RUS  ENG
Full version
JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2019 Volume 15, Issue 2, Pages 221–234 (Mi vspui403)

This article is cited in 1 paper

Applied mathematics

Looking Forward Approach for dynamic cooperative advertising game model

L. Shi, O. L. Petrosian, A. V. Boiko

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

Abstract: In this paper, we examine a dynamic cooperative advertising game model, where each firm market share depends on its own and its competitors' advertising decisions. More and more companies are willing to cooperate on the market in order to increase their market share and their joint profit as a result. They cooperate on advertising acting as one company and according to a characteristic function introduced in this work, their joint profit can be reallocated according to some cooperative solution. Looking Forward Approach is applied to the initial game in order to construct a model, where information about the process updates dynamically. Comparison between the solution of initial game model and game model with dynamic updating is illustrated using the numerical simulation.

Keywords: dynamic games, dynamic cooperative games, time consistency, looking forward approach.

UDC: 519.837

MSC: 91A25

Received: March 1, 2019
Accepted: March 15, 2019

Language: English

DOI: 10.21638/11701/spbu10.2019.206



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024