Games With Coupled Populations: An Experiment in Continuous Time
56 Pages Posted: 17 Nov 2018 Last revised: 24 Apr 2021
Date Written: November 1, 2019
Abstract
We propose a model of coupled population games where intra- and intergroup interactions overlap. We analyze the general class of symmetric 2x2 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.
Keywords: equilibrium selection, population games, continuous-time experiment
JEL Classification: C62, C72, C73, C92
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