A fixed point theorem for discontinuous functions

P.J.J. Herings, G. van der Laan, A.J.J. Talman, Z. Yang

    Research output: Contribution to JournalArticleAcademicpeer-review

    Abstract

    Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory. © 2007 Elsevier B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)89-93
    JournalOperations Research Letters
    Volume36
    DOIs
    Publication statusPublished - 2008

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