The Evolution of Cooperation in a Mobile Population on Random Networks: Network Topology Matters Only for Low-Degree Networks

Igor V. Erovenko () and Mark Broom
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Igor V. Erovenko: University of North Carolina at Greensboro
Mark Broom: University of London

Dynamic Games and Applications, 2025, vol. 15, issue 5, No 3, 1564-1586

Abstract: Abstract We consider a finite structured population of mobile individuals that strategically explore a network using a Markov movement model and interact with each other via a public goods game. We extend the model of Erovenko et al. (Proc R Soc A: Math Phys Eng Sci 475(2230):20190399, 2019) from complete, circle, and star graphs to various random networks to further investigate the effect of network topology on the evolution of cooperation. We discover that the network topology affects the outcomes of the evolutionary process only for networks of small average degree. Once the degree becomes sufficiently high, the outcomes match those for the complete graph. The actual value of the degree when this happens is much smaller than that of the complete graph, and the threshold value depends on other network characteristics.

Keywords: Evolution of cooperation; Evolutionary graph theory; Network topology; Public goods game; Random networks (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13235-024-00572-9

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