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Bargaining, Voting, And Value

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Author Info
Federico Valenciano () (Universidad del País Vasco)
Annick Laruelle (Universidad de Alicante)

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Abstract

This 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 non-unanimous) agreements have on the outcome of negotiations? To give an answer we model the situation as an extension of the Nash bargaining problem in which an arbitrary voting rule replaces unanimity to settle agreements by n players. This provides a setting in which a natural extension of Nash's solution is obtained axiomatically. Two extensions admitting randomization on voting rules based on two informational scenarios are considered.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2004-17.pdf
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File Function: Fisrt version / Primera version, 2004
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Publisher Info
Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2004-17.

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Length: 23 pages
Date of creation: Apr 2004
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2004-17

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Keywords: Bargaining; voting; value; bargaining in committees.;

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References listed on IDEAS
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  1. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March. [Downloadable!] (restricted)
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  2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  3. Kalai, Ehud & Samet, Dov, 1985. "Monotonic Solutions to General Cooperative Games," Econometrica, Econometric Society, vol. 53(2), pages 307-27, March. [Downloadable!] (restricted)
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  4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  5. Valenciano Federico & Zarzuelo Jose M., 1994. "On the Interpretation of Nonsymmetric Bargaining Solutions and Their Extension to Nonexpected Utility Preferences," Games and Economic Behavior, Elsevier, vol. 7(3), pages 461-472, November. [Downloadable!] (restricted)
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