THE COMPETITION BETWEEN INTERNET SERVICE QUALITIES FROM A DIFFERENCE GAME VIEWPOINT

被引：1

作者：

Blot, Joel ^{[1
]}

Hayek, Naila ^{[2
]}

Pekergin, Ferhan ^{[3
]}

Pekergin, Nihal ^{[4
]}

机构：

[1] Univ Paris 01, Lab SAMM EA 4543, Pantheon Sorbonne 90 Rue Tolbiac, F-75013 Paris, France

[2] Univ Paris 02, ERMES EA 4441, F-75005 Paris, France

[3] Univ Paris 13, LIPN UMR 7030, F-93430 Villetaneuse, France

[4] Univ Paris Est Creteil, LACL EA 4213, F-94010 Creteil, France

来源：

INTERNATIONAL GAME THEORY REVIEW | 2012年 / 14卷 / 01期

关键词：

Internet pricing; difference games; Pontryagin principle;

D O I：

10.1142/S0219198912500016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We treat the competition between two Internet Service Providers which are distinguished by the Quality of Services that they propose. We model this competition by means of an infinite-horizon discrete-time differential game. The dynamical modeling is due to the presence of investments of the firms. We solve the problem by using several Pontryagin principles for the optimal control problems associated to this differential game. We obtain the existence and the uniqueness of a Markov-Nash equilibrium of this differential game.

引用

页数：36

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