Jeux stochastiques
Laraki, Rida1
1 CNRS, Laboratoire d’Économétrie, École polytechnique, 1 rue Descartes, 75005 Paris
Journées mathématiques X-UPS, Théorie des jeux – Introduction à la théorie des jeux répétés (2006), pp. 93-133.
Publié le :
DOI : 10.5802/xups.2006-04
Laraki, Rida 1

1 CNRS, Laboratoire d’Économétrie, École polytechnique, 1 rue Descartes, 75005 Paris 
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Laraki, Rida. Jeux stochastiques. Journées mathématiques X-UPS, Théorie des jeux – Introduction à la théorie des jeux répétés (2006), pp. 93-133. doi : 10.5802/xups.2006-04. http://www.numdam.org/articles/10.5802/xups.2006-04/

[BF68] Blackwell, D.; Ferguson, T. The big match, Ann. Math. Statist., Volume 33 (1968), pp. 882-886

[BK76a] Bewley, T.; Kohlberg, E. The asymptotic solution of a recursion equation occuring in stochastic games, Math. Oper. Res., Volume 1 (1976), pp. 321-336 | DOI | Zbl

[BK76b] Bewley, T.; Kohlberg, E. The asymptotic theory of stochastic games, Math. Oper. Res., Volume 1 (1976), pp. 197-208 | DOI | MR | Zbl

[Bla62] Blackwell, D. Discrete dynamic programming, Ann. Math. Statist., Volume 33 (1962), pp. 719-726 | DOI | MR | Zbl

[BR90] Benedetti, R.; Risler, J.-J. Real algebraic and semi-algebraic sets, Hermann, Paris, 1990

[Cou92] Coulomb, J.M. Repeated games with absorbing states and no signals, Internat. J. Game Theory, Volume 21 (1992), pp. 161-174 | DOI | MR | Zbl

[Cou01] Coulomb, J.M. Repeated games with absorbing states and signaling structure, Math. Oper. Res., Volume 26 (2001), pp. 286-303 | DOI | MR | Zbl

[Cou03] Coulomb, J.M. Stochastic games without perfect monitoring, Internat. J. Game Theory, Volume 32 (2003), p. 723-96 | DOI | MR | Zbl

[Fin64] Fink, A.M. Equilibrium in a stochastic n-person game, J. Sci. Hiroshima Univ., Volume 28 (1964), pp. 89-93 | MR | Zbl

[For81] Forster, O. Lectures on Riemann surfaces, Graduate Texts in Math., 81, Springer-Verlag, New York, Berlin, 1981 | DOI

[Koh74] Kohlberg, E. Repeated games with absorbing states, Ann. Statist., Volume 2 (1974), pp. 724-738 | DOI | MR | Zbl

[Lar01] Laraki, R. Variational inequalities, system of functional equations, and incomplete information repeated games, SIAM J. Control Optimization, Volume 40 (2001) no. 2, pp. 516-524 | DOI | MR | Zbl

[Lar02] Laraki, R. Repeated games with lack information on one side : the dual differential approach, Math. Oper. Res., Volume 27 (2002) no. 2, pp. 419-440 | DOI | MR | Zbl

[Lar06] Laraki, R. A variational approach in zero-sum absorbing games (2006) (preprint)

[LSV05] Laraki, R.; Solan, E.; Vieille, N. Continuous-time games of timing, J. Econom. Theory, Volume 120 (2005), pp. 206-238 | DOI | MR | Zbl

[MN81] Mertens, J.-F.; Neyman, A. Stochastic games, Internat. J. Game Theory, Volume 10 (1981), pp. 53-66 | DOI | MR | Zbl

[MP70] Maitra, A.; Parthasarathy, T. On stochastic games, J. Optimization Theory Appl., Volume 5 (1970), pp. 289-300 | DOI | Zbl

[MS96] Maitra, A.; Sudderth, W. Discrete gambling and stochastic games, Springer, 1996 | DOI

[MSZ94] Mertens, J.-F.; Sorin, S.; Zamir, S. Repeated games, 1994, pp. 9420-9422 (CORE discussion paper)

[Now85] Nowak, A.S. Universally measurable strategies in zero-sum stochastic games, Ann. Probability, Volume 13 (1985), pp. 269-287 | DOI | MR | Zbl

[NS03] Neyman, A.; Sorin, S. Stochastic games and applications, NATO Science Series, Kluwer Academic Publishers, 2003 | DOI

[Ros00] Rosenberg, D. Zero-sum absorbing games with incomplete information on one side : asymptotic analysis, SIAM J. Control Optimization, Volume 39 (2000), pp. 208-225 | DOI | MR | Zbl

[RS01] Rosenberg, D.; Sorin, S. An operator approach to zero-sum repeated games, Israel J. Math., Volume 121 (2001), pp. 221-246 | DOI | MR | Zbl

[RSV02a] Rosenberg, D.; Solan, E.; Vieille., N. Blackwell optimality in Markov decision processes with partial observation, Ann. Statist., Volume 30 (2002), pp. 1178-1193 | DOI | MR | Zbl

[RSV02b] Rosenberg, D.; Solan, E.; Vieille., N. The MaxMin value of stochastic games with imperfect monitoring, Internat. J. Game Theory, Volume 32 (2002), pp. 133-150 | DOI | MR | Zbl

[Sha53] Shapley, L.S. Stochastic games, Proc. Nat. Acad. Sci. India Sect. A, Volume 39 (1953), pp. 1095-1100 | DOI | MR | Zbl

[Sol99] Solan, E. Three-player absorbing games, Math. Oper. Res., Volume 24 (1999), pp. 669-698 | DOI | MR | Zbl

[Sol06] Solan, E. Stochastic games (2006) (a non-published master course)

[Sor86] Sorin, S. Asymptotic properties of a non zero-sum stochastic game, Internat. J. Game Theory, Volume 15 (1986), pp. 101-107 | DOI | Zbl

[Sor02] Sorin, S. A first course on zero-sum repeated games, Springer-Verlag, 2002

[SV01] Solan, E.; Vieille, N. Quitting games, Math. Oper. Res., Volume 26 (2001), pp. 265-285 | DOI | MR | Zbl

[SV03] Solan, E.; Vieille, N. Quitting games – an example, Internat. J. Game Theory, Volume 31 (2003), pp. 365-381 | DOI | MR | Zbl

[Tak64] Takahashi, M. Equilibrium points of stochastic non-cooperative n-person game, J. Sci. Hiroshima Univ., Volume 28 (1964), pp. 95-99 | MR | Zbl

[Vie00a] Vieille, N. Two-player stochastic games I : a reduction, Israel J. Math., Volume 119 (2000), pp. 55-91 | DOI | MR | Zbl

[Vie00b] Vieille, N. Two-player stochastic games II : the case of recursive games, Israel J. Math., Volume 119 (2000), pp. 93-126 | DOI | MR | Zbl

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