Spatialized Evolutionary prisoner's dilemma: Homogenization and propagation of chaos
Probability
2016-09-22 v2
Abstract
Epstein introduced an agent-based model called Demographic Prisoner's dilemma. He shows, via simulations, that cooperation in this spatial evolutionary repeated game can be sustained. In order to do proves, we put on this model a particle system framework in order to prove the convergence of the spatial model to a random matching model, using homogenization techniques. Then we prove the convergence of the random matching model to a mean field model, using propagation of chaos techniques.
Keywords
Cite
@article{arxiv.1609.05036,
title = {Spatialized Evolutionary prisoner's dilemma: Homogenization and propagation of chaos},
author = {Sylvain Gibaud},
journal= {arXiv preprint arXiv:1609.05036},
year = {2016}
}