Existence of SPE in discounted stochastic games: revisited and simplified

Mertens and Parthasarathy (1987) proved the existence of sub-game perfect equilibria in discounted stochastic games. Their method involved new techniques in dynamic programming, which were presented in a very general framework, with no expense spared in highlighting versatility and scope. This pap...

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Main Author: Levy, Y
Format: Working paper
Published: University of Oxford 2015
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author Levy, Y
author_facet Levy, Y
author_sort Levy, Y
collection OXFORD
description Mertens and Parthasarathy (1987) proved the existence of sub-game perfect equilibria in discounted stochastic games. Their method involved new techniques in dynamic programming, which were presented in a very general framework, with no expense spared in highlighting versatility and scope. This paper presents the fundamentals of their technique which are necessary, as well as identifies and elaborates on the components of their method, hence giving the core of the proof in a much more concise, direct, and illuminating manner.
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spelling oxford-uuid:8a8b75ed-baac-4d1c-8d83-4decba8100792022-03-26T22:32:16ZExistence of SPE in discounted stochastic games: revisited and simplifiedWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:8a8b75ed-baac-4d1c-8d83-4decba810079Bulk import via SwordSymplectic ElementsUniversity of Oxford2015Levy, YMertens and Parthasarathy (1987) proved the existence of sub-game perfect equilibria in discounted stochastic games. Their method involved new techniques in dynamic programming, which were presented in a very general framework, with no expense spared in highlighting versatility and scope. This paper presents the fundamentals of their technique which are necessary, as well as identifies and elaborates on the components of their method, hence giving the core of the proof in a much more concise, direct, and illuminating manner.
spellingShingle Levy, Y
Existence of SPE in discounted stochastic games: revisited and simplified
title Existence of SPE in discounted stochastic games: revisited and simplified
title_full Existence of SPE in discounted stochastic games: revisited and simplified
title_fullStr Existence of SPE in discounted stochastic games: revisited and simplified
title_full_unstemmed Existence of SPE in discounted stochastic games: revisited and simplified
title_short Existence of SPE in discounted stochastic games: revisited and simplified
title_sort existence of spe in discounted stochastic games revisited and simplified
work_keys_str_mv AT levyy existenceofspeindiscountedstochasticgamesrevisitedandsimplified