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On strategic complementarities in discontinuous games with totally ordered strategies

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  • Prokopovych, Pavlo
  • Yannelis, Nicholas C.

Abstract

This paper studies the existence of a pure strategy Nash equilibrium in games with strategic complementarities where the strategy sets are totally ordered. By relaxing the conventional conditions related to upper semicontinuity and single crossing, we enlarge the class of games to which monotone techniques are applicable. The results are illustrated with a number of economics-related examples.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:mateco:v:70:y:2017:i:c:p:147-153
    DOI: 10.1016/j.jmateco.2017.02.007
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    Cited by:

    1. repec:eee:gamebe:v:109:y:2018:i:c:p:99-103 is not listed on IDEAS
    2. Kukushkin, Nikolai S., 2018. "Better response dynamics and Nash equilibrium in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 68-78.
    3. repec:eee:jetheo:v:172:y:2017:i:c:p:220-246 is not listed on IDEAS
    4. Amir, Rabah & Evstigneev, Igor V., 2018. "A new look at the classical Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 109(C), pages 99-103.
    5. repec:ebl:ecbull:eb-18-00095 is not listed on IDEAS
    6. Nikolai S. Kukushkin & Pierre von Mouche, 2018. "Cournot tatonnement and Nash equilibrium in binary status games," Economics Bulletin, AccessEcon, vol. 38(2), pages 1038-1044.

    More about this item

    Keywords

    Discontinuous game; Strategic complementarities; Better-reply security; Directional transfer single crossing; Increasing correspondence;

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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