Figure 3

(i) Suicidal strategy in a sequential truel. In this case, there is no possible highest probability region for player A. (ii) The strategy when A randomly switches between suicidal and shooting in the air strategies. Different areas (A, B, and C) show regions in the parameter space (b, c), setting \(c=1\), in which each player has the highest probability of survival. One million rounds of the game are simulated for each possible combination of a and b when \(0\le a\le b\le 1\) with step size of 0.001. The colour bar represents the chance of survival.