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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. 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.
  2. 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.
  3. 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.
  4. Huibin Yan, 2003. "Noncooperative selection of the core," International Journal of Game Theory, Springer, vol. 31(4), pages 527-540, 09.
  5. 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.
  6. Yves Breitmoser, 2011. "Parliamentary bargaining with priority recognition for committee members," Social Choice and Welfare, Springer, vol. 37(1), pages 149-169, June.
  7. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  8. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
  9. 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.
  10. Battaglini, Marco & Coate, Stephen, 2005. "Inefficiency in Legislative Policy-Making: A Dynamic Analysis," Papers 08-09-2005, Princeton University, Research Program in Political Economy.
  11. Norman, Peter, 2002. "Legislative Bargaining and Coalition Formation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 322-353, February.
  12. 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.
  13. Battaglini, Marco & Coate, Stephen, 2007. "A Dynamic Theory of Public Spending, Taxation and Debt," Working Papers 07-04, Cornell University, Center for Analytic Economics.
  14. Eraslan, H. & Merlo, A., 2000. "Majority Rule in a Stochastic Model of Bargaining," Working Papers 00-05, C.V. Starr Center for Applied Economics, New York University.
  15. McKelvey, Richard D. & McLennan, Andrew, 1997. "The Maximal Number of Regular Totally Mixed Nash Equilibria," Journal of Economic Theory, Elsevier, vol. 72(2), pages 411-425, February.
  16. Brian Knight, 2005. "Estimating the Value of Proposal Power," American Economic Review, American Economic Association, vol. 95(5), pages 1639-1652, December.
  17. Daniel Diermeier & Hulya Eraslan & Antonio Merlo, 2003. "A Structural Model of Government Formation," Econometrica, Econometric Society, vol. 71(1), pages 27-70, January.
  18. Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-53, September.
  19. Yasutora Watanabe & Takanori Adachi, 2004. "Ministerial Weights and Government Formation: Estimation Using a Bargaining Model," Econometric Society 2004 Far Eastern Meetings 742, Econometric Society.
  20. Rausser, Gordon C. & Simon, Leo K., 1992. "A Noncooperative Model of Collective Decision Making: A Multilateral Bargaining Approach," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt1p67k0dp, Department of Agricultural & Resource Economics, UC Berkeley.
  21. Drouvelis, Michalis & Montero, Maria & Sefton, Martin, 2010. "Gaining power through enlargement: Strategic foundations and experimental evidence," Games and Economic Behavior, Elsevier, vol. 69(2), pages 274-292, July.
  22. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, July.
  23. Persson, Torsten & Roland, Gérard & Tabellini, Guido, 1997. "Comparative Politics and Public Finance," CEPR Discussion Papers 1737, C.E.P.R. Discussion Papers.
  24. Persson, Torsten, 1998. "Economic Policy and Special Interest Politics," Economic Journal, Royal Economic Society, vol. 108(447), pages 310-27, March.
  25. Predtetchinski, Arkadi, 2011. "One-dimensional bargaining," Games and Economic Behavior, Elsevier, vol. 72(2), pages 526-543, June.
  26. 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.
  27. Jackson, Matthew O. & Moselle, Boaz, 1998. "Coalition and Party Formation in a Legislative Voting Game," Working Papers 1036, California Institute of Technology, Division of the Humanities and Social Sciences.
  28. Bennedsen, Morten & Feldmann, Sven E., 2000. "Lobbying Legislatures," Working Papers 07-2000, Copenhagen Business School, Department of Economics.
  29. Cardona, Daniel & Ponsati, Clara, 2007. "Bargaining one-dimensional social choices," Journal of Economic Theory, Elsevier, vol. 137(1), pages 627-651, November.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. Daniel Diermeier & Antoni Merlo, 1999. "An Empirical Investigation of Coalitional Bargaining Procedures," Discussion Papers 1267, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  35. Michel Le Breton & Maria Montero & Vera Zaporozhets, 2011. "Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics," Discussion Papers 2011-03, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  36. repec:oup:restud:v:60:y:1993:i:2:p:463-77 is not listed on IDEAS
  37. McLennan, A., 1994. "The Maximal Generic Number of Pure Nash Equilibria," Papers 273, Minnesota - Center for Economic Research.
  38. Hans Haller & Roger Lagunoff, 2006. "Markov Perfect Equilibria in Repeated Asynchronous Choice Games," Levine's Bibliography 321307000000000560, UCLA Department of Economics.
  39. 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.
  40. Tasos Kalandrakis, 2004. "Regularity of Pure Strategy Equilibrium Points in a Class of Bargaining Games," Wallis Working Papers WP37, University of Rochester - Wallis Institute of Political Economy.
  41. Tasos Kalandrakis, 2004. "Proposal Rights and Political Power," Wallis Working Papers WP38, University of Rochester - Wallis Institute of Political Economy.
  42. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, July.
  43. Okada, Akira, 2011. "Coalitional bargaining games with random proposers: Theory and application," Games and Economic Behavior, Elsevier, vol. 73(1), pages 227-235, September.
  44. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
  45. 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.
  46. C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, vol. 11(7), pages 681-689, May.
  47. 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.
  48. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  49. Hans Haller & Roger Lagunoff, 2000. "Genericity and Markovian Behavior in Stochastic Games," Econometrica, Econometric Society, vol. 68(5), pages 1231-1248, September.
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