A Partial Solution to Continuous Blotto

Kostyantyn Mazur

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arXiv · 1706.08479

A Partial Solution to Continuous Blotto

Kostyantyn Mazur

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Abstract

This paper analyzes the structure of mixed-strategy equilibria for Colonel Blotto games, where the outcome on each battlefield is a polynomial function of the difference between the two players' allocations. This paper severely reduces the set of strategies that needs to be searched to find a Nash equilibrium. It finds that there exists a Nash equilibrium where both players' mixed strategies are discrete distributions, and it places an upper bound on the number of points in the supports of these discrete distributions.

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econ.GN cs.GT math.GN q-fin.EC

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Kostyantyn Mazur. 2017-06-07. A Partial Solution to Continuous Blotto. https://arxiv.org/abs/1706.08479

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