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Games with Discontinuous Payoffs

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  • Leo K. Simon

Abstract

We prove an equilibrium existence result for a class of games with an infinite number of strategies. Our theorem generalises an earlier result by Dasgupta and Maskin. We also identify conditions under which the limit of pure-strategy equilibria of a sequence of finite games is an equilibrium for the limit game. We apply this result to obtain new existence results for the multi-firm, l-dimensional version of Hotellings's location game. The techniques used suggest a technique for computing such equilibria.

Suggested Citation

  • Leo K. Simon, 1987. "Games with Discontinuous Payoffs," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 569-597.
  • Handle: RePEc:oup:restud:v:54:y:1987:i:4:p:569-597.
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    File URL: http://hdl.handle.net/10.2307/2297483
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