Strong Equilibrium in Differential Games

Andrey V. Zyatchin

St. Petersburg State University, Graduate School of Management, Volkhovsky per. 3, St. Petersburg, 199004, Russia

Аннотация: In this paper two definitions of strong equilibrium are considered: strong equilibrium in broad and narrow senses. The main result of the paper is sufficient conditions for strong equilibrium existence in differential games. A special technique based on scalarization of vector criteria is used to construct strong equilibrium in broad sense. This approach is tested on example of the differential game with three players.

Ключевые слова: Nash equilibrium, strong equilibrium, dynamic programming.

Язык публикации: английский