title: Random diffusion and cooperation in continuous two-dimensional space.
abstract: This work presents a systematic study of population games of the Prisoner's Dilemma, Hawk-Dove, and Stag Hunt types in two-dimensional Euclidean space under two-person, one-shot game-theoretic interactions, and in the presence of agent random mobility. The goal is to investigate whether cooperation can evolve and be stable when agents can move randomly in continuous space. When the agents all have the same constant velocity cooperation may evolve if the agents update their strategies imitating the most successful neighbor. If a fitness difference proportional is used instead, cooperation does not improve with respect to the static random geometric graph case. When viscosity effects set-in and agent velocity becomes a quickly decreasing function of the number of neighbors they have, one observes the formation of monomorphic stable clusters of cooperators or defectors in the Prisoner's Dilemma. However, cooperation does not spread in the population as in the constant velocity case.
authors: Information Systems Department, Faculty of Business and Economics, University of Lausanne, Switzerland. Electronic address: alberto.antonioni@unil.ch.
authors: Alberto
authors: A
authors: Antonioni
authors: Information Systems Department, Faculty of Business and Economics, University of Lausanne, Switzerland.
authors: Marco
authors: M
authors: Tomassini
authors: Information Systems Department, Faculty of Business and Economics, University of Lausanne, Switzerland.
authors: Pierre
authors: P
authors: Buesser
mesh_terms: D000818:Animals; D005075:Biological Evolution; D003299:Cooperative Behavior; D005716:Game Theory; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics
keywords: Evolution of cooperation; Mobility; Random diffusion; Spatial games