Public goods game with the interdependence of different cooperative strategies

Wang, Chaoqian; Pan, Qiuhui; Ju, Xinxiang; He, Mingfeng

doi:10.1016/j.chaos.2021.110871

Cited by 16 publications

(2 citation statements)

References 44 publications

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“…The general sensitivity of individuals to this difference is characterized by the strength of selection. Accordingly, models can use strong [17], intermediate [21][22][23][24][25], or weak selection scenarios [10]. On the one hand, lab experiments indicated an intermediate selection strength in human populations [26,27].…”

Section: Introductionmentioning

confidence: 99%

Evolution of cooperation under a generalized death-birth process

Wang¹,

Szolnoki²

2023

Preprint

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According to the evolutionary death-birth protocol, a player is chosen randomly to die and neighbors compete for the available position proportional to their fitness. Hence, the status of the focal player is completely ignored and has no impact on the strategy update. In this work, we revisit and generalize this rule by introducing a weight factor to compare the payoff values of the focal and invading neighbors. By means of evolutionary graph theory, we analyze the model on joint transitive graphs to explore the possible consequences of the presence of a weight factor. We find that focal weight always hinders cooperation under weak selection strength. Surprisingly, the results show a non-trivial tipping point of the weight factor where the threshold of cooperation success shifts from positive to negative infinity. Once focal weight exceeds this tipping point, cooperation becomes unreachable. Our theoretical predictions are confirmed by Monte Carlo simulations on a square lattice of different sizes. We also verify the robustness of the conclusions to arbitrary two-player prisoner's dilemmas, to dispersal graphs with arbitrary edge weights, and to interaction and dispersal graphs overlapping arbitrarily.

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Section: Introductionmentioning

confidence: 99%

Evolution of cooperation under a generalized death-birth process

Wang¹,

Szolnoki²

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…The most well-known and most intensively studied multiplayer game is the public goods game (PGG) which extends PD from pairwise interactions to group interactions [18,19,20]. Similarly, additional factors have also been considered in multiplayer games to promote cooperation, such as reputation [21,22,23,24,25,26,27], punishment [28,29,30,31,32,33,34], exclusion [35,36,37], discounting and synergy [25,38], fluctuating population size [39], interdependence of different strategies [40,41], emerging alliance [42,43], environmental feedback [44,45], and reinvestment [46]. The possibility of real-world experiments [47] and applications to real scenarios was also an inspiring force along this research path.…”

Section: Introductionmentioning

confidence: 99%