Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The determinacy of infinite games with eventual perfect monitoring   n infinite two-player zero-sum game with a Borel winning set, in which the
opponent's actions are monitored eventually but not necessarily immediately
after they are played, is determined. The proof relies on a representation of
the game as a stochastic game with perfect information, in which Chance
operates as a delegate for the players and performs the randomizations for
them, and on Martin's Theorem about the determinacy of such games.

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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th