Figure 1
(i) This is the case where player A aims at the strongest opponent, and (ii) this is the case when play A adopts a strategy of abstention by shooting in the air during a sequential truel. 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. The game is simulated for one million rounds for each possible combination of a and b when \(0\le a\le b\le 1\) with step size of 0.001. The result is remarkable in that player A’s parameter space for survival is dramatically increased by abstention rather than firing at the strongest opponent. The colour bar represents the chance of survival.
