Zero-sum repeated games: counterexamples to the existence of the asymptotic value and the conjecture \({\max}{\min}=\lim v_{n}\)
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Publication:282504
DOI10.1214/14-AOP997zbMath1344.91006arXiv1305.4778OpenAlexW2301305374WikidataQ123155597 ScholiaQ123155597MaRDI QIDQ282504
Publication date: 12 May 2016
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.4778
2-person games (91A05) Stochastic games, stochastic differential games (91A15) Multistage and repeated games (91A20)
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Cites Work
- Unnamed Item
- A zero-sum stochastic game with compact action sets and no asymptotic value
- Existence of the uniform value in zero-sum repeated games with a more informed controller
- Existence of optimal strategies in Markov games with incomplete information
- A generalized geometric distribution and some of its properties
- Formulation of Bayesian analysis for games with incomplete information
- ``Big match with lack of information on one side. II
- Minmax and maxmin of repeated games with incomplete information
- Infinitely repeated games of incomplete information: Symmetric case with random signals
- Repeated games of incomplete information: The symmetric case
- The maxmin value of stochastic games with imperfect monitoring
- Blackwell optimality in Markov decision processes with partial observation.
- ``Big Match with lack of information on one side. I
- The value of two-person zero-sum repeated games with lack of information on both sides
- The Maxmin of Recursive Games with Incomplete Information on one Side
- The Value of Repeated Games with an Informed Controller
- The Asymptotic Theory of Stochastic Games
- Zero Sum Absorbing Games with Incomplete Information on One Side: Asymptotic Analysis
- Stochastic Games with a Single Controller and Incomplete Information
- Commutative Stochastic Games
- The Value of Markov Chain Games with Lack of Information on One Side
- Stochastic Games
- Stochastic games
- A first course on zero-sum repeated games
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