Both conventional wisdom and empirical evidence suggests that arranging a prior commitment or agreement before an interaction enhances the chance of reaching mutual cooperation. Yet it is not clear what mechanisms can promote the participation in and compliance with such a commitment, especially when the former is costly and deviating from the latter is profitable. Prior work either considers regimented commitments where compensation is assumed enforceable from dishonest committers, or assume implicit commitments from every individual (so they are all in and thus being treated as such). Here we develop a theory of participation and compliance with respect to an explicit prior commitment under institutional incentives where individuals, at first, decide whether or not to join a cooperative agreement to play a one-shot social dilemma game. Using a mathematical model, we determine when participating in a costly commitment and complying with it, is an evolutionary stable strategy (ESS) when playing against all other possible strategies, and results in high levels of cooperation in the population. We show that, given a sufficient budget for providing incentives, reward of commitment compliant behaviours better promotes cooperation than punishment of non-compliant ones. Moreover, by sparing part of this budget for rewarding those who are willing to participate in a commitment, the overall frequency of cooperation can be significantly enhanced, for both reward and punishment. Finally, we find that, surprisingly, the presence of errors in a participation decision favours evolutionary stability of commitment compliant strategies and higher levels of cooperation.
翻译:常规智慧和经验证据表明,在互动之前安排事先承诺或协议会增加实现相互合作的机会;然而,尚不清楚哪些机制能促进参与和遵守这种承诺,特别是在前者代价高昂,偏离后者有利可图的情况下; 先前的工作要么考虑在作出赔偿时由不诚实的承付者承担义务,要么承担每个人的默示承诺(因此,所有这些承诺都处于并因此被视为此种承诺); 我们在这里发展了一种参与和遵守在机构激励下明确承诺的理论,即参与和遵守事先承诺,首先由个人决定是否加入合作协议以玩一球的社会两难游戏; 使用一种数学模型,我们确定在参与代价高昂的承诺并遵守承诺时,是一项渐进式的稳定战略; 在与所有其他可能的战略作斗争时,并导致民众的高度合作; 我们表明,如果有足够的预算来提供奖励、奖励遵守承诺的行为比惩罚不遵守承诺者更能促进合作; 此外,通过保留部分预算来奖励那些愿意参加承诺的人,那么合作的总体频率和遵守承诺的程度就会大大提高; 最终,我们发现,在遵守承诺方面,参与程度和遵守承诺的程度会大大增强。