On Nash equilibria of a competitive location-design problem

被引:22
作者
Saiz, M. Elena [1 ]
Hendrix, Eligius M. T. [2 ,3 ]
Pelegrin, Blas [4 ]
机构
[1] Radboud Univ Nijmegen, Nijmegen, Netherlands
[2] Wageningen Univ, Wageningen, Netherlands
[3] Univ Malaga, E-29071 Malaga, Spain
[4] Univ Murcia, Dpt Estadist & Invest Operat, E-30001 Murcia, Spain
关键词
Game theory; Global optimisation; Huff model; Location; Nash equilibrium; FACILITY LOCATION; MODEL; PLANE;
D O I
10.1016/j.ejor.2010.09.036
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
The location-quality decision of a facility for two competing suppliers in a new market is described by a Huff-like attraction model where the profit that can be reached by each supplier depends on the actions of its competitor. We study the profit maximization problem of the suppliers under binary and proportional customer choice rules, assuming that they make their decisions simultaneously. The main questions are: what are the possible Nash equilibria in such a situation, how are they characterised and by which computational methods can they be determined? We report on findings. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:588 / 593
页数:6
相关论文
共 15 条
[1]  
[Anonymous], 1997, STUD LOCATIONAL ANAL
[3]   LOCATING A SINGLE NEW FACILITY AMONG EXISTING, UNEQUALLY ATTRACTIVE FACILITIES [J].
DREZNER, T .
JOURNAL OF REGIONAL SCIENCE, 1994, 34 (02) :237-252
[4]   COMPETITIVE LOCATION MODELS - A FRAMEWORK AND BIBLIOGRAPHY [J].
EISELT, HA ;
LAPORTE, G ;
THISSE, JF .
TRANSPORTATION SCIENCE, 1993, 27 (01) :44-54
[5]  
Eiselt HA, 1996, EUR J OPER RES, V96, P217
[6]   Solving a Huff-like competitive location and design model for profit maximization in the plane [J].
Fernandez, Jose ;
Pelegrin, Blas ;
Plastria, Frank ;
Toth, Boglarka .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 179 (03) :1274-1287
[7]   DEFINING AND ESTIMATING A TRADING AREA [J].
HUFF, DL .
JOURNAL OF MARKETING, 1964, 28 (03) :34-38
[8]  
JAIN AK, 1979, RES MARKETING, V1, P217
[9]   Competitive location and capacity decisions for firms serving time-sensitive customers [J].
Kwasnica, Anthony M. ;
Stavrulaki, Euthemia .
NAVAL RESEARCH LOGISTICS, 2008, 55 (07) :704-721
[10]   PARAMETER ESTIMATION FOR A MULTIPLICATIVE COMPETITIVE INTERACTION MODEL - LEAST SQUARES APPROACH [J].
NAKANISHI, M ;
COOPER, LG .
JOURNAL OF MARKETING RESEARCH, 1974, 11 (03) :303-311