Optimal strategies and cost-benefit analysis of the n-player weightlifting game

The study of cooperation has been extensively studied in game theory. Especially, two-player two-strategy games have been categorized according to their equilibrium strategies and fully analysed. Recently, a grand unified game covering all types of two-player two-strategy games, i.e., the weightlift...

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Veröffentlicht in:Scientific reports 2022-05, Vol.12 (1), p.1-10
Hauptverfasser: Cuaresma, Diane Carmeliza N., Chiba, Erika, Tubay, Jerrold M., Rabajante, Jomar F., Gavina, Maica Krizna A., Yoshimura, Jin, Ito, Hiromu, Okabe, Takuya, Morita, Satoru
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Sprache:eng
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Zusammenfassung:The study of cooperation has been extensively studied in game theory. Especially, two-player two-strategy games have been categorized according to their equilibrium strategies and fully analysed. Recently, a grand unified game covering all types of two-player two-strategy games, i.e., the weightlifting game, was proposed. In the present study, we extend this two-player weightlifting game into an n -player game. We investigate the conditions for pure strategy Nash equilibria and for Pareto optimal strategies, expressed in terms of the success probability and benefit-to-cost ratio of the weightlifting game. We also present a general characterization of n -player games in terms of the proposed game. In terms of a concrete example, we present diagrams showing how the game category varies depending on the benefit-to-cost ratio. As a general rule, cooperation becomes difficult to achieve as group size increases because the success probability of weightlifting saturates towards unity. The present study provides insights into achieving behavioural cooperation in a large group by means of a cost–benefit analysis.
ISSN:2045-2322
DOI:10.1038/s41598-022-12394-z