A bargaining model for finite n-person multi-criteria games

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A bargaining model for finite n-person multi-criteria games

Author Info

Luisa Monroy () (Universidad de Sevilla)
Amparo M. Mármol () (Universidad de Sevilla)
Victoriana Rubiales () (Universidad de Sevilla)

Abstract

In this paper we consider a multi-criteria game model which allows interactions between players. The problem addressed is considered as a cooperative game in order to achieve consensus solutions which are evaluated with respect to several criteria simultaneously. The main idea consists of analyzing finite multi-criteria n-person games as multi-criteria bargaining games. The notion of Pareto-optimal guaranteed payoffs as a generalization of the maximin values of scalar games is proposed, together with two different solution concepts which can be characterized as the solutions of multi-criteria linear programming problems. A procedure to incorporate additional information about the agents' preferences in order to reach a final consensus is also provided.

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Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2005/21.

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Length: 30 pages
Date of creation: 2005
Date of revision:
Handle: RePEc:cea:doctra:e2005_21

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

This paper has been announced in the following NEP Reports:

NEP-ALL-2005-11-19 (All new papers)
NEP-GTH-2005-11-19 (Game Theory)
NEP-MIC-2005-11-19 (Microeconomics)

References listed on IDEAS
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Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May. [Downloadable!] (restricted)
Zhao, Jingang, 1991. "The Equilibria of a Multiple Object Game," International Journal of Game Theory, Springer, vol. 20(2), pages 171-82.

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