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Published in:
2007 | OriginalPaper | Chapter
Linear Complementarity and P-Matrices for Stochastic Games
Authors : Ola Svensson, Sergei Vorobyov
Published in: Perspectives of Systems Informatics
Publisher: Springer Berlin Heidelberg
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We define the first nontrivial polynomially recognizable subclass of P-matrix Generalized Linear Complementarity Problems (GLCPs) with a subexponential pivot rule. No such classes/rules were previously known. We show that a subclass of Shapley turn-based stochastic games, subsuming Condon’s simple stochastic games, is reducible to the new class of GLCPs. Based on this we suggest the new strongly subexponential combinatorial algorithms for these games.