Proximal Calculus and Universal Feedback Strategies in Two Person Non-Zero Sum Differential Games
Optimization and Control
2013-01-22 v2
Abstract
In this paper we introduce the discontinuous universal feedback for the problem of Nash equilibrium in two person non-zero sum differential game. We assume that there exist functions satisfying some conditions analogous to the infinitesimal conditions on value function in zero sum differential games. Under this assumption we prove the existence of universal feedback Nash equilibrium.
Keywords
Cite
@article{arxiv.1101.4925,
title = {Proximal Calculus and Universal Feedback Strategies in Two Person Non-Zero Sum Differential Games},
author = {Yurii Averboukh},
journal= {arXiv preprint arXiv:1101.4925},
year = {2013}
}
Comments
This paper has been withdrawn by the author due to the absence of examples except the smooth solutions of the systems of HJB equations