Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence to the Mean Field Game Limit: A Case Study   We study the convergence of Nash equilibria in a game of optimal stopping. If
the associated mean field game has a unique equilibrium, any sequence of
$n$-player equilibria converges to it as $n\to\infty$. However, both the finite
and infinite player versions of the game often admit multiple equilibria. We
show that mean field equilibria satisfying a transversality condition are limit
points of $n$-player equilibria, but we also exhibit a remarkable class of mean
field equilibria that are not limits, thus questioning their interpretation as
"large $n$" equilibria.

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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph