Pure strategy Nash equilibria in non-zero sum colonel Blotto games
Hortala-Vallve, R.
& Llorente-Saguer, A.
(2012).
Pure strategy Nash equilibria in non-zero sum colonel Blotto games.
International Journal of Game Theory,
41(2), 331-343.
https://doi.org/10.1007/s00182-011-0288-4
& Llorente-Saguer, A.
(2012).
Pure strategy Nash equilibria in non-zero sum colonel Blotto games.
International Journal of Game Theory,
41(2), 331-343.
https://doi.org/10.1007/s00182-011-0288-4
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.