Journal
INTERNATIONAL GAME THEORY REVIEW
Volume 9, Issue 2, Pages 169-181Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219198907001345
Keywords
Multicriteria game; Pareto Nash equilibrium; refinement; perturbation; scalarization-stable equilibrium
Categories
Funding
- GNAMPA 2005 project on: Vector and/or dynamic approaches to quasi-variational problems: theory, methods and applications
- European Community's Human Potential Program [HPRNCT-200200281]
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In a finite multicriteria game, one or more systems of weights might be implicitly used by the agents by playing a Nash equilibrium of the corresponding trade- off scalar games. In this paper, we present a refinement concept for equilibria in finite multicriteria games, called scalarization-stable equilibrium, that selects equilibria stable with respect to perturbations on the scalarization. An existence theorem is provided together with some illustrative examples and connections with some other refinement concepts are investigated.
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