Nash Equilibria in Noncooperative Predator-Prey Games |
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| Authors: | Angel Manuel Ramos Tomas Roubicek |
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| Institution: | (1) Departamento de Matematica Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain;(2) Mathematical Institute, Charles University, Sokolovska 83, CZ-186 75 Praha 8 and Institute of Information Theory and Automation, Academy of Sciences, Pod vodarenskou vezi 4, CZ-182 08 Praha 8, Czech Republic |
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| Abstract: | 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. |
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