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- W3118559982 abstract "This paper considers a nonlinear mean field social optimization problem which aims to minimize a social cost. By use of a finite player model, we apply dynamic programming to formalize a person-by-person (PbP) optimality condition in a feedback form. This procedure leads to a new Hamilton-Jacobi-Bellman equation which involves differentiation with respect to probability measure and is called the master equation of social optimization. For the linear-quadratic (LQ) case, an explicit solution of the master equation is obtained." @default.
- W3118559982 created "2021-01-18" @default.
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- W3118559982 date "2020-12-14" @default.
- W3118559982 modified "2023-10-16" @default.
- W3118559982 title "Mean field social optimization: feedback person-by-person optimality and the master equation" @default.
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- W3118559982 doi "https://doi.org/10.1109/cdc42340.2020.9303898" @default.
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