The Evolution of Mass Species under the Replicator Equation
| Autor: | Wen-Chuan Fu, 傅文權 |
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| Rok vydání: | 2014 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 102 We study the evolutionary of species under the replicator equation with antisymmetric payoff. All of out results show odd number of species survived and its probability distritbution agrees with the combination NCk which is reported by “Large-Dimensional Replicator Equations with Antisymmetric Random Interactions”. Further, the population of survival species is identical with the eigenvector for eigenvalue zero of a reduced payoff for the survived species .Our results for the partly interaction cases show strong resemblance to the global one till the portion of interaction is roughly less than 10%. That means all species are sort of correlated even though most of them are not directly interacting. Some of results show even number of species survived on specific value since there are isolated points, we conjecture the measure of even number of survived species in parameter space,i.e, we change continuously a parameter in the payoff table. The relaxation time near the even species is a power law with critical exponent ~1, |(γ- γ c)/γc|-1. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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