On exploring the genetic algorithm for modeling the evolution of cooperation in a population |
| |
Affiliation: | 1. School of Mathematics and Computer Science, Fujian Normal University, 350007 Fuzhou, PR China;2. Department of Mathematics, Shanghai Normal University, 200234 Shanghai, PR China;1. School of Business Administration, Shanghai Finance University, Shanghai 201209, China;2. College of Information Technology, Shanghai Ocean University, Shanghai 201306, China;3. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
| |
Abstract: | In this paper, we propose a genetic algorithm approximation for modeling a population which individuals compete with each other based on prisoner’s dilemma game. Players act according to their genome, which gives them a strategy (phenotype); in our case, a probability for cooperation. The most successful players will produce more offspring and that depends directly of the strategy adopted. As individuals die, the newborns parents will be those fittest individuals in a certain spatial region. Four different fitness functions are tested to investigate the influence in the evolution of cooperation. Individuals live in a lattice modeled by probabilistic cellular automata and play the game with some of their neighborhoods. In spite of players homogeneously distributed over the space, a mean-field approximation is presented in terms of ordinary differential equations. |
| |
Keywords: | Evolution of cooperation Cellular automata Game theory Genetic algorithm Prisoner’s dilemma |
本文献已被 ScienceDirect 等数据库收录! |
|