Nash Equilibria in Noncooperative Predator-Prey Games

Journal Article · Sat Sep 15 00:00:00 EDT 2007 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-007-0894-5· OSTI ID:21067397

Roubicek, Tomas ^[1]

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1. 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 (Czech Republic)

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.

• OSTI ID: 21067397
• Journal Information: Applied Mathematics and Optimization, Vol. 56, Issue 2; Other Information: DOI: 10.1007/s00245-007-0894-5; Copyright (c) 2007 Springer; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
APPROXIMATIONS
CONTROL THEORY
EQUILIBRIUM
GAME THEORY
POPULATIONS
SIMULATION