Numerical Simulation of the Evolution of Behavioral Strategies in Network Structures

Abstract

A model of the evolution of behavioral strategies in social networks with an arbitrary topology is proposed. The model is formalized as a discrete dynamical system on a graph, which defines the scheme of possible interactions between the system’s elements. Typical evolutionary scenarios are described at the qualitative level. A simple generalization of the model, which allows modeling the evolution of the graph’s topology induced by the system’s dynamics, is discussed. Applications of the proposed model to the problem of simulating corruption (unethical behavior) are considered.