Optimal strategies and cost-benefit analysis of the [Formula: see text]-player weightlifting game.

ABSTRACT: 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 [Formula: see text]-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 [Formula: see text]-player games in terms of the proposed game. In terms of a concrete example, we present diagrams showing

SUBMITTER: Cuaresma DCN 

PROVIDER: S-EPMC9120137 | biostudies-literature | 2022 May

REPOSITORIES: biostudies-literature