EconStor >
Stockholm School of Economics >
EFI - The Economic Research Institute, Stockholm School of Economics >
SSE/EFI Working Paper Series in Economics and Finance, EFI - The Economic Research Institute, Stockholm School of Economics >

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10419/56158
  
Title:Price competition and convex costs PDF Logo
Authors:Weibull, Jörgen W.
Issue Date:2006
Series/Report no.:SSE/EFI Working Paper Series in Economics and Finance 622
Abstract:In the original model of pure price competition, due to Joseph Bertrand (1883), firms have linear cost functions. For any number of identical such price-setting firms, this results in the perfectly competitive outcome; the equilibrium price equal the firms' (constant) marginal cost. This paper provides a generalization of Bertrand's model from linear to convex cost functions. I analyze pure price competition both in a static setting - where the firms interact once and for all - and in dynamic setting - where they interact repeatedly over an indefinite future. Sufficient conditions are given for the existence of Nash equilibrium in the static setting and for subgame perfect equilibrium in the dynamic setting. These equilibrium sets are characterized, and it is shown that there typically exists a whole interval of Nash equilibrium prices in the static setting and subgame perfect equilibria in the dynamic setting. It is shown that firms may earn sizable profits and that their equilibrium profits may increase if their production costs go up.
Subjects:Bertrand competition
JEL:D43
Document Type:Working Paper
Appears in Collections:SSE/EFI Working Paper Series in Economics and Finance, EFI - The Economic Research Institute, Stockholm School of Economics

Files in This Item:
File Description SizeFormat
507825748.pdf229.96 kBAdobe PDF
No. of Downloads: Counter Stats
Download bibliographical data as: BibTeX
Share on:http://hdl.handle.net/10419/56158

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.