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The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization

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  • Harris, Christopher
  • Reny, Philip
  • Robson, Arthur

Abstract

The starting point of this paper is a simple, regular, dynamic game in which a subgame-perfect equilibrium fails to exist. Examination of this example shows that existence would be restored if players were allowed to observe the output of a public-randomization device. The main result of the paper shows that the introduction of public randomization yields existence not only in the example but also in a large class of dynamic games. It is also argued that the introduction of public randomization is the minimal robust extension of subgame-perfect equilibrium in this class of games. Copyright 1995 by The Econometric Society.

Suggested Citation

  • Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-544, May.
  • Handle: RePEc:ecm:emetrp:v:63:y:1995:i:3:p:507-44
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