caa a22 4500 606233326 CHVBK 20210128101231.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10883-014-9224-9 doi (NATIONALLICENCE)springer-10.1007/s10883-014-9224-9 Averboukh Yurii Krasovskii Institute of Mathematics and Mechanics UrB RAS, Ural Federal University, 16, S. Kovalevskaya str., 620990, Ekaterinburg, Russia aut Universal Nash Equilibrium Strategies for Differential Games [Elektronische Daten] [Yurii Averboukh] The paper is concerned with a two-player nonzero-sum differential game in the case when players are informed about the current position. We consider the game in control with guide strategies first proposed by Krasovskii and Subbotin. The construction of universal strategies is given both for the case of continuous and discontinuous value functions. The existence of a discontinuous value function is established. The continuous value function does not exist in the general case. In addition, we show the example of smooth value function not being a solution of the system of the Hamilton-Jacobi equation. Springer Science+Business Media New York, 2014 Nash equilibrium nationallicence Nonzero-sum differential game nationallicence Control with guide strategies nationallicence Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 329-350 1079-2724 21:3<329 2015 21 10883 https://doi.org/10.1007/s10883-014-9224-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10883-014-9224-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Averboukh Yurii Krasovskii Institute of Mathematics and Mechanics UrB RAS, Ural Federal University, 16, S. Kovalevskaya str., 620990, Ekaterinburg, Russia aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 329-350 1079-2724 21:3<329 2015 21 10883