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Unfixed-neighbor-mechanism promotes cooperation in evolutionary snowdrift game on lattice

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  • Hu, Xiang
  • Liu, Xingwen

Abstract

Addressed in this paper is the issue of how to promote cooperation among selfish individuals by changing the number of interactive neighbors in the evolutionary snowdrift game on a square lattice. Quite a few mechanisms that promoted cooperation in evolutionary games have been reported. It was usually assumed in past literature that each player had fixed neighbors to interact. However, such an assumption is inconsistent with most actual situations in society since the neighbors of each individual are not fixed in real life. Therefore, this paper takes into account a relatively realistic situation where each player has own potential neighbors and, in each round, has interactive neighbors randomly selected from potential neighbors. That is, for each player, its interactive neighbors in any round may be different from those in the next round. So interactive neighbors of each individual are unfixed. The results of Monte Carlo simulations reveal that compared with traditional fixed-neighbor-mechanism (FNM), the unfixed-neighbor-mechanism (UFNM) can lead to a higher level of cooperation in a larger range for both of the Fermi update and proportional update. In general, due to introducing the UFNM in snowdrift game, the number of interactive neighbors may be less than fixed neighbors in whole evolutionary process and thus the game cost is reduced. Therefore this modified mechanism has potential role in social management.

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  • Hu, Xiang & Liu, Xingwen, 2021. "Unfixed-neighbor-mechanism promotes cooperation in evolutionary snowdrift game on lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    • Handle: RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001825
    DOI: 10.1016/j.physa.2021.125910
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