Critical thresholds of benefit distribution in an extended snowdrift game model

Bin-Quan Li, Zhi-Xi Wu and Jian-Yue Guan

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: Social inequality takes many forms, but its most basic form is that individuals give the least and get the most in return. In this paper, we introduce an extended model based on the snowdrift game model, involving the concept of inequality (unequal distribution of benefit). We calculated the critical threshold for the benefits distribution under the dominant cooperative strategy through numerical simulation and theoretical analysis. We illustrate the similarities and differences in the evolution of cooperation with and without incentives and punishments. Both theoretical and simulation results show that within the limited resource range, the larger the resource is, the larger the critical proportion of benefits that defectors can exploit, whether in unstructured or structured population. We also show that the inequality is stronger in social structures with sparse connections and weaker in those with dense connections. Moreover, we revealed that introducing incentives and punishments makes it harder for cooperators to get a fair share of the profits.

Keywords: Dominant strategy; Fixation probability; Snowdrift game; Dynamics of evolution (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001588

DOI: 10.1016/j.chaos.2022.111948

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