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On the Existence and Social Optimality of Equilibria in a Hotelling Game with Uncertain Demand and Linear-Quadratic Costs

Listed author(s):
  • Krol Michal

    ()

    (The University of Manchester)

This paper examines a variant of the Hotelling two-stage mill-pricing duopoly game with “linear-quadratic” transport costs and the uniform customer distribution subject to a random shock. The demand is equally likely to be found anywhere in a fixed interval of feasible product characteristics, with the ex-post differentiation of tastes parametrized to reflect the degree of uncertainty. It turns out that, for uncertainty big enough, the presence of a linear component in the cost function no longer rules out an analytical solution to the game, which is a common problem in spatial competition models. In particular, a subgame-perfect equilibrium is shown to exist in which the firms’ locations approach the socially efficient ones as uncertainty further increases, regardless of the curvature of the cost function. When the demand uncertainty reaches maximum, mill-pricing is equivalent to spatial price discrimination under the most general conditions.

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Article provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.

Volume (Year): 11 (2011)
Issue (Month): 1 (March)
Pages: 1-22

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Handle: RePEc:bpj:bejtec:v:11:y:2011:i:1:n:7
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  1. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-640, May.
  2. Balvers, Ronald & Szerb, Lazlo, 1996. "Location in the Hotelling duopoly model with demand uncertainty," European Economic Review, Elsevier, vol. 40(7), pages 1453-1461, August.
  3. Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, vol. 55(4), pages 911-922, July.
  4. Kieron Meagher & Klaus Zauner, 2005. "Location-then-price competition with uncertain consumer tastes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 799-818, June.
  5. Gabszewicz, Jean Jaskold & Thisse, Jacques-Francois, 1986. "On the Nature of Competition with Differentiated Products," Economic Journal, Royal Economic Society, vol. 96(381), pages 160-172, March.
  6. Anderson, Simon P, 1988. "Equilibrium Existence in the Linear Model of Spatial Competition," Economica, London School of Economics and Political Science, vol. 55(220), pages 479-491, November.
  7. Aghion, Philippe & Espinosa, Maria Paz & Jullien, Bruno, 1993. "Dynamic Duopoly with Learning through Market Experimentation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 517-539, July.
  8. Meagher, Kieron J. & Zauner, Klaus G., 2004. "Product differentiation and location decisions under demand uncertainty," Journal of Economic Theory, Elsevier, vol. 117(2), pages 201-216, August.
  9. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
  10. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
  11. Bester, Helmut & de Palma, Andre & Leininger, Wolfgang & Thomas, Jonathan & von Thadden, Ernst-Ludwig, 1996. "A Noncooperative Analysis of Hotelling's Location Game," Games and Economic Behavior, Elsevier, vol. 12(2), pages 165-186, February.
  12. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
  13. Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
  14. Economides, Nicholas, 1984. "The principle of minimum differentiation revisited," European Economic Review, Elsevier, vol. 24(3), pages 345-368, April.
  15. F. Javier Casado-Izaga, 2000. "Location decisions: The role of uncertainty about consumer tastes," Journal of Economics, Springer, vol. 71(1), pages 31-46, February.
  16. Steffen Brenner, 2005. "Hotelling Games with Three, Four, and More Players," Journal of Regional Science, Wiley Blackwell, vol. 45(4), pages 851-864.
  17. Mérel Pierre R & Sexton Richard J., 2010. "Kinked-Demand Equilibria and Weak Duopoly in the Hotelling Model of Horizontal Differentiation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-34, April.
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