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Games with coupled populations: An experiment in continuous time
Journal of Economic Theory ( IF 1.4 ) Pub Date : 2021-05-20 , DOI: 10.1016/j.jet.2021.105281
Volker Benndorf , Ismael Martínez-Martínez , Hans-Theo Normann

We propose a model of coupled population games where intra- and intergroup interactions overlap. We analyze the general class of symmetric 2×2 games with coupled replicator dynamics in this framework. Standard one- and two-population predictions extend to a total of ten regions with different sets of attractors, among them novel hybrid points where one population randomizes and the other plays a pure strategy. Building on the theoretical analysis, we run continuous-time laboratory experiments using 48 different variants of coupled games. Observations confirm the theory to a large extent, but we also find a number of systematic deviations. When the attractors' eigenvalues are smaller (in absolute terms), play converges to steady states located further from the prediction.



中文翻译:

人口耦合的游戏:连续时间的实验

我们提出了群体内和群体间相互作用重叠的耦合人口博弈模型。我们在此框架中分析了带有耦合复制器动力学的对称2×2游戏的一般类别。标准的一种群和二种群预测扩展到总共十个区域,这些区域具有不同的吸引子集,其中一个是新的混合点,一个种群是随机的,另一种群则是纯粹的策略。在理论分析的基础上,我们使用48种不同的配对游戏进行连续时间的实验室实验。观察结果在很大程度上证实了这一理论,但我们也发现了一些系统上的偏差。当吸引子的特征值较小时(绝对值),游戏会收敛到距离预测更远的稳态。

更新日期:2021-05-25
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