ABSTRACT


Equilibria for discontinuous noncooperative games: applications of topological measure theory.
Erik Balder
For discontinuous games Simon and Zame introduced a new approach to the existence of equilibria in discontinuous games, where the usual fixed point approach breaks down. Their approach is based on a discrete approximation scheme, based on discrete approximating games, with a concomitant sequence of approximate mixed Nash equilibria. The weak limit of this sequence allows an equilibrium interpretation for the original, discontinuous game via so-called endogenous sharing rules. We shall show that in this situation also a very natural continuous approximation scheme exists, based on continuous approximating games. Such a scheme produces more precise information about the equilibrium for the original, discontinuous game. As examples show, it has also strong computational advantages.
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Martijn Pistorius (pistorius@math.uu.nl)

Last Updated: February 5, 2002