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Online Mathematics Seminar by Professor Jean-Pierre Fouque (University of California Santa Barbara), held on 31 May 2022. Abstract: We extend the Markov Decision Process setup to the cases of MFG and MFC problems and we generalize the optimality Bellman equation for Q-learning. By introducing two learning rates, one for the Q-matrix and one for the population distribution, we are able to design a single algorithm which learns the optimal policies for the MFG or for the MFC depending on the ratio of these two rates. Applications to problems in finance are also discussed. Joint work with Andrea Angiuli and Mathieu Laurière. Bio: Jean-Pierre Fouque (Ph.D. in Mathematics, University Pierre et Marie Curie, Paris 6, 1979; http://fouque.faculty.pstat.ucsb.edu/) held positions at the CNRS and at the Ecole Polytechnique in France, before joining North Carolina State University in 1998 where he started the Masters of Financial Mathematics. Since 2006, he is Professor in the department of Statistics and Applied Probability at University of California Santa Barbara and Co-Director of the Center for Financial Mathematics and Actuarial Research (CFMAR) opened in 2006. His research is in the domain of random media with applications ranging from wave propagation phenomena to financial mathematics. He published over 100 research articles and co-authored three books*.He was a member of the Advisory Committee of the U.S. Office of Financial Research 2012-2015. He was Editor-in-Chief of the SIAM Journal on Financial Mathematics 2015-2020. Jean-Pierre Fouque is a Fellow of the Institute of Mathematical Statistics since 2009, a SIAM Fellow since 2011, and a Fellow of the Institute Louis Bachelier since 2021. "Derivatives in Financial Markets with Stochastic Volatility" (Cambridge University Press, 2000), "Wave Propagation and Time Reversal in Randomly Layered Media" (Springer, 2007), and "Multiscale Stochastic Volatility for Equity, Interest-Rate and Credit Derivatives" (Cambridge University Press, 2011). He co-edited the "Handbook on Systemic Risk" (CUP, 2013).