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Nash equilibria in noncooperative predator-prey games

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dc.contributor.authorRamos Del Olmo, Ángel Manuel
dc.contributor.authorRoubícek, Tomás
dc.date.accessioned2023-06-20T09:27:34Z
dc.date.available2023-06-20T09:27:34Z
dc.date.issued2007-10
dc.description.abstractA non-cooperative game governed by a distributed-parameter predator-prey system is consid-ered, assuming that two players control initial conditions for predator and prey, respectively. Existence of a Nash equlibrium is shown under the condition that the desired population pro¯les and the environ-mental carrying capacity for the prey are su±ciently small. A conceptual approximation algorithm is proposed and analyzed. Finally, numerical simulations are performed, too.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMCyT
dc.description.sponsorshipMSMT CR
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/12374
dc.identifier.doi10.1007/s00245-007-0894-5
dc.identifier.issn0095-4616
dc.identifier.officialurlhttp://www.springerlink.com/content/0095-4616/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49602
dc.issue.number2
dc.journal.titleApplied Mathematics & Optimization
dc.language.isoeng
dc.page.final241
dc.page.initial211
dc.publisherSpringer
dc.relation.projectIDAGL2003-06862-C02-02
dc.relation.projectIDMSM 0021620839
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordReaction-diffusion system
dc.subject.keywordLotka-Volterra system
dc.subject.keywordNash equilibrium
dc.subject.keyword2nd-order analysis
dc.subject.keywordExistence
dc.subject.keywordNumerical simulations
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleNash equilibria in noncooperative predator-prey games
dc.typejournal article
dc.volume.number56
dspace.entity.typePublication
relation.isAuthorOfPublication581c3cdf-f1ce-41e0-ac1e-c32b110407b1
relation.isAuthorOfPublication.latestForDiscovery581c3cdf-f1ce-41e0-ac1e-c32b110407b1

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