Replicator dynamics with Pigovian subsidy and capitation tax

被引：13

作者：

Kanazawa, Takafumi ^{[1
]}

Fukumoto, Yasuhiko ^{[1
]}

Ushio, Toshimitsu ^{[1
]}

Misaka, Takurou ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Evolutionary game; Replicator dynamics; Tax and subsidy; SOCIAL DILEMMAS;

D O I：

10.1016/j.na.2008.11.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The selfish behaviors of individuals can cause an inefficient society in which the total amount of the individuals' utilities is not maximized. To resolve the problem, a government sometimes tries to control the population by imposing a tax on and/or offering a subsidy to the individuals who belong to the population. The tax is roughly classified into rate taxations and capitation taxes. Using an evolutionary game theory, the authors have proposed a differential equation model with rate taxations to analyze their effects on players' behaviors. In this paper, we propose a differential equation model with the capitation taxes, and derive stability conditions of the target state. Moreover, we also discuss an application of our model to selfish routing games. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：E818 / E826

页数：9

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