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We study a family of mean field games with a state variable evolving as a multivariate jump diffusion process.
“Représentation des processus ponctuels multivariés à l’aide d’un processus de Poisson”
N. El and J.-P. Lepeltier · 1977
Earlier work this paper cites.
“Quelques remarques sur un nouveau type d’équations différentielles stochastiques”
J. Jacod and P.. Protter · 1982
Earlier work this paper cites.
“Martingale measures and stochastic calculus”
N. El and S. Méléard · 1990
Earlier work this paper cites.
“Stochastic integration and stochastic differential equations: a new approach”
P.. Protter · 1990
Earlier work this paper cites.
“McKean-Vlasov Itô-Skorohod equations, and nonlinear diffusions with discrete jump sets”
C. Graham · 1992
Earlier work this paper cites.
“Averaging for martingale problems and stochastic approximation”
Thomas Kurtz · 1992
Earlier work this paper cites.
“Existence of Markov controls and characterization of optimal Markov controls”
T.. Kurtz and R.. Stockbridge · 1998
Earlier work this paper cites.
“Controlled diffusion processes”
Vivek Borkar · 2005
Earlier work this paper cites.
“Infinite dimensional analysis: a hitchhiker’s guide”
C.. Aliprantis and K. Border · 2006
Earlier work this paper cites.
“Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle”
M. Huang, R.. Malhamé and P.. Caines · 2006
Earlier work this paper cites.
“Foundations of modern probability”
Olav Kallenberg · 2006
Earlier work this paper cites.
“Jeux à champ moyen. I. Le cas stationnaire”
J.-M. Lasry and P.-L. Lions · 2006
Earlier work this paper cites.
“Jeux à champ moyen. II. Horizon fini et contrôle optimal”
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J.-M. Lasry and P.-L. Lions · 2007
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“Proofs of the martingale FCLT”
W. Whitt · 2007
Cited alongside, same era.
“Gradient flows: in metric spaces and in the space of probability measures”
L. Ambrosio, N. Gigli and G. Savaré · 2008
Cited alongside, same era.
“Nonlinear SDEs driven by Lévy processes and related PDEs”
B. Jourdain, S. Méléard and W. Woyczynski · 2008
Cited alongside, same era.
“Mimicking the marginal distributions of a semimartingale”
A. Bentata and R. Cont · 2009
“Probabilistic analysis of mean-field games”
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Later among the works it cites.
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Later among the works it cites.
“Continuous time finite state mean field games”
D. Gomes, J. Mohr and R.. Souza · 2013
Later among the works it cites.
“On mean-field stochastic maximum principle for near-optimal controls for Poisson jump diffusion with applications”
M. Hafayed, A. Abba and S. Abbas · 2014
Later among the works it cites.
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R. Carmona, J.-P. Fouque and L.-H. Sun · 2015
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R. Carmona and D. Lacker · 2015
Later among the works it cites.
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D. Lacker · 2015
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