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arXiv · 1907.09785

An example of multiple mean field limits in ergodic differential games

Pierre Cardaliaguet·Catherine Rainer
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Abstract

We present an example of symmetric ergodic $N$-players differential games, played in memory strategies on the position of the players, for which the limit set, as $N\to +\infty$, of Nash equilibrium payoffs is large, although the game has a single mean field game equilibrium. This example is in sharp contrast with a result by Lacker [23] for finite horizon problems.

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Pierre Cardaliaguet, Catherine Rainer. 2019-07-23. An example of multiple mean field limits in ergodic differential games. https://arxiv.org/abs/1907.09785

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