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)
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.
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