Mate choice mechanism for solving a quasi-dilemma

Sajio et al. (2015) showed that the mate choice mechanism for a symmetric prisoner's dilemma (PD) game implements cooperation in backward elimination of weakly dominated strategies (BEWDS), and it attained almost full cooperation in their experiment. This study theoretically shows, first, that this mechanism works well in the class of quasi-dilemma (QD) games, such as asymmetric PD games and coordination games. Second, the class of BEWDS-implementable games is exactly the same as the class of QD games. Third, the mechanism cannot implement cooperation in a subgame perfect equilibrium. Finally, we confirm that the mate choice mechanism works well experimentally for an asymmetric PD game.