Hotelling was right with decreasing returns to scale and a coalition-proof refinement
This paper provides a simple, realistic, and very slightly modified version of the production technology in Hotelling’s (Econ J 39:41–57, 1929 ) spatial model with linear transportation costs to overcome the nonexistence problem of equilibrium—decreasing returns to scale. It is shown that a pure strategy Nash equilibrium in price competition always exists for all location pairs and guarantees uniqueness if we utilize a coalition-proof refinement introduced by Bernheim et al. (J Econ Theory 42:1–12, 1987 ). Decreasing returns to scale reduce the profit a firm can capture through price undercutting and stabilize the price equilibrium due to the increasing average production cost of firms. As a consequence, duopoly firms agglomerating at the center of a line are shown to be at the unique location equilibrium. This paper confers a new validity to the so-called principle of minimum differentiation, in some sense, with the least deviation from the original Hotelling (Econ J 39:41–57, 1929 ) model. Copyright Springer-Verlag 2013
Volume (Year): 50 (2013)
Issue (Month): 3 (June)
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- Bhaskar, V, 1997.
"The Competitive Effects of Price-Floors,"
Journal of Industrial Economics,
Wiley Blackwell, vol. 45(3), pages 329-40, September.
- Hinloopen, Jeroen & van Marrewijk, Charles, 1999. "On the limits and possibilities of the principle of minimum differentiation1," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 735-750, July.
- Martin J Osborne & Carolyn Pitchik, 1985.
"Equilibrium in Hotelling's Model of Spatial Competition,"
Department of Economics Working Papers
1985-02, McMaster University.
- Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, vol. 55(4), pages 911-22, July.
- Toshihiro Matsumura & Noriaki Matsushima, 2009.
"Collusion, Agglomeration, and Heterogeneity of Firms,"
2009-05, Kobe University, Graduate School of Business Administration.
- Matsumura, Toshihiro & Matsushima, Noriaki, 2011. "Collusion, agglomeration, and heterogeneity of firms," Games and Economic Behavior, Elsevier, vol. 72(1), pages 306-313, May.
- Economides, Nicholas, 1984. "The principle of minimum differentiation revisited," European Economic Review, Elsevier, vol. 24(3), pages 345-368, April.
- FRIEDMAN, James W. & THISSE, Jacques-FranÃ§ois, .
"Partial collusion fosters minimum product differentiation,"
CORE Discussion Papers RP
1070, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- James W. Friedman & Jacques-Francois Thisse, 1993. "Partial Collusion Fosters Minimum Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 631-645, Winter.
- Anderson, S., 1986.
"Equilibrium existence in the linear model of spatial competition,"
CORE Discussion Papers
1986013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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 479-91, November.
- Dixon, Huw, 1990. "Bertrand-Edgeworth Equilibria when Firms Avoid Turning Customers Away," Journal of Industrial Economics, Wiley Blackwell, vol. 39(2), pages 131-46, December.
- Helmut Bester, 1998. "Quality Uncertainty Mitigates Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 828-844, Winter.
- Jehiel, Philippe, 1992. "Product differentiation and price collusion," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 633-641, December.
- Zhang, Z John, 1995. "Price-Matching Policy and the Principle of Minimum Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 43(3), pages 287-99, September.
- Eber, Nicolas, 1997. "A note on the strategic choice of spatial price discrimination," Economics Letters, Elsevier, vol. 55(3), pages 419-423, September.
- d'ASPREMONT, Claude & GABSZEWICZ, Jean J. & THISSE,Â Jacques-FranÃ§ois, .
"On Hotelling's "Stability in competition","
CORE Discussion Papers RP
385, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Prabal Chowdhury & Kunal Sengupta, 2004. "Coalition-proof Bertrand equilibria," Economic Theory, Springer, vol. 24(2), pages 307-324, August.
- Takanori Ago, 2008. "Central agglomeration of monopolistically competitive firms," Journal of Economic Geography, Oxford University Press, vol. 8(6), pages 811-823, November.
- Stefano Colombo, 2011. "Discriminatory prices and the prisoner dilemma problem," The Annals of Regional Science, Springer, vol. 46(2), pages 397-416, April.
- Pinkse, Joris & Slade, Margaret E., 1998. "Contracting in space: An application of spatial statistics to discrete-choice models," Journal of Econometrics, Elsevier, vol. 85(1), pages 125-154, July.
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