Published May 2010 | Submitted
Working Paper Open

Pure strategy Nash equilibria in non-zero sum colonel Blotto games

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Abstract

We analyze a Colonel Blotto game in which opposing parties have differing relative intensities (i.e. the game is non-zero sum). We characterize the colonels' payoffs that sustain a pure strategy equilibrium and present an algorithm that reaches the equilibrium actions (when they exist). Finally we show that the set of games with a pure strategy equilibria is non-empty.

Additional Information

We thank Antonio Cabrales and Antoni Rubi for helpful comments.

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August 19, 2023
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