Tournament winners for different rankings and selection strengths.

We summarize our static results by showing the tournament’s winner for various costs and selection strengths, with respect to the four different rankings (i) number of wins, (ii) score, (iii) self payoff, and (iv) combined score. Memory-1 strategies typically obtain the highest self-payoff. However, they only succeed in the other rankings when cooperation is cheap (small c) and when selection is sufficiently strong (large β).