Publications
Books:
Mathematical Foundations of Game Theory, with R. Laraki and S. Sorin. Springer 2019. Polish translation "Teoria gier. Podstawy matematyczne". PWN 2022.
Bases Mathématiques de la Théorie des Jeux: avec R. Laraki et S. Sorin. 186 pages, ISBN 978-2-7302-1611-1 Editions de l'Ecole Polytechnique 2013.
Théorie des jeux, introduction à la théorie des jeux répétés, with R. Laraki and T. Tomala. Journées X-Ups 2006, éditions de l'Ecole Polytechnique.
Prepublications:
A Folk Theorem for finitely repeated games with public monitoring, with J. Hörner, 2023.
Optimistic Gradient Ascent Descent in Zero-Sum and General-Sum Bilinear Games, with E. de Montbrun 2022. Slides2023 Video
Supply flexibility and risk transfer in electricity markets, with C. Crampes. 2023.
Publications:
La Théorie des jeux , in Dictionnaire des Sciences du Jeu, Editions Eres, éditeurs G. Brougère et D. Savignac, Avril 2024.
Splitting games over finite sets, with F. Koessler, M. Laclau and T. Tomala, Mathematical Programming, vol. 203, p. 477-498, 2024. (Typos Proposition 1: 0<i<m and 0<j<n, Proof of Lemma 1, penultimate line, v_{i_1,j_1} and penultimate line page 16, R(q)\{∂_q})
Competition and Recall in Selection Problems, with F. Gensbittel and D. Pizarro, Dynamic Games and Applications 2023.
Value-Based distance between the information structures, with F. Gensbittel and M. Peski. Theoretical Economics 17, p. 1225-1267, 2022. Older version The large space of information structures,
Long Information Design, with F. Koessler, M. Laclau and T. Tomala. Theoretical Economics 17, p. 883-927, 2022.
Strategic information transmission with sender's approval, with F. Forges. International journal of Game Theory, 50, 475-502, 2021.
Edition, with D. Ramsey: Annals of the International Society of Dynamic Games vol 17: Games of conflict, Evolutionary games, Economic games and Games involving common interests, 2020 Birkhauser ISBN 978-3-030-56533-6. 346 pages
Hidden Stochastic Games and Limit Equilibrium payoffs with B. Ziliotto, Games and Economic Behavior, (124), p.122-139, 2020.
Acyclic Gambling Games, with R. Laraki. Mathematics of Operations Research 45 (4), p.1237-1257, 2020.
Representation formulas for limit values of long run stochastic optimal controls, with R.Buckdahn, J. Li, M. Quincampoix, SIAM Journal on Control and Optimization 58 (4), p. 1846-1873, 2020.
Limit Equilibrium Payoffs in Stochastic Games, with B. Ziliotto. Mathematics of Operations Research 45 (3), p.889-895, 2020.
Mathematical Foundations of Game Theory, with R. Laraki and S. Sorin. Universitext book series, Springer 2019.
How many markets for wholesale electricity when supply is partially flexible ? with C. Crampes. Energy Economics, vol 81, June 2019, p 465-478.
Repeated Games with Incomplete Information. Meyers R. (eds) Encyclopedia of Complexity and Systems Science. Springer, Berlin, Heidelberg, 2018.
Zero-sum revision games, with F. Gensbittel, S. Lovo and T. Tomala. Games and Economic Behavior, vol. 108 special Issue in honor of Lloyd Shapley, 504-522, March 2018.
Optimal Dynamic Information Provision, with E. Solan and N. Vieille. Games and Economic Behavior, vol. 104, July 2017, 329-349.
A distance for probability spaces, and long-term values in Markov Decision Processes and Repeated Games. with X. Venel, Mathematics of Operations Research 42 (2), pp.349-376, May 2017.
Uniform Folk Theorems in Repeated Anonymous Random Matching Games, with J. Deb and J. Gonzalez-Diaz. Games and Economic Behavior 100, 1-23, November 2016.
Limit Value for Optimal Control with general means, with X. LI and M. Quincampoix. Discrete and Continuous Dynamical System - A, vol 36 number 4, pp.2113-2132, April 2016.
On the values of repeated games with signals, with H. Gimbert, S. Sorin, X. Venel and W. Zielonka. Annals of Applied Probability, February 2016, Vol 26, No 1, 402-424. Presentation IRIT
The repairman problem revisited, with C. Crampes. Annals of Economics and Statistics 121-122, June 2016, pp. 7-24.
On Representation Formulas for Long Run Averaging Optimal Control Problem, with R. Buckdahn and M. Quincampoix. Journal of Differential Equations 259, 5554-5581, December 5, 2015.
The value of Markov chain games with lack of information on both sides. with F. Gensbittel, Mathematics of Operations Research 40(4), pp. 820–841, November 2015.
General limit value in Dynamic Programming. Journal of Dynamics and Games, Vol. 1, Number 3, p. 471-484, July 2014.
Secure message transmission on directed networks, with L. Renou and T. Tomala. Games and Economic Behavior, vol. 85, p.1-18, 2014.
Dynamic Sender-Receiver Games, with E. Solan and N. Vieille. Journal of Economic Theory, Vol. 148, issue 2, 502-534, March 2013. Presentation
Bases Mathématiques de la Théorie des Jeux (en français):avec R. Laraki et S. Sorin. 186 pages, ISBN 978-2-7302-1611-1 Editions de l'Ecole Polytechnique 2013.
The value of Repeated Games with an informed controller, Mathematics of Operations Research 37:154-179, February 2012. presentation
General properties of long-run supergames, with Tristan Tomala. Dynamic Games and Applications, 319-350, June 2011. PresentationJune2011
Uniform value in Dynamic Programming, Journal of the European Mathematical Society, January 2011, vol.13, p.309-330. presentations MDPJMODE MDPIMT
On the existence of a limit value in some non expansive optimal control problems, with M. Quincampoix. SIAM Journal on Control and Optimization 49, p.2118-2132, October 2011.
Repeated games with incomplete information (chapter of the Encyclopedia of Complexity & System Science, Springer 2009). see http://www.springer.com/physics/book/978-0-387-75888-6 Also in Computational Complexity: Theory, Techniques and Applications, p.2635-2655, R.A. Meyers editor, Springer, ISBN 978-1461417996, 2012.
Playing off-line games with bounded rationality (avec M. Scarsini et T. Tomala), Mathematical Social Sciences, September 2008, vol.56, p.207-223.
Discounted and Finitely Repeated Minority Games with Public Signals (avec S. Scarlatti et M. Scarsini), Mathematical Social Sciences, July 2008, vol.56, p.44-74.
Probabilistic reliability and privacy of communication using multicast in general neighbor networks avec T. Tomala, Journal of Cryptology, April 2008, vol.21, 250-279. Beamer presentation
Habilitation à diriger des recherches (Novembre 2007): Soutenance
A Minority Game with Bounded Recall (avec M. Scarsini et T. Tomala), Mathematics of Operations Research 2007, vol.32, p.873-889.11-minorityboundedrecall07.pdf
The value of Markov chain repeated games with lack of information on one side, Mathematics of Operations Research 2006, vol.31, p.490-512. 10-Markovgame06.pdf
Théorie des Jeux: le prix Nobel pour les travaux de R.J. Aumann (Article de synthèse avec F. Forges, S. Sorin, N. Vieille, Matapli SMAI janvier 2006).
A folk theorem for minority games (avec S. Scarlatti et M. Scarsini), Games and Economic Behavior 2005, vol.53, 208-230.
View-obstruction: A shorter proof for 6 lonely runners, Discrete Mathematics 2004, vol.287, p.93-101.
Communication equilibria in supergames (avec T. Tomala), Games and Economic Behavior 2004, vol.49, p.313-344. Slides
Ramsey-type results on singletons, co-singletons and monotone sequences in large collections of sets (avec S. Gravier, F.Maffray et N. Trotignon), European Journal of Combinatorics 2004, vol.25, p.719-734.
Learning the state of nature in repeated games with incomplete information and signals, avec T. Tomala, Games and Economic Behavior 2004, vol.47, p.124-156.
Learning sets in state dependent signalling game forms: a characterization, Mathematics of Operations Research 2001, vol.26, p.832-851.4-learningsetspure01.pdf
3-player repeated games with lack of information on one side, International Journal of Game Theory 2001, vol.30, p.221-246.3-3playersoneside01.pdf
2-player repeated games with lack of information on one side and state independent signalling, Mathematics of Operations Research 2000, vol.25, p.552-572.
Repeated proximity games avec T. Tomala, International Journal of Game Theory 1998, vol.27, p.539-559.
Divers:
Repeated Games with Public Signal and Bounded Recall (avec M. Scarsini et T. Tomala) PresentationLABRI
Présentation des Jeux répétés à information incomplète, 2006.
Cours d'Introduction aux jeux sous forme normale (niveau M1), 2006.
Zero-sum games 1997, Refinements of Nash equilibria for strategic games 1997, and Games in extensive form, 2000. (written chapters for the Oiko Nomia project)