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A Refinement Concept For Equilibria In Multicriteria Games Via Stable Scalarizations


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    (Dipartimento di Statistica e Matematica, per la Ricerca Economica, Università di Napoli "Parthenope", via Medina 40, 80133 Napoli, Italy)


    (Dipartimento di Matematica e Statistica, Università di Napoli Federico II via Cinthia, 80126, Napoli, Italy)


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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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 09 (2007)
Issue (Month): 02 ()
Pages: 169-181

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Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:02:p:169-181

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Keywords: Multicriteria game; Pareto Nash equilibrium; refinement; perturbation; scalarization-stable equilibrium;

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Cited by:
  1. Giuseppe De Marco & Jacqueline Morgan, 2009. "Kalai-Smorodinsky Bargaining Solution Equilibria," CSEF Working Papers 235, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  2. Giuseppe De Marco & Jacqueline Morgan, 2009. "On Multicriteria Games with Uncountable Sets of Equilibria," CSEF Working Papers 242, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.


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