The Annals of Regional Science

, Volume 43, Issue 1, pp 215–234 | Cite as

Cost differentials and mixed strategy equilibria in a Hotelling model

  • Toshihiro MatsumuraEmail author
  • Noriaki Matsushima
Original Paper


We introduce heterogeneity of production costs into the location-price Hotelling model discussed by d’Aspremont et al. (Econometrica 47:1145–1150, 1979). Maximum differentiation appears if the cost difference between two firms is small, whereas no pure strategy equilibrium exists if it is large. We examine the mixed strategy equilibria when no pure strategy equilibrium exists. We find that the following simple symmetric mixed strategy equilibrium exists, which never becomes an equilibrium if no cost differential exists: each firm chooses to locate at the two edges of the linear city randomly.

JEL Classification

R32 L13 


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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institute of Social ScienceUniversity of TokyoTokyoJapan
  2. 2.Graduate School of Business AdministrationKobe UniversityKobeJapan

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