Guerillas plan on attacking a police compound. Assume the size of the guerilla force is m, and the size of the police force is n. Further assume they are using the same weaponry.

If the size of the guerilla force is larger than the police force, the guerillas win (m > n). The police win if the police are greater in numbers than or equal to twice the guerilla force (n ≥2m). We need to see what happens when the police force is between the size of the guerilla force and twice the size of the guerrilla force (m≤ n< 2m). Build the payoff matrices and discuss.