TY - JOUR

T1 - Moving Information Horizon Approach for Dynamic Game Models

AU - Petrosian, Ovanes

AU - Shi, Lihong

AU - Li, Yin

AU - Gao, Hongwei

PY - 2019/12

Y1 - 2019/12

N2 - In the paper, a new class of dynamic game models with a moving information horizon or dynamic updating is studied. In this class of games, players do not have full information about the game structure (motion equations, payoff functions) on the interval on which the game is defined. It is supposed that the players at each stage of the dynamic game have only truncated information about the game structure defined by the information horizon. Cooperative and noncooperative settings are considered in the paper. Results are illustrated using the oligopoly advertising game model, and comparison between the solution in the initial game model and in the game model with moving information horizon is presented. Simulation results are presented.

AB - In the paper, a new class of dynamic game models with a moving information horizon or dynamic updating is studied. In this class of games, players do not have full information about the game structure (motion equations, payoff functions) on the interval on which the game is defined. It is supposed that the players at each stage of the dynamic game have only truncated information about the game structure defined by the information horizon. Cooperative and noncooperative settings are considered in the paper. Results are illustrated using the oligopoly advertising game model, and comparison between the solution in the initial game model and in the game model with moving information horizon is presented. Simulation results are presented.

KW - looking forward approach

KW - dynamic updating

KW - moving information horizon

KW - dynamic marketing model

KW - advertising competition

KW - time consistency

KW - simulation

KW - DIFFERENTIAL-GAMES

U2 - 10.3390/math7121239

DO - 10.3390/math7121239

M3 - статья

VL - 7

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 12

M1 - 1239

ER -