RT Journal Article T1 Direct method comparing efficient and non-efficient payoffs in differential games A1 Rincón-Zapatero, Juan Pablo A1 Martín-Herrán, G. AB 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. PB Springer SN 0022-3239 YR 2003 FD 2003 LK https://hdl.handle.net/10016/5567 UL https://hdl.handle.net/10016/5567 LA eng NO The original publication is available at www.springerlink.com NO The first author acknowledges financial support from Junta de Castilla y León Project VA108 01 and Dirección General de Investigación Project BFM2002–00425.The second author acknowledges financial support from JCYL Project VA051 03 and MCYTProject BEC2002-0236, cofinanced by FEDER funds. DS e-Archivo RD 19 may. 2024