This article is cited in 10 papers

Applied mathematics

Looking forward approach in cooperative differential games with infinite-horizon

O. L. Petrosyan

St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: A novel approach to definition and computation of a solution of a differential with an infinite-horizon game is presented for the case when players do not have certain information about the game structure on the infinite time interval. At any instant of time players have certain information about motion equations and payoff functions on a subinterval with fixed duration. The information about the game structure updates at fixed instants of time and is completely unknown in advance. A new solution is defined as a recursive combination of sets of imputations in the truncated subgames that are analyzed by the Looking Forward Approach. An example of a resource extraction game illustrates a comparison of cooperative trajectory, imputation, imputation distribution procedure in the original game with infinite-horizon and in the corresponding game with Looking Forward Approach. Refs. 15. Figs 3.

Keywords: differential game, looking forward approach, imputation distribution procedure, time-consistency, strong time-consistency.

UDC: 517.977.8

Received: May 7, 2016
Accepted: September 29, 2016

DOI: 10.21638/11701/spbu10.2016.402

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