Mixed Nash games and social optima for linear-quadratic forward-backward mean-field systems
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Publication:6588557
DOI10.3934/mcrf.2023038zbMath1545.49037MaRDI QIDQ6588557
Publication date: 16 August 2024
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
asymptotic optimalitybackward person-by-person optimalitydecentralized strategyforward-backward mean-field system
Linear-quadratic optimal control problems (49N10) Optimality conditions for problems involving randomness (49K45) Mean field games and control (49N80)
Cites Work
- Unnamed Item
- Linear-quadratic mean field games
- Adapted solution of a backward stochastic differential equation
- Mean field games
- Forward-backward stochastic differential equations and quasilinear parabolic PDEs
- Mean field control hierarchy
- Mean-field anticipated BSDEs driven by fractional Brownian motion and related stochastic control problem
- Social optima of backward linear-quadratic-Gaussian mean-field teams
- Risk-sensitive mean field games via the stochastic maximum principle
- Backward-forward linear-quadratic mean-field games with major and minor agents
- Linear quadratic optimal control problems for mean-field backward stochastic differential equations
- Backward stochastic differential equations and applications to optimal control
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Linear-Quadratic Control of Backward Stochastic Differential Equations
- Probabilistic Analysis of Mean-Field Games
- $\epsilon$-Nash Mean Field Game Theory for Nonlinear Stochastic Dynamical Systems with Major and Minor Agents
- Backward Mean-Field Linear-Quadratic-Gaussian (LQG) Games: Full and Partial Information
- Large-Population LQG Games Involving a Major Player: The Nash Certainty Equivalence Principle
- Control to Flocking of the Kinetic Cucker--Smale Model
- A Maximum Principle for Partial Information Backward Stochastic Control Problems with Applications
- Backward Stochastic Differential Equations in Finance
- Linear quadratic mean field game with control input constraint
- Linear-Quadratic-Gaussian Mixed Mean-Field Games with Heterogeneous Input Constraints
- The Maximum Principles for Stochastic Recursive Optimal Control Problems Under Partial Information
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- State Estimation for the Individual and the Population in Mean Field Control With Application to Demand Dispatch
- Social Optima in Mean Field LQG Control: Centralized and Decentralized Strategies
- Nonlinear Stochastic Differential Games Involving a Major Player and a Large Number of Collectively Acting Minor Agents
- Cooperative Stochastic Differential Games
- Mixed Social Optima and Nash Equilibrium in Linear-Quadratic-Gaussian Mean-Field System
- Linear-quadratic-Gaussian mean-field controls of social optima
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