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

被引：33
|
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.
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页码：351 / 364
页数：14
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