GLOBAL STABILITY OF NASH EQUILIBRIUM IN AGGREGATIVE GAMES

被引：3

作者：

Okuguchi, Koji ^{[1
]}

Yamazaki, Takeshi ^{[2
]}

机构：

[1] Tokyo Metropolitan Univ, Hachioji, Tokyo 1920397, Japan

[2] Niigata Univ, Dept Econ, Nishi Ku, 8050 Ikarashi 2 No Cho, Niigata 9502181, Japan

来源：

INTERNATIONAL GAME THEORY REVIEW | 2014年 / 16卷 / 04期

关键词：

Aggregative game; Cournot oligopoly; global stability; Nash equilibrium;

D O I：

10.1142/S0219198914500145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If an aggregative game satisfies the generalized Hahn conditions, then there exists a unique Nash equilibrium which may not be interior and is globally asymptotically stable under two alternative continuous adjustment processes with non-negativity constraints.

引用

页数：15

共 25 条

[1] THE STABILITY OF THE COURNOT OLIGOPOLY MODEL - A REASSESSMENT [J].

ALNOWAIHI, A ;

LEVINE, PL .

JOURNAL OF ECONOMIC THEORY, 1985, 35 (02) :307-321

[2] EXISTENCE OF COURNOT EQUILIBRIUM IN LARGE MARKETS [J].

BAMON, R ;

FRAYSSE, J .

ECONOMETRICA, 1985, 53 (03) :587-597

[3]

Brock W., 1989, DIFFERENTIAL EQUATIO

[4] MULTIMARKET OLIGOPOLY - STRATEGIC SUBSTITUTES AND COMPLEMENTS [J].

BULOW, JI ;

GEANAKOPLOS, JD ;

KLEMPERER, PD .

JOURNAL OF POLITICAL ECONOMY, 1985, 93 (03) :488-511

[5]

Corchon L., 2001, THEORIES IMPERFECTLY

[6] Asymmetric contests with general technologies [J].

Cornes, R ;

Hartley, R .

ECONOMIC THEORY, 2005, 26 (04) :923-946

[7]

Cornes R., 2005, GEOMETRY AGGREGATIVE

[8] Is a unique Cournot equilibrium locally stable? [J].

Dastidar, KG .

GAMES AND ECONOMIC BEHAVIOR, 2000, 32 (02) :206-218

[9] COMPARATIVE STATICS FOR OLIGOPOLY [J].

DIXIT, A .

INTERNATIONAL ECONOMIC REVIEW, 1986, 27 (01) :107-122

[10] STABILITY AND INSTABILITY IN OLIGOPOLY [J].

FURTH, D .

JOURNAL OF ECONOMIC THEORY, 1986, 40 (02) :197-228

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