THE EXISTENCE OF EQUILIBRIA IN THE 3-FACILITY HOTELLING MODEL IN A TREE

被引：16

作者：

EISELT, HA ^{[1
]}

LAPORTE, G ^{[1
]}

机构：

[1] ECOLE HAUTES ETUD COMMERCIALES, MONTREAL H3T 1V6, PQ, CANADA

来源：

TRANSPORTATION SCIENCE | 1993年 / 27卷 / 01期

关键词：

D O I：

10.1287/trsc.27.1.39

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：

This paper considers the location of three market share maximizing facilities on a tree network. Assume that the demand originates at the vertices of the tree and that the facilities can locate at the vertices or on the edges of the tree. It is shown that the problem may have agglomerated, dispersed, or have no equilibria at all. Conditions for these cases are developed in the paper.

引用

页码：39 / 43

页数：5

共 15 条

[1] NETWORKS WITH CONDORCET SOLUTIONS [J].

BANDELT, HJ .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1985, 20 (03) :314-326

[2]

DEPALMA A, 1987, J IND ECON, V36, P245

[3] PRINCIPLE OF MINIMUM DIFFERENTIATION RECONSIDERED - SOME NEW DEVELOPMENTS IN THEORY OF SPATIAL COMPETITION [J].

EATON, BC ;

LIPSEY, RG .

REVIEW OF ECONOMIC STUDIES, 1975, 42 (01) :27-49

[4]

EISELT HA, 1984, NEW ZEAL OPER RES, V12, P49

[5] COMPETITIVE LOCATION MODELS - A FRAMEWORK AND BIBLIOGRAPHY [J].

EISELT, HA ;

LAPORTE, G ;

THISSE, JF .

TRANSPORTATION SCIENCE, 1993, 27 (01) :44-54

[6]

EISELT HA, 1989, PUBLICATION CTR REC, V625

[7]

Goldman A., 1970, TRANSPORT SCI, V4, P406

[8]

Goldman A. J., 1971, Transportation Science, V5, P212, DOI 10.1287/trsc.5.2.212

[9] OPTIMUM DISTRIBUTION OF SWITCHING CENTERS IN A COMMUNICATION NETWORK AND SOME RELATED GRAPH THEORETIC PROBLEMS [J].

HAKIMI, SL .

OPERATIONS RESEARCH, 1965, 13 (03) :462-&

[10] OUTCOMES OF VOTING AND PLANNING - CONDORCET, WEBER AND RAWLS LOCATIONS [J].

HANSEN, P ;

THISSE, JF .

JOURNAL OF PUBLIC ECONOMICS, 1981, 16 (01) :1-15

← 1 2 →