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arXiv · 1811.02811

Remarks on Nash equilibria in mean field game models with a major player

Pierre Cardaliaguet·Marco Cirant·Alessio Porretta
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Abstract

For a mean field game model with a major and infinite minor players, we characterize a notion of Nash equilibrium via a system of so-called master equations, namely a system of nonlinear transport equations in the space of measures. Then, for games with a finite number N of minor players and a major player, we prove that the solution of the corresponding Nash system converges to the solution of the system of master equations as N tends to infinity.

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Pierre Cardaliaguet, Marco Cirant, Alessio Porretta. 2018-11-07. Remarks on Nash equilibria in mean field game models with a major player. https://arxiv.org/abs/1811.02811

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