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Computing uniformly optimal strategies in two-player stochastic games

  • Eilon Solan

    ()

  • Nicolas Vieille

    ()

We provide a computable algorithm to calculate uniform ε-optimal strategies in two-player zero-sum stochastic games. Our approach can be used to construct algorithms that calculate uniform ε-equilibria and uniform correlated ε-equilibria in various classes of multi-player non-zero-sum stochastic games.

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File URL: http://hdl.handle.net/10.1007/s00199-009-0437-1
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Article provided by Springer & Society for the Advancement of Economic Theory (SAET) in its journal Economic Theory.

Volume (Year): 42 (2010)
Issue (Month): 1 (January)
Pages: 237-253

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Handle: RePEc:spr:joecth:v:42:y:2010:i:1:p:237-253
DOI: 10.1007/s00199-009-0437-1
Contact details of provider: Web page: http://www.springer.com

Web page: http://saet.uiowa.edu/

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Order Information: Web: http://www.springer.com/economics/economic+theory/journal/199/PS2

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  1. Flesch, János & Schoenmakers, Gijs & Vrieze, Koos, 2008. "Stochastic games on a product state space: The periodic case," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. repec:dau:papers:123456789/6019 is not listed on IDEAS
  3. Flesch, J. & Thuijsman, F. & Vrieze, O.J., 2007. "Stochastic games with additive transitions," European Journal of Operational Research, Elsevier, vol. 179(2), pages 483-497, June.
  4. MERTENS, Jean-François, . "Stochastic games," CORE Discussion Papers RP 1587, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Vrieze, O J & Thuijsman, F, 1989. "On Equilibria in Repeated Games with Absorbing States," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 293-310.
  6. Vrieze, O.J. & Tijs, S.H., 1982. "Fictitious play applied to sequences of games and discounted stochastic games," Other publications TiSEM da21d287-bc00-4a8e-a18f-0, Tilburg University, School of Economics and Management.
  7. Eilon Solan & Nicolas Vieille, 1998. "Quitting Games," Discussion Papers 1227, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Donald A. Walker (ed.), 2000. "Equilibrium," Books, Edward Elgar Publishing, volume 0, number 1585.
  9. VIEILLE, Nicolas & SOLAN, Eilon, 2002. "Perturbed Markov Chains," Les Cahiers de Recherche 757, HEC Paris.
  10. Mertens, J.-F., 1986. "Repeated games," CORE Discussion Papers 1986024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Mertens,Jean-François & Sorin,Sylvain & Zamir,Shmuel, 2015. "Repeated Games," Cambridge Books, Cambridge University Press, number 9781107030206, Junio.
    • Mertens,Jean-François & Sorin,Sylvain & Zamir,Shmuel, 2015. "Repeated Games," Cambridge Books, Cambridge University Press, number 9781107662636, Junio.
  11. repec:dau:papers:123456789/6017 is not listed on IDEAS
  12. Krishnendu Chatterjee & Rupak Majumdar & Thomas Henzinger, 2008. "Stochastic limit-average games are in EXPTIME," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 219-234, June.
  13. Herings,P. Jean-Jacques & Peeters,Ronald J.A.P, 2000. "Stationary Equilibria in Stochastic Games: Structure, Selection, and Computation," Research Memorandum 004, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  14. Eilon Solan & Nicolas Vieille, 1998. "Correlated Equilibrium in Stochastic Games," Discussion Papers 1226, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  15. Eilon Solan & Rakesh V. Vohra, 2002. "Correlated equilibrium payoffs and public signalling in absorbing games," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 91-121.
  16. Abraham Neyman, 2002. "Stochastic games: Existence of the MinMax," Discussion Paper Series dp295, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
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