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Bargaining in committees as an extension of Nash's bargaining theory

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  • Laruelle, Annick
  • Valenciano, Federico

Abstract

AbstractThis paper addresses the following issue: if a set of agents bargain on a set of feasible alternatives ‘in the shadow' of a voting rule, that is, any agreement can be enforced if a ‘winning coalition' supports it, what general agreements are likely to arise? In other words: what influence can the voting rule used to settle (possibly nonunanimous) agreements have on the outcome of consensus? We model the situation as an extension of the Nash bargaining problem in which an arbitrary voting rule replaces unanimity. In this setting a natural extension of Nash's solution is characterized.
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  • Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
  • Handle: RePEc:eee:jetheo:v:132:y:2007:i:1:p:291-305
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650.
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    9. Hart, Sergiu, 1985. "An Axiomatization of Harsanyi's Nontransferable Utility Solution," Econometrica, Econometric Society, vol. 53(6), pages 1295-1313, November.
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    15. McLean, Richard P., 2002. "Values of non-transferable utility games," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 55, pages 2077-2120 Elsevier.
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    Cited by:

    1. Di Giannatale, Paolo & Passarelli, Francesco, 2013. "Voting chances instead of voting weights," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 164-173.
    2. Maria Montero & Martin Sefton & Ping Zhang, 2008. "Enlargement and the balance of power: an experimental study," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 69-87, January.
    3. repec:eee:matsoc:v:89:y:2017:i:c:p:10-19 is not listed on IDEAS
    4. Le Breton, Michel & Lepelley, Dominique & Macé, Antonin & Merlin, Vincent, 2016. "Le Mécanisme Optimal de Vote au Sein du Conseil des Représentants d'un Système Fédéral," TSE Working Papers 16-617, Toulouse School of Economics (TSE), revised Dec 2016.
    5. P. Jean-Jacques Herings & A. Predtetchinski, 2016. "Bargaining under monotonicity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 221-243, June.
    6. Laruelle, Annick & Valenciano, Federico, 2008. "Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 63(1), pages 341-353, May.
    7. Britz Volker & Herings Jean-Jacques & Predtetchinski Arkadi, 2010. "Theory of the Firm: Bargaining and Competitive Equilibrium," Research Memorandum 057, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    8. Laruelle, Annick & Valenciano, Federico, 2009. "Cooperative bargaining foundations of the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 65(1), pages 242-255, January.
    9. Herings P. Jean-Jacques & Predtetchinski A., 2011. "Procedurally Fair Income Taxation Schemes," Research Memorandum 035, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    10. Federico Valenciano & Annick Laruelle, 2005. "Bargaining In Committees Of Representatives: The Optimal Voting Rule," Working Papers. Serie AD 2005-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    11. Volker Britz & P. Herings & Arkadi Predtetchinski, 2013. "A bargaining theory of the firm," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 45-75, September.
    12. Ines Lindner, 2008. "The power of a collectivity to act in weighted voting games with many small voters," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(4), pages 581-601, May.
    13. Annick Laruelle & Federico Valenciano, 2010. "Egalitarianism and utilitarianism in committees of representatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 221-243, July.
    14. Le Breton, Michel & Lepelley, Dominique & Macé, Antonin & Merlin, Vincent, 2016. "Le Mécanisme Optimal de Vote au Sein du Conseil des Représentants d'un Système Fédéral," TSE Working Papers 16-617, Toulouse School of Economics (TSE), revised Dec 2016.
    15. Kawamori, Tomohiko, 2014. "A noncooperative foundation of the asymmetric Nash bargaining solution," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 12-15.

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