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Please use this identifier to cite or link to this item: http://hdl.handle.net/10016/5567

Google™ Scholar. Others By: Rincón-Zapatero, Juan Pablo - Martín-Herrán, G.
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Title: Direct method comparing efficient and non-efficient payoffs in differential games
Author(s): Rincón-Zapatero, Juan Pablo [jrincon]
Martín-Herrán, G.
Publisher: Springer
Issued date: 2003
Citation: Journal of Optimization Theory and Applications. 2003, vol. 119, nº 2, p. 395-405
URI: http://hdl.handle.net/10016/5567
ISSN: 0022-3239
DOI: 10.1023/B:JOTA.0000005453.96575.2a
Description: The original publication is available at www.springerlink.com
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.
Sponsor: 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.
Review: PeerReviewed
Publisher version: http://dx.doi.org/10.1023/B:JOTA.0000005453.96575.2a
Keywords: Differential games
Markov-perfect Nash equilibrium
Pareto optimum
Hamilton-Jacobi-Bellman equations
Rights: © Plenum
Appears in Collections:Economists Online
DE - Artículos de Revistas

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