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arxiv: 2108.00755 · v2 · pith:DBMZAA3Enew · submitted 2021-08-02 · 🧮 math.OC · math.AP

Rates of convergence for the policy iteration method for Mean Field Games systems

classification 🧮 math.OC math.AP
keywords convergenceiterationmethodpolicyfieldgamesmeanrate
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Convergence of the policy iteration method for discrete and continuous optimal control problems holds under general assumptions. Moreover, in some circumstances, it is also possible to show a quadratic rate of convergence for the algorithm. For Mean Field Games, convergence of the policy iteration method has been recently proved in [9]. Here, we provide an estimate of its rate of convergence.

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