# American Institute of Mathematical Sciences

July  2014, 1(3): i-iv. doi: 10.3934/jdg.2014.1.3i

## Preface: Special Issue in Honor of the 60th Birthday of Sylvain Sorin

 1 Mathematics Department, University of Vienna, Austria 2 CNRS, LAMSADE, Université Paris-Dauphine, and Ecole Polytechnique, France 3 GREMAQ-TSE, Université Toulouse 1 Capitole, France

Published  July 2014

We have the immense pleasure of editing this special issue in honor of Sylvain Sorin. It follows the international conference GameS and StrategY in PariS,'' organized by the French school of mathematical game theory, that was also held in his honor. The conference took place at the Institut Henri Poincaré (IHP) in June 2012, included 21 plenary talks and attracted more than 150 participants.

Citation: Josef Hofbauer, Rida Laraki, Jérôme Renault. Preface: Special Issue in Honor of the 60th Birthday of Sylvain Sorin. Journal of Dynamics & Games, 2014, 1 (3) : i-iv. doi: 10.3934/jdg.2014.1.3i
##### References:
 [1] S. Assoulamani, M. Quincampoix and S. Sorin, Repeated games and qualitative differential games: Approachability and comparison of strategies, SIAM J. on Control and Optimization, 48 (2009), 2461-2479. doi: 10.1137/090749098.  Google Scholar [2] R. J. Aumann and S. Sorin, Cooperation and bounded recall, Games and Economic Behavior, 1 (1989), 5-39. doi: 10.1016/0899-8256(89)90003-1.  Google Scholar [3] M. Benaim, J. Hofbauer and S. Sorin, Stochastic approximations and differential inclusions, SIAM J. on Control and Optimization, 44 (2005), 328-348. doi: 10.1137/S0363012904439301.  Google Scholar [4] M. Benaim, J. Hofbauer and S. Sorin, Stochastic approximations and differential inclusions. Part II: Applications, Mathematics of Operations Research, 31 (2006), 673-695. doi: 10.1287/moor.1060.0213.  Google Scholar [5] R. Cardaliaguet, R. Laraki and S. Sorin, A continuous time approach for the asymptotic value in two-person zero-sum repeated games, SIAM J. on Control and Optimization, 50 (2012), 1573-1596. doi: 10.1137/110839473.  Google Scholar [6] R. Cominetti, E. Melo and S. Sorin, A payoff-based learning procedure and its application to traffic games, Games and Economic Behavior, 70 (2010), 71-83. doi: 10.1016/j.geb.2008.11.012.  Google Scholar [7] R. Cominetti, J. Peypouquet and S. Sorin, Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization, Journal of Differential Equations, 245 (2008), 3753-3763. doi: 10.1016/j.jde.2008.08.007.  Google Scholar [8] J. Hofbauer and S. Sorin, Best response dynamics for continuous zero-sum games, Discrete and Continuous Dynamical Systems Series B, 6 (2006), 215-224.  Google Scholar [9] J. Hofbauer, S. Sorin and Y. Viossat, Time average replicator and best reply dynamics, Mathematics of Operations Research, 34 (2009), 263-269. doi: 10.1287/moor.1080.0359.  Google Scholar [10] R. Laraki, J. Renault and S. Sorin, Bases Mathématiques de la Théeorie des Jeux, Editions de l'Ecole Polytechnique, 2013.  Google Scholar [11] E. Lehrer and S. Sorin, A uniform tauberian theorem in dynamic programming, Mathematics of Operations Research, 17 (1992), 303-307. doi: 10.1287/moor.17.2.303.  Google Scholar [12] E. Lehrer and S. Sorin, One-shot public mediated talk, Games and Economic Behavior, 20 (1997), 131-148. doi: 10.1006/game.1997.0545.  Google Scholar [13] J.-F. Mertens and S. Sorin, Game Theoretic Methods in General Equilibrium Analysis, (NATO ASI), Kluwer Academic Publishers, 1994. Google Scholar [14] J.-F. Mertens, S. Sorin and S. Zamir, Repeated Games, Cambridge University Press, to appear, 2014. Google Scholar [15] D. Monderer and S. Sorin, Asymptotic properties in dynamic programming, International Journal of Game Theory, 22 (1993), 1-11. doi: 10.1007/BF01245566.  Google Scholar [16] A. Neyman and S. Sorin, Equilibria in repeated games of incomplete information: The general symmetric case, International Journal of Game Theory, 27 (1998), 201-210. doi: 10.1007/s001820050066.  Google Scholar [17] A. Neyman and S. Sorin, Stochastic Games and Applications, (NATO ASI), Kluwer Academic Publishers, 2003. doi: 10.1007/978-94-010-0189-2.  Google Scholar [18] A. Neyman and S. Sorin, Repeated games with public uncertain duration process, International Journal of Game Theory, 39 (2010), 29-52. doi: 10.1007/s00182-009-0197-y.  Google Scholar [19] J. Peypouquet and S. Sorin, Evolution equations for maximal monotone operators: Asymptotic analysis in continuous and discrete time, Journal of Convex Analysis, 17 (2010), 1113-1163.  Google Scholar [20] J.-P. Ponssard and S. Sorin, Optimal behavioral strategies in zero-sum games with almost perfect information, Mathematics of Operations Research, 7 (1982), 14-31. doi: 10.1287/moor.7.1.14.  Google Scholar [21] D. Rosenberg and S. Sorin, An operator approach to zero-sum repeated games, Israel Journal of Mathematics, 121 (2000), 221-246. doi: 10.1007/BF02802505.  Google Scholar [22] S. Sorin, Some results on the existence of Nash equilibria for non zero-sum games with incomplete information, International Journal of Game Theory, 12 (1983), 193-205. doi: 10.1007/BF01769090.  Google Scholar [23] S. Sorin, "Big Match'' with lack of information on one side, Part I, International Journal of Game Theory, 13 (1984), 201-255. doi: 10.1007/BF01769463.  Google Scholar [24] S. Sorin, "Big Match'' with lack of information on one side, Part II, International Journal of Game Theory, 14 (1985), 173-204. doi: 10.1007/BF01756391.  Google Scholar [25] S. Sorin, On a repeated game with state dependent signalling matrices, International Journal of Game Theory, 14 (1985), 249-272. doi: 10.1007/BF01769311.  Google Scholar [26] S. Sorin, On repeated games with complete information, Mathematics of Operations Research, 11 (1986), 147-160. doi: 10.1287/moor.11.1.147.  Google Scholar [27] S. Sorin, Asymptotic properties of a non zero-sum stochastic game, International Journal of Game Theory, 15 (1986), 101-107. doi: 10.1007/BF01770978.  Google Scholar [28] S. Sorin, On repeated games without a recursive structure: Existence of lim $v_n$, International Journal of Game Theory, 18 (1989), 45-55. doi: 10.1007/BF01248495.  Google Scholar [29] S. Sorin, Strategic market games with exchange rates, Journal of Economic Theory, 69 (1996), 431-446. doi: 10.1006/jeth.1996.0062.  Google Scholar [30] S. Sorin, Merging, reputation and repeated games with incomplete information, Games and Economic Behavior, 29 (1999), 274-308. doi: 10.1006/game.1999.0722.  Google Scholar [31] S. Sorin, A First Course on Zero-Sum Repeated Games, Mathématiques et Applications, 37, Springer, 2002.  Google Scholar [32] S. Sorin, Asymptotic properties of monotonic non expansive mappings, Discrete Events Dynamic Systems, 14 (2004), 109-122. doi: 10.1023/B:DISC.0000005011.93152.d8.  Google Scholar [33] S. Sorin, Exponential weight algorithm in continuous time, Mathematical Programming, 116 (2009), 513-528. doi: 10.1007/s10107-007-0111-y.  Google Scholar [34] S. Sorin, On some global and unilateral adaptive dynamics, Evolutionary Game Dynamics (ed. K. Sigmund), Proceedings of Symposia in Applied Mathematics, 69, AMS, 2011, 81-109. doi: 10.1090/psapm/069/2882635.  Google Scholar [35] S. Sorin and G. Vigeral, Existence of the limit value of two person zero-sum discounted repeated games via comparison theorems, Journal of Optimization Theory and Applications, 157 (2013), 564-576. doi: 10.1007/s10957-012-0193-4.  Google Scholar [36] S. Sorin, G. Vigeral and X. Venel, Asymptotic properties of optimal trajectories in dynamic programming, Sankhya, 72 (2013), 237-245. doi: 10.1007/s13171-010-0011-8.  Google Scholar [37] S. Sorin and C. Wan, Delegation equilibrium payoffs in integer-splitting games, RAIRO Operations Research, 47 (2013), 47-58. doi: 10.1051/ro/2013026.  Google Scholar

show all references

##### References:
 [1] S. Assoulamani, M. Quincampoix and S. Sorin, Repeated games and qualitative differential games: Approachability and comparison of strategies, SIAM J. on Control and Optimization, 48 (2009), 2461-2479. doi: 10.1137/090749098.  Google Scholar [2] R. J. Aumann and S. Sorin, Cooperation and bounded recall, Games and Economic Behavior, 1 (1989), 5-39. doi: 10.1016/0899-8256(89)90003-1.  Google Scholar [3] M. Benaim, J. Hofbauer and S. Sorin, Stochastic approximations and differential inclusions, SIAM J. on Control and Optimization, 44 (2005), 328-348. doi: 10.1137/S0363012904439301.  Google Scholar [4] M. Benaim, J. Hofbauer and S. Sorin, Stochastic approximations and differential inclusions. Part II: Applications, Mathematics of Operations Research, 31 (2006), 673-695. doi: 10.1287/moor.1060.0213.  Google Scholar [5] R. Cardaliaguet, R. Laraki and S. Sorin, A continuous time approach for the asymptotic value in two-person zero-sum repeated games, SIAM J. on Control and Optimization, 50 (2012), 1573-1596. doi: 10.1137/110839473.  Google Scholar [6] R. Cominetti, E. Melo and S. Sorin, A payoff-based learning procedure and its application to traffic games, Games and Economic Behavior, 70 (2010), 71-83. doi: 10.1016/j.geb.2008.11.012.  Google Scholar [7] R. Cominetti, J. Peypouquet and S. Sorin, Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization, Journal of Differential Equations, 245 (2008), 3753-3763. doi: 10.1016/j.jde.2008.08.007.  Google Scholar [8] J. Hofbauer and S. Sorin, Best response dynamics for continuous zero-sum games, Discrete and Continuous Dynamical Systems Series B, 6 (2006), 215-224.  Google Scholar [9] J. Hofbauer, S. Sorin and Y. Viossat, Time average replicator and best reply dynamics, Mathematics of Operations Research, 34 (2009), 263-269. doi: 10.1287/moor.1080.0359.  Google Scholar [10] R. Laraki, J. Renault and S. Sorin, Bases Mathématiques de la Théeorie des Jeux, Editions de l'Ecole Polytechnique, 2013.  Google Scholar [11] E. Lehrer and S. Sorin, A uniform tauberian theorem in dynamic programming, Mathematics of Operations Research, 17 (1992), 303-307. doi: 10.1287/moor.17.2.303.  Google Scholar [12] E. Lehrer and S. Sorin, One-shot public mediated talk, Games and Economic Behavior, 20 (1997), 131-148. doi: 10.1006/game.1997.0545.  Google Scholar [13] J.-F. Mertens and S. Sorin, Game Theoretic Methods in General Equilibrium Analysis, (NATO ASI), Kluwer Academic Publishers, 1994. Google Scholar [14] J.-F. Mertens, S. Sorin and S. Zamir, Repeated Games, Cambridge University Press, to appear, 2014. Google Scholar [15] D. Monderer and S. Sorin, Asymptotic properties in dynamic programming, International Journal of Game Theory, 22 (1993), 1-11. doi: 10.1007/BF01245566.  Google Scholar [16] A. Neyman and S. Sorin, Equilibria in repeated games of incomplete information: The general symmetric case, International Journal of Game Theory, 27 (1998), 201-210. doi: 10.1007/s001820050066.  Google Scholar [17] A. Neyman and S. Sorin, Stochastic Games and Applications, (NATO ASI), Kluwer Academic Publishers, 2003. doi: 10.1007/978-94-010-0189-2.  Google Scholar [18] A. Neyman and S. Sorin, Repeated games with public uncertain duration process, International Journal of Game Theory, 39 (2010), 29-52. doi: 10.1007/s00182-009-0197-y.  Google Scholar [19] J. Peypouquet and S. Sorin, Evolution equations for maximal monotone operators: Asymptotic analysis in continuous and discrete time, Journal of Convex Analysis, 17 (2010), 1113-1163.  Google Scholar [20] J.-P. Ponssard and S. Sorin, Optimal behavioral strategies in zero-sum games with almost perfect information, Mathematics of Operations Research, 7 (1982), 14-31. doi: 10.1287/moor.7.1.14.  Google Scholar [21] D. Rosenberg and S. Sorin, An operator approach to zero-sum repeated games, Israel Journal of Mathematics, 121 (2000), 221-246. doi: 10.1007/BF02802505.  Google Scholar [22] S. Sorin, Some results on the existence of Nash equilibria for non zero-sum games with incomplete information, International Journal of Game Theory, 12 (1983), 193-205. doi: 10.1007/BF01769090.  Google Scholar [23] S. Sorin, "Big Match'' with lack of information on one side, Part I, International Journal of Game Theory, 13 (1984), 201-255. doi: 10.1007/BF01769463.  Google Scholar [24] S. Sorin, "Big Match'' with lack of information on one side, Part II, International Journal of Game Theory, 14 (1985), 173-204. doi: 10.1007/BF01756391.  Google Scholar [25] S. Sorin, On a repeated game with state dependent signalling matrices, International Journal of Game Theory, 14 (1985), 249-272. doi: 10.1007/BF01769311.  Google Scholar [26] S. Sorin, On repeated games with complete information, Mathematics of Operations Research, 11 (1986), 147-160. doi: 10.1287/moor.11.1.147.  Google Scholar [27] S. Sorin, Asymptotic properties of a non zero-sum stochastic game, International Journal of Game Theory, 15 (1986), 101-107. doi: 10.1007/BF01770978.  Google Scholar [28] S. Sorin, On repeated games without a recursive structure: Existence of lim $v_n$, International Journal of Game Theory, 18 (1989), 45-55. doi: 10.1007/BF01248495.  Google Scholar [29] S. Sorin, Strategic market games with exchange rates, Journal of Economic Theory, 69 (1996), 431-446. doi: 10.1006/jeth.1996.0062.  Google Scholar [30] S. Sorin, Merging, reputation and repeated games with incomplete information, Games and Economic Behavior, 29 (1999), 274-308. doi: 10.1006/game.1999.0722.  Google Scholar [31] S. Sorin, A First Course on Zero-Sum Repeated Games, Mathématiques et Applications, 37, Springer, 2002.  Google Scholar [32] S. Sorin, Asymptotic properties of monotonic non expansive mappings, Discrete Events Dynamic Systems, 14 (2004), 109-122. doi: 10.1023/B:DISC.0000005011.93152.d8.  Google Scholar [33] S. Sorin, Exponential weight algorithm in continuous time, Mathematical Programming, 116 (2009), 513-528. doi: 10.1007/s10107-007-0111-y.  Google Scholar [34] S. Sorin, On some global and unilateral adaptive dynamics, Evolutionary Game Dynamics (ed. K. Sigmund), Proceedings of Symposia in Applied Mathematics, 69, AMS, 2011, 81-109. doi: 10.1090/psapm/069/2882635.  Google Scholar [35] S. Sorin and G. Vigeral, Existence of the limit value of two person zero-sum discounted repeated games via comparison theorems, Journal of Optimization Theory and Applications, 157 (2013), 564-576. doi: 10.1007/s10957-012-0193-4.  Google Scholar [36] S. Sorin, G. Vigeral and X. Venel, Asymptotic properties of optimal trajectories in dynamic programming, Sankhya, 72 (2013), 237-245. doi: 10.1007/s13171-010-0011-8.  Google Scholar [37] S. Sorin and C. Wan, Delegation equilibrium payoffs in integer-splitting games, RAIRO Operations Research, 47 (2013), 47-58. doi: 10.1051/ro/2013026.  Google Scholar
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