Differences in dynamics between discrete strategies and continuous strategies in a multi-player game with a linear payoff structure.
A deductive analysis concerning replicator dynamics proved that a continuous strategy game (in which a player chooses an arbitrary real number between [0, 1] as a cooperative fraction) has the same equilibrium as a discrete strategy game (in which a player chooses only C or D), which has the same linear payoff structure as a continuous strategy game. The deduction is shown for two-player and multi-player games.
Tanimoto
Jun
J
Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka 816-8580, Japan. tanimoto@cm.kyushu-u.ac.jp
D000465:Algorithms; D005075:Biological Evolution; D003299:Cooperative Behavior; D005716:Game Theory; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D011157:Population Dynamics; D049490:Systems Biology