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A Duopoly Location Toolkit: Consumer Densities Which Yield Unique Spatial Duopoly Equilibria
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Kieron J Meagher
Published/Copyright:
April 30, 2008
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.
Published Online: 2008-4-30
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Keywords for this article
Hotelling;
logconcave;
location duopoly;
spatial competition;
distribution
Articles in the same Issue
- Topics Article
- When Stackelberg and Cournot Equilibria Coincide
- Conflict and Consensus: A Theory of Control in Organisations
- Backward Integrated Information Gatekeepers and Independent Divisions in the Product Market
- Identification of Individual Demands from Market Data under Uncertainty
- On the Role of Uncertainty in the Risk-Incentives Tradeoff
- Time-to-Build and the Inverse U-Shape Investment-Uncertainty Relationship
- Revisiting Independence and Stochastic Dominance for Compound Lotteries
- On Competitive Equilibria with Asymmetric Information
- A Duopoly Location Toolkit: Consumer Densities Which Yield Unique Spatial Duopoly Equilibria
- Purchasing Power Parity with Strategic Markets
- Global vs. Local Information in (Anti-)Coordination Problems with Imitators
- Costly Evidence Production and the Limits of Verifiability
- Research Joint Ventures, Optimal Licensing, and the R&D Subsidy Policy
- Comparative Statics and Welfare in Heterogeneous All-Pay Auctions: Bribes, Caps, and Performance Thresholds
- Ex Post Private Information and Monopolistic Screening
- Passing the Buck in Sequential Negotiation
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- The Dirty Face Problem with Unawareness
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- Advances Article
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