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Perfect equilibrium points and lexicographic domination (Q1111952)

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scientific article; zbMATH DE number 4077000
Language Label Description Also known as
English
Perfect equilibrium points and lexicographic domination
scientific article; zbMATH DE number 4077000

    Statements

    title
    Perfect equilibrium points and lexicographic domination (English)
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    author
    S. H. Smith
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    publication date
    1988
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    review text
    \textit{R. Selten}'s concept of ``perfect equilibrium'' [Int. J. Game Theory 4, 25-55 (1975; Zbl 0312.90072)] is compared with the author's new concept of ``lexicographic undominated'' mixed strategy for non- cooperative games in normal form. It is shown that, in general, perfect equilibria are lexicographically undominated, but the converse is not always true. A local characterization of lexicographically undominated Nash equilibria is also given.
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    zbMATH Keywords
    lexicographic undominated mixed strategy
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    non-cooperative games
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    normal form
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    perfect equilibria
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    Nash equilibria
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    reviewed by
    Dan Butnariu
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    Identifiers

    DOI
    10.1007/BF01242865
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    zbMATH DE Number
    4077000
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    OpenAlex ID
    W2093191623
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