal Economic Society, vol. 108(447), pages 310-27, March.
  18. Hans Haller & Roger Lagunoff, 1999. "Genericity and Markovian Behavior in Stochastic Games," Game Theory and Information 9901003, EconWPA, revised 03 Jun 1999.
  19. Diermeier, Daniel & Merlo, Antonio, 2004. "An empirical investigation of coalitional bargaining procedures," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 783-797, March.
  20. Okada, Akira, 2007. "Coalitional Bargaining Games with Random Proposers: Theory and Application," Discussion Papers 2007-10, Graduate School of Economics, Hitotsubashi University.
  21. Maria Montero, 2010. "Bargaining in Legislatures: A New Donation Paradox," Discussion Papers 2010-19, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  22. V. V. Chari & Larry E. Jones & Ramon Marimon, 1997. "The economics of split-ticket voting in representative democracies," Working Papers 582, Federal Reserve Bank of Minneapolis.
  23. Tasos Kalandrakis, 2006. "Regularity of pure strategy equilibrium points in a class of bargaining games," Economic Theory, Springer, vol. 28(2), pages 309-329, 06.
  24. 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.
  25. Norman, Peter, 2002. "Legislative Bargaining and Coalition Formation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 322-353, February.
  26. Tsung‐Sheng Tsai & C. C. Yang, 2010. "On Majoritarian Bargaining With Incomplete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(4), pages 959-979, November.
  27. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, March.
  28. Tomohiko Kawamori, 2013. "Rejecter-proposer legislative bargaining with heterogeneous time and risk preferences," Social Choice and Welfare, Springer, vol. 40(1), pages 27-40, January.
  29. McLennan, A., 1994. "The Maximal Generic Number of Pure Nash Equilibria," Papers 273, Minnesota - Center for Economic Research.
  30. Tasos Kalandrakis, 2004. "Proposal Rights and Political Power," Wallis Working Papers WP38, University of Rochester - Wallis Institute of Political Economy.
  31. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2010. "One-dimensional bargaining with Markov recognition probabilities," Journal of Economic Theory, Elsevier, vol. 145(1), pages 189-215, January.
  32. Seok-ju Cho & John Duggan, 2001. "Uniqueness of Stationary Equilibria in a one-Dimensional Model of Bargaining," Wallis Working Papers WP23, University of Rochester - Wallis Institute of Political Economy.
  33. Daniel Diermeier & Hulya Eraslan & Antonio Merlo, 2003. "A Structural Model of Government Formation," Econometrica, Econometric Society, vol. 71(1), pages 27-70, January.
  34. Ali, S. Nageeb M., 2006. "Waiting to settle: Multilateral bargaining with subjective biases," Journal of Economic Theory, Elsevier, vol. 130(1), pages 109-137, September.
  35. C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, vol. 11(7), pages 681-689, May.
  36. Huibin Yan, 2009. "Uniqueness In Random-Proposer Multilateral Bargaining," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 407-417.
  37. Toshiji Miyakawa, 2009. "Existence and efficiency of a stationary subgame-perfect equilibrium in coalitional bargaining models with nonsuperadditive payoffs," Economic Theory, Springer, vol. 39(2), pages 291-306, May.
  38. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, March.
  39. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
  40. Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-53, September.
  41. R J Johnston, 1978. "On the measurement of power: some reactions to Laver," Environment and Planning A, Pion Ltd, London, vol. 10(8), pages 907-914, August.
  42. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  43. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  44. Cardona, Daniel & Ponsati, Clara, 2007. "Bargaining one-dimensional social choices," Journal of Economic Theory, Elsevier, vol. 137(1), pages 627-651, November.
  45. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  46. Yves Breitmoser, 2011. "Parliamentary bargaining with priority recognition for committee members," Social Choice and Welfare, Springer, vol. 37(1), pages 149-169, June.
  47. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
  48. Brian Knight, 2005. "Estimating the Value of Proposal Power," American Economic Review, American Economic Association, vol. 95(5), pages 1639-1652, December.
  49. Huibin Yan, 2003. "Noncooperative selection of the core," International Journal of Game Theory, Springer, vol. 31(4), pages 527-540, 09.
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