# An Algorithmic Solution to the Blotto Game using Multi-marginal Couplings

@article{Perchet2022AnAS, title={An Algorithmic Solution to the Blotto Game using Multi-marginal Couplings}, author={Vianney Perchet and Philippe Rigollet and Thibaut Le Gouic}, journal={Proceedings of the 23rd ACM Conference on Economics and Computation}, year={2022} }

A century ago, Emile Borel published his seminal paper on the theory of play and integral equations with skew-symmetric kernels[1]. Borel describes what is now called the Blotto game: a resource-allocation game in which two players compete for over n different battlefields by simultaneously allocating resources to each battlefield. The following two additional characteristics are perhaps the most salient features of the Blotto game: Winner-takes-all: For each battlefield, the player allocating…

## 3 Citations

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This work presents the ﬁrst known ǫ -approximation algorithm to compute NE strategies in the two-player Colonel Blotto game in runtime e O ( ǵ − 4 k 8 max { a, b } 2 ) for arbitrary settings of these parameters, and shows that sampling from such distributions can be used to solve zero-sum games that are exponential in size.

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