Direct method comparing efficient and non-efficient payoffs in differential games

Rincón-Zapatero, Juan Pablo; Martín-Herrán, G.

dc.contributor.author	Rincón-Zapatero, Juan Pablo
dc.contributor.author	Martín-Herrán, G.
dc.date.accessioned	2012-10-04T11:07:17Z
dc.date.available	2012-10-04T11:07:17Z
dc.date.issued	2003
dc.identifier.bibliographicCitation	Journal of Optimization Theory and Applications. 2003, vol. 119, nº 2, p. 395-405
dc.identifier.issn	0022-3239
dc.identifier.uri	http://hdl.handle.net/10016/5567
dc.description	The original publication is available at www.springerlink.com
dc.description.abstract	In this note, we present a method that allows us to decide when a Markov-perfect Nash equilibrium is not Pareto optimum, without the explicit knowledge of the respective solutions. For that purpose, we establish a sufficient condition in terms of an algebraic inequality where the gradient of the value functions of the cooperative and noncooperative games as well as the state and control variables are involved.
dc.description.sponsorship	The first author acknowledges financial support from Junta de Castilla y León Project VA 108 01 and Dirección General de Investigación Project BFM2002–00425. The second author acknowledges financial support from JCYL Project VA051 03 and MCYT Project BEC2002-0236, cofinanced by FEDER funds.
dc.format.mimetype	application/pdf
dc.format.mimetype	text/plain
dc.language.iso	eng
dc.publisher	Springer
dc.rights	© Plenum
dc.subject.other	Differential games
dc.subject.other	Markov-perfect Nash equilibrium
dc.subject.other	Pareto optimum
dc.subject.other	Hamilton-Jacobi-Bellman equations
dc.title	Direct method comparing efficient and non-efficient payoffs in differential games
dc.type	article
dc.type.review	PeerReviewed
dc.description.status	Publicado
dc.relation.publisherversion	http://dx.doi.org/10.1023/B:JOTA.0000005453.96575.2a
dc.subject.eciencia	Economía
dc.identifier.doi	10.1023/B:JOTA.0000005453.96575.2a
dc.rights.accessRights	openAccess
dc.type.version	acceptedVersion
dc.identifier.publicationfirstpage	395
dc.identifier.publicationissue	2
dc.identifier.publicationlastpage	405
dc.identifier.publicationtitle	Journal of Optimization Theory and Applications
dc.identifier.publicationvolume	119