The Influence of Environment Based Autonomous Mobility on the Evolution of Cooperation

Migration is an important feature of natural society. In real life, people will judge whether to migrate according to their satisfaction with the environment. This paper assumes that for a defector, when the number of cooperators in his neighbor fails to meet his expectation, he will choose to migrate, and for a cooperator, when the number of defectors in his neighbor exceeds his tolerance, he will choose to migrate. Results show that when the defectors have high requirements on the environment and are easy to move, if the cooperators have no requirements on the environment and do not move, for any population density, the system will eventually be all cooperators; if the cooperators choose to migrate when their neighbors are full of defectors, the system will eventually be all cooperators at the low population density, and with the increase of population density, the proportion of cooperation will decrease, showing a state of coexistence of cooperation and defection. However, when the defectors have no requirements on the environment and do not move, the cooperators have high requirements on the environment that move as long as there are defectors in their neighbors, for all population densities, cooperation and defection always coexist in the system, and there exists a population density, which maximizes the proportion of cooperation. That is to say, when cooperators and defectors one have high environmental requirements and the other have low requirements, it is conducive to cooperation.