Existence of Generalised Pareto Equilibria for Constrained Multiobjective Games

Cubiotti, Paolo

doi:10.1142/s021919890000024x

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2009

2013

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Cited by 3 publications

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“…The first publication on multi-criteria normal form games was Blackwell (1956) and different formulations of multi-criteria games have since been introduced, (Zeleny (1976), Bergstresser an Yu (1977), Li(1998), Cubiotti (2000)). …”

Section: Introductionmentioning

confidence: 99%

A Bargaining Model for Finite N-Person Multi-Criteria Games

Mármol

Caballero

2009

Int. Game Theory Rev.

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In this paper a multi-criteria game model, which allows interactions between players, is studied. 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 a solution concept which can be characterized as the solutions of multi-criteria linear programming problems. A procedure to incorporate additional information about the players' preferences in order to reach a final consensus is also provided.

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