Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems

Details Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems

2002-04-24

arxiv.org/abs/nlin/0204057v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

4 pages, 3 figures, http://www.santafe.edu/projects/CompMech/papers/credlmas.html; updated references, corrected typos, chan

Scientific paper

10.1103/PhysRevE.67.015206

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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