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Two Simple Proofs of the Feasibility of the Linear Tracing Procedure

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  • Herings, P.J.J.

    (Tilburg University, Center for Economic Research)

Abstract

Theories of equilibrium selection in non-cooperative games, as well as the notion of risk dominance, depend heavily on the so-called linear tracing procedure. This is the first paper to give direct, simple proofs of the feasibility of the linear tracing procedure. The first proof utilizes a result that is related to Kakutani's fixed point theorem and that is an extension of Browder's fixed point theorem. The second proof shows that it is even possible to avoid the use of correspondences.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1997-77.

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Date of creation: 1997
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Handle: RePEc:dgr:kubcen:199777

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Web page: http://center.uvt.nl

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  1. Damme, E.E.C. van & Hurkens, S., 1998. "Endogenous Stackelberg leadership," Open Access publications from Tilburg University urn:nbn:nl:ui:12-80496, Tilburg University.
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Cited by:
  1. HERINGS, P. Jean-Jacques & van der LAAN, Gerard & TALMAN, Dolf & YANG, Zaifu, . "A fixed point theorem for discontinuous functions," CORE Discussion Papers RP -2154, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Herings,P. Jean-Jacques, 2002. "Universally Stable Adjustment Processes - A Unifying Approach -," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. Herings, P. Jean-Jacques & Peeters, Ronald J. A. P., 2004. "Stationary equilibria in stochastic games: structure, selection, and computation," Journal of Economic Theory, Elsevier, vol. 118(1), pages 32-60, September.

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