Mean field games: A toy model on an Erdös-Renyi graph.
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Publication:4606426
DOI10.1051/proc/201760001zbMath1407.91054OpenAlexW2592169312MaRDI QIDQ4606426
Publication date: 7 March 2018
Published in: ESAIM: Proceedings and Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/proc/201760001
Random graphs (graph-theoretic aspects) (05C80) Differential games (aspects of game theory) (91A23) Games involving graphs (91A43) Games with infinitely many players (91A07)
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Cites Work
- Unnamed Item
- A general characterization of the mean field limit for stochastic differential games
- Mean field games. II: Finite horizon and optimal control
- Mean field games
- On the existence and uniqueness of solutions to FBSDEs in a non-degenerate case.
- Mean field games and systemic risk
- Numerical method for FBSDEs of McKean-Vlasov type
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Non-cooperative games
- Probabilistic Analysis of Mean-Field Games
- Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- Mean Field Games and Mean Field Type Control Theory
- Probabilistic Theory of Mean Field Games with Applications I
- Equilibrium points in n -person games
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