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2011•arXiv (Cornell University)Open access

Proximal Calculus and Universal Feedback Strategies in Two Person Non-Zero Sum Differential Games

Yurii Vladimirovich Averboukh

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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.

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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.

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Available 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.

Key concepts: Zero (linguistics), Differential (mechanical device), Differential calculus, Mathematics, Calculus (dental), Nonlinear system, Zero-sum game, Algebra over a field

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