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Dominance solvable multicriteria games with incomplete preferences

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Abstract

This paper studies dominance solvability in games with multidimensional payoffs and incomplete preferences. The main result offers a generalization of Moulin’s (Econometrica 47:1337–1351, 1979) classic equilibrium-selection theorem in this more general environment. It is shown, in particular, that a natural extension of Moulin’s dominance solvability concept in this class of “multicriteria” games is an equilibrium refinement. It is further shown that dominance solvability based on the more permissive notion of partially dominated strategies generally fails to be an equilibrium refinement in such games.
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Original languageEnglish
Pages (from-to)165-171
Number of pages7
JournalEconomic Theory Bulletin
Volume7
Issue number2
Early online date8 Nov 2018
DOIs
Publication statusPublished - Dec 2019

    Research areas

  • Dominance solvability, Vector payoffs, Incomplete preferences, Multicriteria games, Equilibrium refinement

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