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Co-evolution mechanism in networked snowdrift game with large connection range

Yaojun Liu, Xingwen Liu, Xin Han and Kai Xie

Physica A: Statistical Mechanics and its Applications, 2025, vol. 675, issue C

Abstract: Interactive networks play an important role in evolution of cooperation. Compared to traditional game performed on static network, co-evolutionary game models can capture the dynamic interactive connection between players. Aiming to depict more realistic network dynamics, we propose a co-evolutionary game model that incorporates three features describing the entire connection updating process: (1) Selection range adjustment, expanding or reducing players’ neighbor selection ranges based on their payoffs; (2) Preferential selection, favoring connection with the most successful players while severing connection with low-payoff player with a certain probabilities; (3) Mutual connection willingness, requiring the consent of both players for new connections. Note that these features jointly facilitate the appearance of large connection range, which frequently emerges in real-world systems. Experimental results show that the proposed mechanism can drastically enhance cooperation level of snowdrift game with wide ranges of all parameters. More interestingly, the co-evolution process reveals how a scale-free network evolves from the initial lattice structure, providing new insights into realistic co-evolution dynamics. It is also shown that large connection ranges are essential for both high-level cooperation and scale-free network emergence.

Keywords: Co-evolution; Cooperation; Large connection range; Scale-free networks; Snowdrift games (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:675:y:2025:i:c:s0378437125004510

DOI: 10.1016/j.physa.2025.130799

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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