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arxiv: 1603.06071 · v3 · pith:MSN5M7KNnew · submitted 2016-03-19 · 🧮 math.PR · math.OC

Optimal control and zero-sum stochastic differential game problems of mean-field type

classification 🧮 math.PR math.OC
keywords controldifferentialmean-fieldtypeexistencegameoptimalstochastic
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We establish existence of nearly-optimal controls, conditions for existence of an optimal control and a saddle-point for respectively a control problem and zero-sum differential game associated with payoff functionals of mean-field type, under dynamics driven by weak solutions of stochastic differential equations of mean-field type.

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