Competitive Location Models: A Framework and Bibliography

This paper presents a taxonomy for competitive location models based on the following five components: the space, the number of players, the pricing policy, the rules of the game, and the behavior of the customers. The components are briefly discussed and based on these, an annotated bibliography comprising more than 100 selected titles follows.

[1]  Daniel Granot.  The Role of Cost Allocation in Locational Models , 1987, Oper. Res..

[2]  Simon P. Anderson,et al.  Social Surplus and Profitability Under Different Spatial Pricing Policies , 1992 .

[3]  Elon Kohlberg,et al.  Equilibrium store locations when consumers minimize travel time plus waiting time , 1983 .

[4]  Walter Christaller.  Die zentralen Orte in Süddeutschland , 1980 .

[5]  Gilbert Laporte,et al.  THE MAXIMUM CAPTURE PROBLEM IN A WEIGHTED NETWORK , 1989 .

[6]  Simon P. Anderson,et al.  Cournot Competition Yields Spatial Agglomeration , 1991 .

[7]  Ralph M. Braid.  Heterogeneous preferences and non-central agglomeration of firms , 1988 .

[8]  George Norman,et al.  Price discrimination and equilibrium in monopolistic competition , 1988 .

[9]  Dennis R. Capozza,et al.  A Generalized Model of Spatial Competition , 1978 .

[10]  Robert Van Order,et al.  SPATIAL COMPETITION WITH CONSISTENT CONJECTURES , 1989 .

[11]  Nancy L. Stokey.  Job Differentiation and Wages , 1980 .

[12]  Benjamin H. Steven,et al.  An application of game theory to a problem in location strategy , 1961 .

[13]  S. Hakimi.  On locating new facilities in a competitive environment , 1983 .

[14]  Steven M. Slutsky,et al.  Multi-agent equilibria with market share and ranking objectives , 1985 .

[15]  Nicholas Economides,et al.  Symmetric equilibrium existence and optimality in differentiated product markets , 1989 .

[16]  R. Duncan Luce,et al.  Individual Choice Behavior: A Theoretical Analysis , 1979 .

[17]  H. Singer,et al.  Some Notes on Duopoly and Spatial Competition , 1937, Journal of Political Economy.

[18]  August Losch.  Die räumliche Ordnung der Wirtschaft , 1941 .

[19]  George Norman,et al.  The Economics of Imperfect Competition , 1987 .

[20]  Damien Neven,et al.  Market efficiency with combinable products , 1989 .

[21]  Robert Van Order,et al.  Unique Equilibria, Pure Profits, and Efficiency in Location Models , 1980 .

[22]  Jean Jaskold Gabszewicz,et al.  Spatial competition and the location of firms , 1986 .

[23]  Wolfgang Domschke,et al.  Competitive location on a network , 1993 .

[24]  Uday S. Karmarkar,et al.  Competitive Location on a Network , 1987, Oper. Res..

[25]  A. Smithies.  Optimum Location in Spatial Competition , 1941, Journal of Political Economy.

[26]  D. Neven.  Two Stage (Perfect) Equilibrium in Hotelling's Model , 1985 .

[27]  Carolyn Pitchik,et al.  The Nature of Equilibrium in a Location Model , 1986 .

[28]  Jacques-François Thisse,et al.  Spatial Competition with a Land Market: Hotelling and Von Thunen Unified , 1986 .

[29]  Rögnvaldur Hannesson,et al.  Defensive Foresight Rather than Minimax: A Comment on Eaton and Lipsey's Model of Spatial Competition , 1982 .

[30]  E. Prescott,et al.  Sequential location among firms with foresight , 1977 .

[31]  Helmut Bester,et al.  Noncooperative Bargaining and Spatial Competition , 1989 .

[32]  Arne Lund,et al.  August Lösch: DIE RÄUMLICHE ORDNUNG DER WIRTSCHAFT. Gustav Fischer, Jena 1940. 348 S. , 1943 .

[33]  Konrad Stahl,et al.  On the non-existence of oligopolistic equilibria in differentiated products spaces , 1985 .

[34]  Amoz Kats.  Spatial oligopoly and price discrimination with downward sloping demand , 1989 .

[35]  R. Artle,et al.  LOCATION AND MARKET POWER HOTELLING REVISITED , 1988 .

[36]  Carolyn Pitchik,et al.  Equilibrium in Hotelling's Model of Spatial Competition , 1987 .

[37]  Gilbert Laporte,et al.  Competitive spatial models , 1989 .

[38]  D. Mueller.  Public choice II , 1989 .

[39]  Jacques-François Thisse,et al.  Competition, Tacit Collusion and Free Entry , 1987 .

[40]  Pierre Hanjoul,et al.  Elements of Planar Analysis in Spatial Competition , 1987 .

[41]  Jacques-François Thisse,et al.  Duopoly With Spatial and Quantity-dependent Price-discrimination , 1992 .

[42]  R. Lipsey,et al.  AN ECONOMIC THEORY OF CENTRAL PLACES , 1982 .

[43]  Atsuyuki Okabe,et al.  Stability of Spatial Competition for a Large Number of Firms on a Bounded Two-Dimensional Space , 1987 .

[44]  Gilbert Laporte,et al.  Locational equilibrium of two facilities on a tree , 1990 .

[45]  A. Downs.  An Economic Theory of Democracy , 1957 .

[46]  Pierre Hansen,et al.  Equivalence of Solutions to Network Location Problems , 1986, Math. Oper. Res..

[47]  Jacques-François Thisse,et al.  SPATIAL COMPETITION AND THE CORE , 1991 .

[48]  B. Eaton,et al.  FREE ENTRY IN ONE‐DIMENSIONAL MODELS: PURE PROFITS AND MULTIPLE EQUILIBRIA* , 1976 .

[49]  Jacques-François Thisse,et al.  Competitive location on networks under delivered pricing , 1990 .

[50]  M. Teitz.  LOCATIONAL STRATEGIES FOR COMPETITIVE SYSTEMS , 1968 .

[51]  Robert Rothschild,et al.  The effect of sequential entry on choice of location , 1979 .

[52]  Michael Ian Shamos,et al.  Closest-point problems , 1975, 16th Annual Symposium on Foundations of Computer Science (sfcs 1975).

[53]  Phillip J. Lederer,et al.  Competition of Firms: Discriminatory Pricing and Location , 1986 .

[54]  S. Salop.  Monopolistic competition with outside goods , 1979 .

[55]  Gilbert Laporte,et al.  The Existence of Equilibria in the 3-Facility Hotelling Model in a Tree , 1993, Transp. Sci..

[56]  Peter J. Slater,et al.  Maximin facility location , 1975 .

[57]  E. Mills,et al.  A Model of Market Areas with Free Entry , 1964, Journal of Political Economy.

[58]  D. Serra,et al.  The Maximum Capture Problem Including Relocation , 1991 .

[59]  D. Black.  The theory of committees and elections , 1959 .

[60]  D. McFadden.  Econometric Models of Probabilistic Choice , 1981 .

[61]  H. Moulin.  Game theory for the social sciences , 1982 .

[62]  Jacques-François Thisse,et al.  Perceptual maps and the optimal location of new products , 1985 .

[63]  Jacques-François Thisse,et al.  On hotelling's "Stability in competition" , 1979 .

[64]  Phillip J. Lederer,et al.  Spatial duopoly with discriminatory pricing , 1985 .

[65]  Arie Tamir,et al.  On the Core of Cost Allocation Games Defined on Location Problems , 1993, Transp. Sci..

[66]  Melvin J. Hinich,et al.  The Spatial Theory Of Voting , 1984 .

[67]  Myrna Holtz Wooders,et al.  Sophisticated Entry in a Model of Spatial Competition , 1985 .

[68]  H. A. Eiselt.  Different pricing policies in Hotelling's duopoly model , 1991 .

[69]  Amoz Kats,et al.  Location-price equilibria in a spatial model of discriminatory pricing , 1987 .

[70]  Richard G. Lipsey,et al.  Freedom of Entry and the Existence of Pure Profit , 1978 .

[71]  D. Graitson.  Spatial Competition a la Hotelling: A Selective Survey , 1982 .

[72]  R. Lipsey,et al.  The Non-Uniqueness of Equilibrium in the Loschian Location Model , 1976 .

[73]  G. Bonanno.  Location Choice, Product Proliferation and Entry Deterrence , 1987 .

[74]  J. Karkazis,et al.  Facilities location in a competitive environment: A promethee based multiple criteria analysis , 1989 .