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A Refinement Concept For Equilibria In Multicriteria Games Via Stable Scalarizations

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Author Info
GIUSEPPE DE MARCO () (Dipartimento di Statistica e Matematica, per la Ricerca Economica, Università di Napoli "Parthenope", via Medina 40, 80133 Napoli, Italy)
JACQUELINE MORGAN () (Dipartimento di Matematica e Statistica, Università di Napoli Federico II via Cinthia, 80126, Napoli, Italy)

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Abstract

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

Find related papers by JEL classification:
B4 - Schools of Economic Thought and Methodology - - Economic Methodology
C0 - Mathematical and Quantitative Methods - - General
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D7 - Microeconomics - - Analysis of Collective Decision-Making
M2 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics

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