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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.

New Economics Papers: this item is included in nep-gth
Date: 2017-06, Revised 2017-09
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