Perfect Information Stochastic Games and Related Classes

Frank Thuijsman () and Thirukkannamangai E. S. Raghavan ()
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Frank Thuijsman: Department of Mathematics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands, email: frank@math.unimaas.nl
Thirukkannamangai E. S. Raghavan: Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan Room 517, Chicago, IL 60607-7045, USA email: t.e.raghavan@uicvm.cc.uic.edu

International Journal of Game Theory, 1997, vol. 26, issue 3, 403-408

Abstract: For n-person perfect information stochastic games and for n-person stochastic games with Additive Rewards and Additive Transitions (ARAT) we show the existence of pure limiting average equilibria. Using a similar approach we also derive the existence of limiting average $ \epsilon $-equilibria for two-person switching control stochastic games. The orderfield property holds for each of the classes mentioned, and algorithms to compute equilibria are pointed out.

Date: 1998-05-19
Note: Received September 1994 Revised version March 1995 Final version June 1996
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