A Zero-Sum Stochastic Game with Compact Action Sets and no Asymptotic Value
AbstractWe 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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Bibliographic InfoPaper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/10880.
Date of creation: 2013
Date of revision:
Publication status: Published in Dynamic Games and Applications, 2013, Vol. 3, no. 2. pp. 172-186.Length: 14 pages
Compact action sets; Uniform value; Asymptotic behavior; Zero sum stochastic games;
Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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- Cardaliaguet, Pierre & Laraki, Rida & Sorin, Sylvain, 2012.
"A Continuous Time Approach for the Asymptotic Value in Two-Person Zero-Sum Repeated Games,"
Economics Papers from University Paris Dauphine
123456789/6775, Paris Dauphine University.
- 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.
- 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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