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Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems

Yuzuru Sato·James P. Crutchfield
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Abstract

Starting with a group of reinforcement-learning agents we derive coupled replicator equations that describe the dynamics of collective learning in multiagent systems. We show that, although agents model their environment in a self-interested way without sharing knowledge, a game dynamics emerges naturally through environment-mediated interactions. An application to rock-scissors-paper game interactions shows that the collective learning dynamics exhibits a diversity of competitive and cooperative behaviors. These include quasiperiodicity, stable limit cycles, intermittency, and deterministic chaos--behaviors that should be expected in heterogeneous multiagent systems described by the general replicator equations we derive.

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Yuzuru Sato, James P. Crutchfield. 2002-08-18. Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems. https://doi.org/10.1103/physreve.67.015206

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