Efficiency and compromise: a bid-offer-counteroffer mechanism with two players

A bid-offer-counteroffer mechanism is proposed to solve a fundamental two-person decision choice problem with two alternatives. It yields a unique subgame perfect equilibrium outcome, and leads to an intuitive overall solution that offers a reconciliation between egalitarianism and utilitarianism. We then investigate the axiomatic foundation of the solution. Furthermore, we compare it with several conventional strategic approaches to this setting.