Special Issue in Honor of Leon A. Petrosyan; Guest Editors: Vladimir Mazalov and David YeungNo Access

Looking Forward Approach in Cooperative Differential Games

Petrosian Ovanes

Faculty of Applied Mathematics and Control Process, Saint-Petersburg State University, Universitetskii prospekt 35 Petergof, Saint-Petersburg 198504, Russia

E-mail Address: petrosian.ovanes@yandex.ru

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https://doi.org/10.1142/S0219198916400077Cited by:7 (Source: Crossref)

Abstract

New approach to the definition of solution in cooperative differential games is considered. The approach is based on artificially truncated information about the game. It assumed that at each time, instant players have information about the structure of the game (payoff functions, motion equations) only for the next fixed time interval. Based on this information they make the decision. Looking Forward Approach is applied to the cases when the players are not sure about the dynamics of the game on the whole time interval $[0, T]$ $[0, T]$ and orient themselves on the game dynamics defined on the smaller time interval $¯ ¯¯ ¯ T$ $\bar{T}$ ( $0 < ¯ ¯¯ ¯ T < T$ $0 < \bar{T} < T$ ), on which they surely know that the game dynamics is not changing.

Keywords:

AMSC: 49N70, 91A12, 90C39

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