Solving Over-production and Supply-guarantee Problems in Economic Equilibria

被引:3
作者
He, Bing-sheng [2 ]
Xu, Wei [3 ]
Yang, Hai [4 ]
Yuan, Xiao-Ming [1 ]
机构
[1] Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210008, Peoples R China
[3] Nanjing Univ, Sch Management & Engn, Nanjing 210008, Peoples R China
[4] Hong Kong Univ Sci & Technol, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China
关键词
Spatial price equilibrium; Over-production; Supply-guarantee; Implicit complementarity problem; Direct method; SPATIAL PRICE EQUILIBRIUM; VARIATIONAL-INEQUALITIES; FORMULATION; COMPETITION; ALGORITHMS; MODELS;
D O I
10.1007/s11067-008-9095-2
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
The classical Spatial Price Equilibrium of economic markets may result in over-production at supply markets and under-supply at demand markets. This paper considers the policy instruments of levying taxes at supply markets to avoid over-production and granting subsidy for traders to guarantee supply at demand markets. The decision process of determining appropriate rates of tax and subsidy is characterized by an implicit complementarity problem. Consequently, a direct type algorithm is applied to solve the complementarity model. Preliminary numerical results are also reported.
引用
收藏
页码:127 / 138
页数:12
相关论文
共 28 条
[1]  
[Anonymous], 1987, Unconstrained Optimization: Practical Methods of Optimization
[2]   SUPPLY AND DEMAND EQUILIBRATION ALGORITHMS FOR A CLASS OF MARKET EQUILIBRIUM PROBLEMS [J].
DAFERMOS, S ;
NAGURNEY, A .
TRANSPORTATION SCIENCE, 1989, 23 (02) :118-124
[3]   EXCHANGE PRICE EQUILIBRIA AND VARIATIONAL-INEQUALITIES [J].
DAFERMOS, S .
MATHEMATICAL PROGRAMMING, 1990, 46 (03) :391-402
[4]   Engineering and economic applications of complementarity problems [J].
Ferris, MC ;
Pang, JS .
SIAM REVIEW, 1997, 39 (04) :669-713
[5]   A NEW LOOK AT STATIC SPATIAL PRICE EQUILIBRIUM-MODELS [J].
FLORIAN, M ;
LOS, M .
REGIONAL SCIENCE AND URBAN ECONOMICS, 1982, 12 (04) :579-597
[6]   Differential variational inequalities and shipper dynamic oligopolistic network competition [J].
Friesz, TL ;
Rigdon, MA ;
Mookherjee, R .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2006, 40 (06) :480-503
[7]   A VARIATIONAL INEQUALITY FORMULATION OF THE DYNAMIC NETWORK USER EQUILIBRIUM PROBLEM [J].
FRIESZ, TL ;
BERNSTEIN, D ;
SMITH, TE ;
TOBIN, RL ;
WIE, BW .
OPERATIONS RESEARCH, 1993, 41 (01) :179-191
[8]   ALTERNATIVE ALGORITHMS FOR THE GENERAL NETWORK SPATIAL PRICE EQUILIBRIUM PROBLEM [J].
FRIESZ, TL ;
HARKER, PT ;
TOBIN, RL .
JOURNAL OF REGIONAL SCIENCE, 1984, 24 (04) :475-507
[9]   A NON-LINEAR COMPLEMENTARITY FORMULATION AND SOLUTION PROCEDURE FOR THE GENERAL DERIVED DEMAND NETWORK EQUILIBRIUM PROBLEM [J].
FRIESZ, TL ;
TOBIN, RL ;
SMITH, TE ;
HARKER, PT .
JOURNAL OF REGIONAL SCIENCE, 1983, 23 (03) :337-359
[10]  
Gabriel S.A., 2003, NETW SPAT ECON, V3, P97, DOI DOI 10.1023/A:1023955701522