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R. Elliott, N. Kalton, L. Markus (1973)
Saddle Points for Linear Differential GamesSiam Journal on Control, 11
Paul Allen (1997)
CENTER FOR
Differential Equations, Vol. 40, No. 11, 2004, pp. 1600–1610. Translated from Differentsial'nye Uravneniya, Vol. 40, No. 11, 2004, pp. 1521–1531. Original Russian Text Copyright c 2004 by Smol'yakov. ORDINARY DIFFERENTIAL EQUATIONS Coordinated Equilibria and a Technique for Solving Di erential Games E. R. Smol'yakov Moscow State University, Moscow, Russia Received May 25, 2004 1. INTRODUCTION We suggest notions of coordinated equilibria and constructive necessary conditions for their existence, which permits one to reduce complicated dynamic con ict problems to a small number of substantially simpler static con ict problems. Our technique for solving di erential games and the practical eciency of our theoretical results are illustrated by a simpli ed dynamic model of con ict production and market interaction of three car factories. Finding the strongest equilibrium (solution) in con ict dynamic problems described by di er- ential equations (in particular, di erential games) is a very complicated problem. Suce it to say that even the problem of nding the classical saddle point in linear di erential games with free right endpoint [1] or the Nash equilibrium [2] in the similar simplest di erential games is very com- plicated; all the more, so is the problem of nding a
Differential Equations – Springer Journals
Published: Feb 26, 2004
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