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Independence of inadmissible strategies and best reply stability: a direct proof

Author

Listed:
  • John Hillas
  • Mathijs Jansen
  • Jos Potters
  • Dries Vermeulen

Abstract

Hillas (1990) introduced a definition of strategic stability based on perturbations of the best reply correspondence that satisfies all of the requirements given by Kohlberg and Mertens (1986). Hillas et al. (2001) point out though that the proofs of the iterated dominance and forward induction properties were not correct. They also provide a proof of the IIS property, a stronger version of both iterated dominance and forward induction, using the results of that paper. In this note we provide a direct proof of the IIS property. Copyright Springer-Verlag 2004

Suggested Citation

  • John Hillas & Mathijs Jansen & Jos Potters & Dries Vermeulen, 2004. "Independence of inadmissible strategies and best reply stability: a direct proof," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 371-377, June.
    • Handle: RePEc:spr:jogath:v:32:y:2004:i:3:p:371-377
    DOI: 10.1007/s001820400168
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