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Mean field games of controls: On the convergence of Nash equilibria
16 references·1 citing·31 second hop
Mean field games of controls: On the convergence of Nash equilibria (2023)Mean field games of controls: On the conv…The Master Equation and the Convergence Problem in Mean Field Games (2019)The Master Equation and the C…Probabilistic Theory of Mean Field Games with Applications II (2018)Probabilistic Theory of Mean …Probabilistic Theory of Mean Field Games with Applications I (2018)Probabilistic Theory of Mean …On the connection between symmetric $N$-player games and mean field games (2017)On the connection between sym…Mean field game of controls and an application to trade crowding (2017)Mean field game of controls a…Limit Theory for Controlled McKean--Vlasov Dynamics (2017)Limit Theory for Controlled M…Mean field games with common noise (2016)Mean field games with common …Mean field games via controlled martingale problems: Existence of Markovian equilibria (2015)Mean field games via controll…A probabilistic weak formulation of mean field games and applications (2015)A probabilistic weak formulat…A general characterization of the mean field limit for stochastic differential games (2015)A general characterization of…On the existence of classical solutions for stationary extended mean field games (2014)On the existence of classical…Mean field games (2007)Mean field gamesLarge population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle (2006)Large population stochastic d…Jeux à champ moyen. I – Le cas stationnaire (2006)Jeux à champ moyen. I – Le ca…Compactification methods in the control of degenerate diffusions: existence of an optimal control (1987)Compactification methods in t…Mimicking the one-dimensional marginal distributions of processes having an ito differential (1986)Mimicking the one-dimensional…Closed-loop convergence for mean field games with common noise (2023)Closed-loop convergence for m…Controlled Diffusion Processes (1980)Existence of Markov Controls and Characterization of Optimal Markov Controls (1998)ASYMPTOTICS OF IMPLIED VOLATILITY IN LOCAL VOLATILITY MODELS (2010)The Skorokhod Embedding Problem and Model-Independent Bounds for Option Prices (2010)On the uniqueness of solutions of stochastic differential equations (1971)Dynamic Programming for Optimal Control of Stochastic McKean--Vlasov Dynamics (2017)Mean field and n‐agent games for optimal investment under relative performance criteria (2019)Dynamic Noncooperative Game Theory (1982)The Theory of Learning in Games (1998)Games with Incomplete Information Played by “Bayesian” Players, I–III: Part I. The Basic Model (2004)A Maximum Principle for SDEs of Mean-Field Type (2010)Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations (2013)Mean Field Games Models—A Brief Survey (2013)Markets with a Continuum of Traders (1964)Jeux à champ moyen. II – Horizon fini et contrôle optimal (2006)Mean Field Games and Applications (2010)Probabilistic Analysis of Mean-Field Games (2013)The Pricing of Options and Corporate Liabilities (1973)Theory of Rational Option Pricing (1973)Continuous Auctions and Insider Trading (1985)Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach (2021)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Stochastic Differential Equations and Diffusion Processes (1983)Ergodic Control of Diffusion Processes (2011)Optimal execution of portfolio transactions (2001)A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems (2019)Operational Research: methods and applications (2023)On the convergence of closed-loop Nash equilibria to the mean field game limit (2020)Mean Field Games (2017)Mean Field Games and Applications: Numerical Aspects (2020)Well-posedness of distribution dependent SDEs with singular drifts (2021)
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References

  • 2007Mean field games2,638 cited
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  • 2006Jeux à champ moyen. I – Le cas stationnaire965 cited
  • 2018Probabilistic Theory of Mean Field Games with Applications II576 cited
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  • 1986Mimicking the one-dimensional marginal distributions of processes having an ito differential305 cited
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  • 2017Mean field game of controls and an application to trade crowding212 cited
  • 2016Mean field games with common noise204 cited
  • 2019The Master Equation and the Convergence Problem in Mean Field Games198 cited
  • 2015A probabilistic weak formulation of mean field games and applications178 cited
  • 2015A general characterization of the mean field limit for stochastic differential games176 cited
  • 2017Limit Theory for Controlled McKean--Vlasov Dynamics139 cited
  • 2014On the existence of classical solutions for stationary extended mean field games138 cited
  • 2017On the connection between symmetric $N$-player games and mean field games

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134 cited
  • 2015Mean field games via controlled martingale problems: Existence of Markovian equilibria128 cited
  • Cited by

    • 2023Closed-loop convergence for mean field games with common noise26 cited