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The structure of non-zero-sum stochastic games

Simon, Robert (2005) The structure of non-zero-sum stochastic games. CDAM research report series, LSE-CDAM-2005-19. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

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Identification Number: LSE-CDAM-2005-19

Abstract

Strategies in a stochastic game are > 0 perfect if the induced one-stage games have certain equilibrium properties. Sufficient conditions are proven for the existence of perfect strategies for all > 0 implying the existence of equilibria for every > 0. Using this approach we prove the existence of equilibria for every > 0 for a special class of quitting games. The important technique of the proof belongs to algebraic topology and reveals that more general proofs for the existence of equilibria in stochastic games must involve the topological structure of how the equilibria of one-stage games are related to changes in the payoffs.

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk
Additional Information: © 2005 the author
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM)
Date Deposited: 29 Oct 2008 16:31
Last Modified: 01 Oct 2010 09:06
URI: http://eprints.lse.ac.uk/id/eprint/13881

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