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

We analyze a Colonel Blotto game in which opposing parties have differing relative intensities. In other words, the game is non‐zero sum because colonels have asymmetric and heterogeneous battlefield valuations. 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.