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On The Relation Among Some Definitions Of Strategic Stability

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  • Hillas, John
  • Jansen, Mathijis
  • Potters, Jos

Abstract

In this paper we examine a number of different definitions of strategic stability and the relations among them. In particular, we show that the stability requirement given by Hillas (1990) is weaker than the requirements involved in the various definitions of stability in Mertens' reformulation of stability (Mertens 1989, 1991). To this end, we introduce a new de nition of stability and show that it is equivalent to (a variant of) the definition given by Hillas (1990). We also use the equivalence of our new de nition with the definition of Hillas to provide correct proofs of some of the results that were originally claimed (and incorrectly \proved") in Hillas (1990).

Suggested Citation

  • Hillas, John & Jansen, Mathijis & Potters, Jos, 2001. "On The Relation Among Some Definitions Of Strategic Stability," Working Papers 137, Department of Economics, The University of Auckland.
    • Handle: RePEc:auc:wpaper:137
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    File URL: http://hdl.handle.net/2292/137
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    Cited by:

    1. Srihari Govindan & Robert Wilson, 2008. "Metastable Equilibria," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 787-820, November.
    2. Dieter Balkenborg & Dries Vermeulen, 2016. "Where Strategic and Evolutionary Stability Depart—A Study of Minimal Diversity Games," Mathematics of Operations Research, INFORMS, vol. 41(1), pages 278-292, February.
    3. G. De Marco & J. Morgan, 2008. "Slightly Altruistic Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 347-362, May.
    4. Demichelis, Stefano & Ritzberger, Klaus, 2003. "From evolutionary to strategic stability," Journal of Economic Theory, Elsevier, vol. 113(1), pages 51-75, November.
    5. Govindan, Srihari & Wilson, Robert B., 2007. "Stable Outcomes of Generic Games in Extensive Form," Research Papers 1933r, Stanford University, Graduate School of Business.
    6. Giuseppe De Marco & Jacqueline Morgan, 2007. "Slightly Altruistic Equilibria in Normal Form Games," CSEF Working Papers 185, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.

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    Keywords

    Economics;

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