For stochastic linear-quadratic differential games, the authors construct an alpha-potential function, bound the approximation parameter by model coefficients and control radius, and reduce minimization to a finite-dimensional LQ control problem.
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An $\alpha$-Potential Game Approach to $N$-Player Stochastic Linear-Quadratic Differential Games
For stochastic linear-quadratic differential games, the authors construct an alpha-potential function, bound the approximation parameter by model coefficients and control radius, and reduce minimization to a finite-dimensional LQ control problem.