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arxiv: 1612.01877 · v1 · pith:MRK5H3YPnew · submitted 2016-12-06 · 🧮 math.OC

Stable solutions in potential mean field game systems

classification 🧮 math.OC
keywords fieldmeangamesolutionspotentialstableattractorsexist
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We introduce the notion of stable solution in mean field game theory: they are locally isolated solutions of the mean field game system. We prove that such solutions exist in potential mean field games and are local attractors for learning procedures.

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