Dataset: Bounded rational response equilibria in human sensorimotor interactions

The Nash equilibrium is one of the most central solution concepts to study strategic interactions between multiple players and has recently also been shown to capture sensorimotor interactions between players that are haptically coupled. While previous studies in behavioral economics have shown that systematic deviations from Nash equilibria in economic decision-making can be explained by the more general quantal response equilibria, such deviations have not been reported for the sensorimotor domain. Here we investigate haptically coupled dyads across three different sensorimotor games corresponding to the classic symmetric and asymmetric prisoner’s dilemma, where the quantal response equilibrium predicts characteristic shifts across the three games, although the Nash equilibrium stays the same. We find that subjects exhibit the predicted deviations from the Nash solution. Furthermore, we show that taking into account subjects’ priors for the games, we arrive at a more accurate description of bounded rational response equilibria that can be regarded as a quantal response equilibrium with non-uniform prior. Our results suggest that bounded rational response equilibria provide a general tool to explain sensorimotor interactions that include the Nash equilibrium as a special case in the absence of information processing limitations.纳什均衡（Nash equilibrium）是研究多参与者策略互动最为核心的解概念之一，近期研究还证实，该概念亦可用于刻画触觉耦合参与者间的感觉运动互动。此前行为经济学领域的研究表明，经济决策中系统性偏离纳什均衡的现象，可通过更具普适性的量化响应均衡（quantal response equilibria）予以解释，但感觉运动领域尚未见此类偏离的相关报道。本研究针对三类对应经典对称与非对称囚徒困境（prisoner’s dilemma）的感觉运动博弈，开展触觉耦合双人组实验。尽管三类博弈的纳什均衡保持一致，但量化响应均衡预测其行为会呈现特征性的策略偏移。实验结果显示，受试者的行为确实表现出与纳什均衡解的预期偏差。进一步研究发现，若将受试者针对博弈的先验分布纳入考量，可得到对有限理性响应均衡（bounded rational response equilibria）更为精准的描述——该均衡可被视为带有非均匀先验的量化响应均衡。本研究结果提示，有限理性响应均衡可作为解释感觉运动互动的通用工具，在不存在信息处理限制的场景下，纳什均衡可作为其特例被纳入该分析框架。