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Characterizations of the Existence of Nash Equilibria with Non-convex Strategy Sets

Author

Listed:
  • Rabia Nessah

    (IESEG School of Management (LEM-CNRS))

  • Kristiaan Kerstens

    (CNRS-LEM (UMR 8179), IESEG School of Management)

Abstract

A sufficient and necessary condition is presented for the existence of a Nash equilibrium in n-person noncooperative games in normal form where strategy sets are not necessarily convex. Under the convexity condition, we show that this new sufficient and necessary condition is a particular case of diagonal transfer quasiconcavity. The result is illustrated with an application to an economy with multilateral environmental externalities and to the existence of a Cournot equilibrium.

Suggested Citation

  • Rabia Nessah & Kristiaan Kerstens, 2008. "Characterizations of the Existence of Nash Equilibria with Non-convex Strategy Sets," Working Papers 2008-ECO-13, IESEG School of Management.
    • Handle: RePEc:ies:wpaper:e200813
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    References listed on IDEAS

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