Equilibrium Selection and Strategy: Experimental Evidence from an Infinitely Repeated Transboundary Public Goods Game

Tetsuya Kawamura, Tsz Kwan Tse
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Abstract

We design a transboundary public goods (TPG) game, in which participants have simultaneous interaction within and between groups. We design the TPG game under an infinitely repeated situation in order to explore the types of strategies that participants employ in infinitely repeated games. We theoretically identify a condition in which the grim-trigger strategy is supported as a strategy minimizing strategic risk in the TPG game. We experimentally investigate the types of strategies by eliciting all possible one-period-ahead strategy choices using the strategy method. We replicate the history of the game by simulation and classify the strategies using the affinity propagation clustering method. We find that the frequency of strategies in cooperative clusters is higher in the treatment with high continuation probability than that with low continuation probability. We find that participants employ strategies minimizing strategic risk in an infinitely repeated TPG game.
均衡选择与策略:来自无限重复跨界公共物品博弈的实验证据
我们设计了一个跨界公共产品(TPG)游戏,参与者可以同时在群体内部和群体之间进行互动。我们在一个无限重复的情境下设计TPG博弈是为了探索参与者在无限重复博弈中所采用的策略类型。我们从理论上确定了一个条件,在这个条件下,严峻触发策略被支持为TPG博弈中最小化战略风险的策略。我们利用策略方法引出了所有可能的一周期前策略选择,并对策略类型进行了实验研究。我们通过模拟来复制博弈的历史,并使用亲和传播聚类方法对策略进行分类。我们发现,在高延续概率处理下,合作集群的策略频率高于低延续概率处理下的策略频率。我们发现,在一个无限重复的TPG博弈中,参与者采用最小化战略风险的策略。
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