How Lévy Flights Triggered by the Presence of Defectors Affect Evolution of Cooperation in Spatial Games
Open Access
- 1 May 2023
- journal article
- research article
- Published by MIT Press in Artificial Life
- Vol. 29 (2), 187-197
- https://doi.org/10.1162/artl_a_00382
Abstract
Cooperation among individuals has been key to sustaining societies. However, natural selection favors defection over cooperation. Cooperation can be favored when the mobility of individuals allows cooperators to form a cluster (or group). Mobility patterns of animals sometimes follow a Lévy flight. A Lévy flight is a kind of random walk but it is composed of many small movements with a few big movements. The role of Lévy flights for cooperation has been studied by Antonioni and Tomassini, who showed that Lévy flights promoted cooperation combined with conditional movements triggered by neighboring defectors. However, the optimal condition for neighboring defectors and how the condition changes with the intensity of Lévy flights are still unclear. Here, we developed an agent-based model in a square lattice where agents perform Lévy flights depending on the fraction of neighboring defectors. We systematically studied the relationships among three factors for cooperation: sensitivity to defectors, the intensity of Lévy flights, and population density. Results of evolutionary simulations showed that moderate sensitivity most promoted cooperation. Then, we found that the shortest movements were best for cooperation when the sensitivity to defectors was high. In contrast, when the sensitivity was low, longer movements were best for cooperation. Thus, Lévy flights, the balance between short and long jumps, promoted cooperation in any sensitivity, which was confirmed by evolutionary simulations. Finally, as the population density became larger, higher sensitivity was more beneficial for cooperation to evolve. Our study highlights that Lévy flights are an optimal searching strategy not only for foraging but also for constructing cooperative relationships with others.This publication has 33 references indexed in Scilit:
- Adaptive long-range migration promotes cooperation under tempting conditionsScientific Reports, 2013
- Evolutionary dynamics of group interactions on structured populations: a reviewJournal of The Royal Society Interface, 2013
- Emergence of social cohesion in a model society of greedy, mobile individualsProceedings of the National Academy of Sciences of the United States of America, 2011
- The outbreak of cooperation among success-driven individuals under noisy conditionsProceedings of the National Academy of Sciences of the United States of America, 2009
- Random mobility and spatial structure often enhance cooperationJournal of Theoretical Biology, 2009
- Does mobility decrease cooperation?Journal of Theoretical Biology, 2007
- Five Rules for the Evolution of CooperationScience, 2006
- Evolution of cooperation by multilevel selectionProceedings of the National Academy of Sciences of the United States of America, 2006
- A simple rule for the evolution of cooperation on graphs and social networksNature, 2006
- Know when to walk away: contingent movement and the evolution of cooperationJournal of Theoretical Biology, 2004