Effect of mixed random and directional migration on cooperation in the spatial prisoner’s dilemma

Lan Zhang, Jianchen Pan and Changwei Huang

Chaos, Solitons & Fractals, 2023, vol. 172, issue C

Abstract: The migration behavior of the population plays a significant role in the evolution of cooperation in spatial games. During the migration process, individuals may be affected by uncertain and irrational factors, and these will affect their direction of migration. In previous studies, the migration direction has been determined either entirely randomly or using entirely deterministic factors, referred to as random and directional migration, respectively. However, in real-world situations, a mixture of both random and deterministic factors will be included in individuals’ migration decisions. In this work, we examined the effects of a mixture of directional and random migration on cooperation. In our model, for the directional migration, the average migration direction of an individual’s neighbors is used. We then introduce the parameter α to adjust the proportion of directional and random migration. The results show that a small value of α and a lower speed are beneficial to cooperation. Furthermore, we find that there is always an optimal range of α that will best promote the evolution of cooperation. We explain these phenomena based on time series of the cooperation level and the order parameter, and spatial population snapshots. We also investigate the effects of the interaction radius between individuals and population density on the evolution of cooperation. The robustness of this migration mode is further verified with respect to another game model, and we find that the conclusions remain the same.

Keywords: Cooperation; Migration; Prisoner’s dilemma (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923004411
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004411

DOI: 10.1016/j.chaos.2023.113540

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().