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arxiv: 1707.07078 · v3 · pith:B37P6BLWnew · submitted 2017-07-22 · 🧮 math.AP

Ergodic Mean Field Games with H\"ormander diffusions

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keywords fieldmeanclassgamegamesormandersolutionssystems
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We prove existence of solutions for a class of systems of subelliptic PDEs arising from Mean Field Game systems with H\"ormander diffusion. These results are motivated by the feedback synthesis Mean Field Game solutions and the Nash equilibria of a large class of $N$-player differential games.

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