On Nash-Cournot oligopolistic market equilibrium models with concave cost functions

被引：37

作者：

Muu, Le D. ^{[1
]}

Nguyen, V. H. ^{[2
]}

Quy, N. V. ^{[3
]}

机构：

[1] Inst Math, Hanoi 10137, Vietnam

[2] FUNDP Unite Optimisat, Dept Math, Namur, Belgium

[3] Financial & Accounting Inst, Hanoi 10137, Vietnam

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2008年 / 41卷 / 03期

关键词：

nonconvex Nash-Cournot model; equilibrium; concave cost; variational inequality; existence of solution; algorithm;

D O I：

10.1007/s10898-007-9243-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider Nash-Cournot oligopolistic market equilibrium models with concave cost functions. Concavity implies, in general, that a local equilibrium point is not necessarily a global one. We give conditions for existence of global equilibrium points. We then propose an algorithm for finding a global equilibrium point or for detecting that the problem is unsolvable. Numerical experiments on some randomly generated data show efficiency of the proposed algorithm.

引用

页码：351 / 364

页数：14

共 26 条

[1] Using the banach contraction principle to implement the proximal point method for multivalued monotone variational inequalities [J].