A formula for the value of a stochastic game
Attia, Luc; Oliu Barton, Miquel (2019), A formula for the value of a stochastic game, Proceedings of the National Academy of Sciences of the United States of America, 116, 52, p. 26435-26443. https://doi.org/10.1073/pnas.1908643116
TypeArticle accepté pour publication ou publié
External document linkhttps://www.pnas.org/content/116/52/26435.short?rss=1
Journal nameProceedings of the National Academy of Sciences of the United States of America
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Abstract (EN)In 1953, Lloyd Shapley defined the model of stochastic games, which were the first general dynamic model of a game to be defined, and proved that competitive stochastic games have a discounted value. In 1982, Jean-François Mertens and Abraham Neyman proved that competitive stochastic games admit a robust solution concept, the value, which is equal to the limit of the discounted values as the discount rate goes to 0. Both contributions were published in PNAS. In the present paper, we provide a tractable formula for the value of competitive stochastic games.
Subjects / Keywordsstochastic games; repeated games; dynamic programming
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