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The B.E. Journal of Theoretical Economics

Editor-in-Chief: Schipper, Burkhard

Ed. by Fong, Yuk-fai / Peeters, Ronald / Puzzello , Daniela / Rivas, Javier / Wenzelburger, Jan

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1935-1704
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A Duopoly Location Toolkit: Consumer Densities Which Yield Unique Spatial Duopoly Equilibria

Kieron J Meagher / Ernie G.S. Teo / Wen Wang
Published Online: 2008-04-30 | DOI: https://doi.org/10.2202/1935-1704.1445

Anderson, Goeree and Ramer (1997) observe that although the Uniform consumer density is almost universally assumed in Hotelling style location games, it is more realistic to assume non-uniform distributions. Using Anderson et al.'s (1997) sufficient conditions for the existence of a unique pure strategy equilibrium, we extend the list of known distributions with characterised equilibria from two (Uniform and Triangular) to seven. Our extension includes the Normal and Logistic distributions which are commonly used in empirical research. We also analyse the effects of density choice on equilibrium outcomes. Holding the mean and dispersion of consumer tastes constant, we find that the Uniform distribution inflates differentiation effects.

Keywords: Hotelling; logconcave; location duopoly; spatial competition; distribution

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Published Online: 2008-04-30


Citation Information: The B.E. Journal of Theoretical Economics, ISSN (Online) 1935-1704, DOI: https://doi.org/10.2202/1935-1704.1445.

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[1]
Kieron J. Meagher, Ernie G. S. Teo, and Taojun Xie
Theoretical Economics Letters, 2014, Volume 04, Number 06, Page 431
[2]
Kieron J. Meagher and Klaus G. Zauner
Economics Letters, 2011, Volume 113, Number 1, Page 26

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