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Title:Hotelling games with three, four, and more players PDF Logo
Authors:Brenner, Steffen
Issue Date:2001
Series/Report no.:Discussion Papers, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes 2001,23
Abstract:In this paper the standard Hotelling model with quadratic transport costs is extended to the multi-firm case. The sequential game consists of a location choice stage and a price setting stage. Considering locational equilibria it is shown that neither holds the Principle of Maximum Differentiation - as in the duopoly model - nor does the Principle of Minimum Differentiation hold - as in the multiple firms game with linear transport cost. This result is in line with recent research which shows that the extreme differentiation patterns are often not stable if one adds flexibility to the model. For games with up to nine players explicit subgame perfect equilibrium solutions are calculated. They are characterized by a U-shaped price structure and interior corner firms locations. Welfare considerations show that the level of differentiation is almost at the socially optimal level if the number of firms is larger than three. If it is smaller then there is too little differentiation.
Subjects:spatial competition
multi-firm competition
interval
JEL:C72
D43
L13
R32
Persistent Identifier of the first edition:urn:nbn:de:kobv:11-10049461
Document Type:Working Paper
Appears in Collections:Discussion Papers, SFB 373, HU Berlin

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