Nash Equilibria in Noncooperative Predator-Prey Games

被引：0

作者：

Angel Manuel Ramos

Tomas Roubicek

机构：

[1] Departamento de Matematica Aplicada,

[2] Universidad Complutense de Madrid,undefined

[3] Plaza de Ciencias 3,undefined

[4] 28040,undefined

[5] Mathematical Institute,undefined

[6] Charles University,undefined

[7] Sokolovska 83,undefined

[8] CZ-186 75 Praha 8 and Institute of Information Theory and Automation,undefined

[9] Academy of Sciences,undefined

[10] Pod vodarenskou vezi 4,undefined

来源：

Applied Mathematics and Optimization | 2007年 / 56卷

关键词：

Nash Equilibrium; Adjoint System; Prey System; Noncooperative Game; Nash Equilibrium Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A noncooperative game governed by a distributed-parameter predator-prey system is considered, assuming that two players control initial conditions for predator and prey, respectively. Existence of a Nash equilibrium is shown under the condition that the desired population profiles and the environmental carrying capacity for the prey are sufficiently small. A conceptual approximation algorithm is proposed and analyzed. Finally, numerical simulations are performed, too.

引用

页码：211 / 241

页数：30