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arxiv: 1403.6324 · v1 · pith:HUSDHPFPnew · submitted 2014-03-25 · 🧮 math.OC · math.PR

A characterization of sub-game perfect Nash equilibria for SDEs of mean field type

classification 🧮 math.OC math.PR
keywords fieldmeannashperfecttypeapproachcharacterizationcharacterize
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We study a class of dynamic decision problems of mean field type with time inconsistent cost functionals, and derive a stochastic maximum principle to characterize subgame perfect Nash equilibrium points. Subsequently, this approach is extended to a mean field game to construct decentralized strategies and obtain an estimate of their performance.

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