Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:B3L-F
Session:
Number:B3L-F2
Bifurcation Phenomena of Replicator Dynamics with Dynamic Capitation Tax
Takafumi KANAZAWA, Toshimitsu USHIO, Yasuhiko FUKUMOTO,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
In the population of many selfish players, the purpose of each player often conflicts with the total purpose of the population. In such a situation, the “government” which has the comprehensive perspective is needed for governing the population. Recently, to model such a situation, replicator dynamics with capitation taxes has been proposed. However, the amount of the capitation tax is assumed to be constant and independent of the population state. In this paper, we propose a model that the government changes the capitation tax depending on the population state. Using a two-strategy game, we investigate the stability conditions and related bifurcations of equilibrium points of our model.