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An answer to a question of herings et al

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Author Info
Philippe Bich () (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Panthéon-Sorbonne - Paris I)
Abstract

One answers to an open question of Herings et al. (2008), by proving that their fixed point theorem for discontinuous functions works for mappings defined on convex compact subset of $\R^n$, and not only polytopes. This fixed point theorem can be applied to the problem of Nash equilibrium existence in discontinuous games.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00265464_v1.

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Date of creation: Feb 2008
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Handle: RePEc:hal:cesptp:halshs-00265464_v1

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Keywords: fixed point theorem; discontinuity; nash equilibrium;

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  1. Toussaint, Sabine, 1984. "On the existence of equilibria in economies with infinitely many commodities and without ordered preferences," Journal of Economic Theory, Elsevier, vol. 33(1), pages 98-115, June. [Downloadable!] (restricted)
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This page was last updated on 2009-12-19.

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