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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Nash dynamics in two-person games
by
William Geller
Indiana University-Purdue University Indianapolis
Coauthors: Robert Becker (Economics, IU Bloomington), Subir Chakrabarti (Economics, IUPUI), Bruce Kitchens (IUPUI), Michal Misiurewicz (IUPUI)

Nash introduced a "better response" map on the space of strategies for a game which he used to prove the existence of a Nash equilibrium. We consider the Nash dynamics for two-person games with two pure strategies, amounting in each case to a piecewise rational map on the unit square. We describe the variety of behavior which can result.

Date received: February 28, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawy-35.