(a) Payoff matrix of the stag hunt game. (b and c) Average payoffs of the hare, EHare(u), and stag, EStag(u), against p under (b) (w = 5, a = 2, b = 1, c = 0, d = 4) and against w under (c) (p = 0.5, a = 2, b = 1, c = 0, d = 4). For comparison, the payoffs of the hare (red dashed line) and stag (blue dashed line) in the traditional game are included. (d) Phase diagram of current wealth, w, and the hare frequency, p, under a = 2, b = 1, c = 0 and d = 4. Outcomes (superiority) depend on the difference in dynamic utility EHare(u) – EStag(u): Stag (blue), hare (red). A poor player chooses the sure gain of a small hare instead of an uncertain large stag.