A single 'weight-lifting' game covers all kinds of games.

R Soc Open Sci

Graduate School of Integrated Science and Technology, Shizuoka University, Hamamatsu 432-8561, Japan.

Published: November 2019

AI Article Synopsis

  • Game theory explains why cooperation is important in human and animal societies and categorizes interactions into five main types of games.
  • The proposed weight-lifting game allows players to either genuinely cooperate by carrying a weight or defect by pretending, with success depending on how many choose to cooperate.
  • This new game effectively combines elements of all five game types into a single framework, proving that it can represent their dynamics through a shared payoff matrix.

Article Abstract

Game theory has been studied extensively to answer why cooperation is promoted in human and animal societies. All games are classified into five games: the Prisoner's Dilemma, chicken game (including hawk-dove game), stag hunt game and two trivial games of either all cooperation or all defect, which are studied separately. Here, we propose a new game that covers all five game categories: the weight-lifting game. The player choose either to (1) carry a weight (cooperate: pay a cost) or (2) pretend to carry it (defect: pay no cost). The probability of success in carrying the weight depends on the number of cooperators, and the players either gain the success reward or pay the failure penalty. All five game categories appear in this game depending on the success probabilities for the number of cooperators. We prove that this game is exactly equivalent to the combination of all five games in terms of a pay-off matrix. This game thus provides a unified framework for studying all five types of games.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6894607PMC
http://dx.doi.org/10.1098/rsos.191602DOI Listing

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