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Two simple proofs of the feasibility of the linear tracing procedure

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  • P. Jean-Jacques Herings

    ()
    (Department of Econometrics and CentER, Tilburg University, P.O. Box 90153, NL-5000 LE Tilburg, THE NETHERLANDS)

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

Article provided by Springer in its journal Economic Theory.

Volume (Year): 15 (2000)
Issue (Month): 2 ()
Pages: 485-490

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Handle: RePEc:spr:joecth:v:15:y:2000:i:2:p:485-490

Note: Received: June 8, 1998; revised version: November 8, 1998
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Related research

Keywords: Non-cooperative game theory; Tracing procedure; Equilibrium selection; Browder's fixed point theorem.;

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  1. Damme, E.E.C. van & Hurkens, J.P.M., 1999. "Endogenous Stackelberg leadership," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154410, 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 & Peeters,Ronald J.A.P, 2000. "Stationary Equilibria in Stochastic Games: Structure, Selection, and Computation," Research Memorandum 004, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. 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).

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