2003/07/17 by Shota Hayakawa, Hayakawa, Shota, Norihito Toyota +1
Medicine · Physics and Astronomy · Social Sciences · #Cellular Automata and Lattice Gases (nlin.CG) #Chaotic Dynamics (nlin.CD) #Evolutionary Game Theory and Cooperation #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence
paper · pdf · doi:10.48550/arxiv.nlin/0307028
openalex publication_date 2003/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we study the evolution of the strategies in a sort of weighted three cornered game, Glico Game. This game has three strategies in each agent and three parameters in the payoff matrix. We divide the parameter region into 8 areas and explore its qualitative and quantitative properties of the evolution of strategies which include Haming distance, correlation functions and the population sequence of each strategy. When the three payoff parameters take nearly values each other, the complex patterns mainly appear and as the difference of parameter values are enlarged, some peculiar strategy trends to be dominant gradually. An interesting fact is that the strongest strategy in the payoff do not necessarily dominate the latice world. There are even the cases where the weakest strategy in the payof dominate. Generally many cases have some period much shoter than the dimension of the configuration space.