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Reducible equilibrium properties: comments on recent existence results

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  • Guilherme Carmona

    (University of Surrey)

Abstract

We show that each of the properties of equilibrium problems considered in several recent Nash equilibrium existence results satisfy the following condition: All the existence problems that satisfy the property on a compact subset $$K$$ K of a fixed strategy space have, on $$K$$ K , an equilibrium set that contains the equilibrium set of an existence problem that is well behaved on $$K$$ K . The properties that satisfy this condition are called reducible equilibrium properties. This notion is used to clarify recent existence results and the relationship of some of the properties considered in those results.

Suggested Citation

  • Guilherme Carmona, 2016. "Reducible equilibrium properties: comments on recent existence results," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 431-455, March.
    • Handle: RePEc:spr:joecth:v:61:y:2016:i:3:d:10.1007_s00199-014-0842-y
    DOI: 10.1007/s00199-014-0842-y
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    Cited by:

    1. Rabia Nessah, 2022. "Weakly continuous security and nash equilibrium," Theory and Decision, Springer, vol. 93(4), pages 725-745, November.
    2. Prokopovych, Pavlo & Yannelis, Nicholas C., 2017. "On strategic complementarities in discontinuous games with totally ordered strategies," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 147-153.
    3. Wei He & Nicholas C. Yannelis, 2017. "A remark on discontinuous games with asymmetric information and ambiguity," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 119-126, April.

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    More about this item

    Keywords

    Nash equilibrium; Discontinuous games; Properties;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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