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A Zero-Sum Stochastic Game with Compact Action Sets and no Asymptotic Value

  • Vigeral, Guillaume
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    We give an example of a zero-sum stochastic game with four states, compact action sets for each player, and continuous payoff and transition functions, such that the discounted value does not converge as the discount factor tends to 0, and the value of the n-stage game does not converge as n goes to infinity.

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    File URL: http://basepub.dauphine.fr/xmlui/bitstream/123456789/10880/2/ArticleCounterExamplefinalrevisionVIGERAL.pdf
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    Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/10880.

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    Date of creation: 2013
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    Publication status: Published in Dynamic Games and Applications, 2013, Vol. 3, no. 2. pp. 172-186.Length: 14 pages
    Handle: RePEc:dau:papers:123456789/10880
    Contact details of provider: Web page: http://www.dauphine.fr/en/welcome.html

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    1. Pierre Cardaliaguet & Rida Laraki & Sylvain Sorin, 2012. "A Continuous Time Approach for the Asymptotic Value in Two-Person Zero-Sum Repeated Games," Post-Print hal-00609476, HAL.
    2. Renault, Jérôme, 2008. "The value of repeated games with an informed controller," Economics Papers from University Paris Dauphine 123456789/6248, Paris Dauphine University.
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