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Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index

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  • Laruelle, Annick
  • Valenciano, Federico

Abstract

In this paper we explore the noncooperative foundations of the bargaining power that a voting rule gives to each member of a committee that bargains in search of consensus over a set of feasible agreements under a voting rule. Assuming complete information, we model a variety of bargaining protocols and investigate their stationary subgame perfect equilibria. We show how the Shapley-Shubik index and other power indices can be interpreted as measures of 'bargaining power' that appear in this light as limit cases.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 63 (2008)
Issue (Month): 1 (May)
Pages: 341-353

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Handle: RePEc:eee:gamebe:v:63:y:2008:i:1:p:341-353

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Web page: http://www.elsevier.com/locate/inca/622836

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Cited by:
  1. Di Giannatale, Paolo & Passarelli, Francesco, 2012. "Voting chances instead of voting weights," MPRA Paper 43059, University Library of Munich, Germany.
  2. Herings P. Jean-Jacques & Predtetchinski Arkadi, 2010. "On the Asymptotic Uniqueness of Bargaining Equilibria," Research Memorandum 010, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. Okada, Akira, 2007. "Coalitional Bargaining Games with Random Proposers: Theory and Application," Discussion Papers 2007-10, Graduate School of Economics, Hitotsubashi University.
  4. Masanori Mitsutsune & Takanori Adachi, 2011. "Estimating Noncooperative and Cooperative Models of Bargaining: An Empirical Comparison," KIER Working Papers 799, Kyoto University, Institute of Economic Research.
  5. Herings P. Jean-Jacques & Britz Volker & Predtetchinski Arkadi, 2012. "On the Convergence to Nash Bargaining Solution for Endogenous Bargaining Protocols," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  6. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2014. "On the convergence to the Nash bargaining solution for action-dependent bargaining protocols," Games and Economic Behavior, Elsevier, vol. 86(C), pages 178-183.
  7. Harold Houba & Gerard van der Laan & Yuyu Zeng, 2013. "Asymmetric Nash Solutions in the River Sharing Problem," Tinbergen Institute Discussion Papers 13-051/II, Tinbergen Institute.
  8. 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.
  9. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2008. "Non-cooperative Support for the Asymmetric Nash Bargaining solution," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  10. Anbarci, Nejat & Sun, Ching-jen, 2013. "Asymmetric Nash bargaining solutions: A simple Nash program," Economics Letters, Elsevier, vol. 120(2), pages 211-214.
  11. Thorsten Upmann & Julia M�ller, 2013. "The Structure of Firm-Specific Labour Unions," Tinbergen Institute Discussion Papers 13-080/I, Tinbergen Institute.
  12. 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.
  13. Widgrén, Mika, 2008. "The Impact of Council Voting Rules on EU Decision-Making," Discussion Papers 1162, The Research Institute of the Finnish Economy.

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