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A Note on the Equilibrium Existence Problem in Discontinuous Games

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  • Paulo Barelli
  • Idione Meneghel

Abstract

In this note we prove an equilibrium existence theorem for games with discontinuous pay- offs and convex and compact strategy spaces. It generalizes the classical result of Reny (1999) [Econometrica 67, p. 1029-1056], as well as the recent paper of McLennan, Monteiro, and Tourky (2011) [Econometrica 79, p. 1643-1664]. Our condition is simple and easy to verify. Importantly, an example of a spatial location model shows that our conditions allow for eco- nomically meaningful payoff discontinuities, that are not covered by other conditions in the literature.
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Suggested Citation

  • Paulo Barelli & Idione Meneghel, 2013. "A Note on the Equilibrium Existence Problem in Discontinuous Games," Econometrica, Econometric Society, vol. 81(2), pages 813-824, March.
    • Handle: RePEc:ecm:emetrp:v:81:y:2013:i:2:p:813-824
    DOI: ECTA9125
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