Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Multiplayer Colonel Blotto Game   We initiate the study of the natural multiplayer generalization of the
classic continuous Colonel Blotto game. The two-player Blotto game, introduced
by Borel as a model of resource competition across $n$ simultaneous fronts, has
been studied extensively for a century and seen numerous applications
throughout the social sciences. Our work defines the multiplayer Colonel Blotto
game and derives Nash equilibria for various settings of $k$ (number of
players) and $n$. We also introduce a "Boolean" version of Blotto that becomes
interesting in the multiplayer setting. The main technical difficulty of our
work, as in the two-player theoretical literature, is the challenge of coupling
various marginal distributions into a joint distribution satisfying a strict
sum constraint. In contrast to previous works in the continuous setting, we
derive our couplings algorithmically in the form of efficient sampling
algorithms.

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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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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: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg