Replicator Dynamics of Co-Evolving Networks

Details Replicator Dynamics of Co-Evolving Networks Replicator Dynamics of Co-Evolving Networks

2011-07-26

arxiv.org/abs/1107.5354v1

Computer Science

Computer Science and Game Theory

AAAI Complex Adaptive System Symposium, 2010

Scientific paper

We propose a simple model of network co-evolution in a game-dynamical system of interacting agents that play repeated games with their neighbors, and adapt their behaviors and network links based on the outcome of those games. The adaptation is achieved through a simple reinforcement learning scheme. We show that the collective evolution of such a system can be described by appropriately defined replicator dynamics equations. In particular, we suggest an appropriate factorization of the agents' strategies that results in a coupled system of equations characterizing the evolution of both strategies and network structure, and illustrate the framework on two simple examples.

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