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    A non-robustness in the order structure of the equilibrium set in lattice games

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    Sabarwal_Non-robustness-lattice-games-WP.pdf (282.2Kb)
    Issue Date
    2012-04-18
    Author
    Monaco, Andrew J.
    Sabarwal, Tarun
    Type
    Working Paper
    Published Version
    http://EconPapers.repec.org/RePEc:kan:wpaper:201004
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    Abstract
    The order and lattice structure of the equilibrium set in games with strategic complements do not survive a minimal introduction of strategic substitutes: in a lattice game in which all-but-one players exhibit strategic complements (with one player exhibiting strict strategic complements), and the remaining player exhibits strict strategic substitutes, no two equilibria are comparable. More generally, in a lattice game, if either (1) just one player has strict strategic complements and another player has strict strategic substitutes, or (2) just one player has strict strategic substitutes and has singleton-valued best-responses, then without any restrictions on the strategic interaction among the other players, no two equilibria are comparable. In such cases, the equilibrium set is a non-empty, complete lattice, if, and only if, there is a unique equilibrium. Moreover, in such cases, with linearly ordered strategy spaces, the game has at most one symmetric equilibrium. Several examples are presented.
    Description
    Monaco, Andrew and Sabarwal, Tarun, (2011), A non-robustness in the order structure of the equilibrium set in lattice games, No 201004, WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS, University of Kansas, Department of Economics.
    URI
    http://hdl.handle.net/1808/9070
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    • Economics Scholarly Works [183]

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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