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Price-Dependent Demand in Spatial Models

Author

Listed:
  • Gu Yiquan

    (University of Liverpool)

  • Wenzel Tobias

    (University of Düsseldorf)

Abstract

This paper introduces price-dependent individual demand into the circular city model of product differentiation. We show that for any finite number of firms, an unique symmetric price equilibrium exists provided that demand functions are not “too” convex. As in the case of unit demand, the number of firms under free entry decreases in the fixed cost of entry while increases in the transportation cost of consumers. However, this number is no longer always in excess of the socially optimal level. Insufficient entry occurs when the fixed and transportation costs are high.

Suggested Citation

  • Gu Yiquan & Wenzel Tobias, 2012. "Price-Dependent Demand in Spatial Models," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-26, March.
  • Handle: RePEc:bpj:bejeap:v:12:y:2012:i:1:n:6
    DOI: 10.1515/1935-1682.3126
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    1. Michael Spence, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 217-235.
    2. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    3. Suleymanova Irina & Wey Christian, 2011. "Bertrand Competition in Markets with Network Effects and Switching Costs," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-58, September.
    4. Neven, Damien J., 1986. "On Hotelling's competition with non-uniform customer distributions," Economics Letters, Elsevier, vol. 21(2), pages 121-126.
    5. Gu, Yiquan & Wenzel, Tobias, 2009. "A note on the excess entry theorem in spatial models with elastic demand," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 567-571, September.
    6. Janssen, Maarten C.W. & Karamychev, Vladimir A. & van Reeven, Peran, 2005. "Multi-store competition: Market segmentation or interlacing?," Regional Science and Urban Economics, Elsevier, vol. 35(6), pages 700-714, November.
    7. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    8. Anderson, Simon P. & de Palma, Andre, 2000. "From local to global competition," European Economic Review, Elsevier, vol. 44(3), pages 423-448, March.
    9. Antoni Calvó‐Armengol & Yves Zenou, 2002. "The Importance of the Distribution of Consumers in Horizontal Product Differentiation," Journal of Regional Science, Wiley Blackwell, vol. 42(4), pages 793-803.
    10. Rath, Kali P. & Zhao, Gongyun, 2001. "Two stage equilibrium and product choice with elastic demand," International Journal of Industrial Organization, Elsevier, vol. 19(9), pages 1441-1455, November.
    11. Madden Paul & Pezzino Mario, 2011. "Oligopoly on a Salop Circle with Centre," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-30, January.
    12. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    13. Matsumura Toshihiro & Matsushima Noriaki, 2010. "When Small Firms Fight Back Against Large Firms in R&D Activities," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-42, September.
    14. ANDERSON, Simon P. & de PALMA, André & THISSE, Jacques-François, 1992. "Interpretations of the logit discrete choice models and the theory of product differentiation," LIDAM Reprints CORE 1017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Toshihiro Matsumura, 2000. "Entry regulation and social welfare with an integer problem," Journal of Economics, Springer, vol. 71(1), pages 47-58, February.
    16. Norman, George & Thisse, Jacques-Francois, 1996. "Product Variety and Welfare under Tough and Soft Pricing Regimes," Economic Journal, Royal Economic Society, vol. 106(434), pages 76-91, January.
    17. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    18. Matsumura, Toshihiro & Okamura, Makoto, 2006. "A note on the excess entry theorem in spatial markets," International Journal of Industrial Organization, Elsevier, vol. 24(5), pages 1071-1076, September.
    19. Serhan Ziya & Hayriye Ayhan & Robert D. Foley, 2004. "Relationships Among Three Assumptions in Revenue Management," Operations Research, INFORMS, vol. 52(5), pages 804-809, October.
    20. Gu Yiquan & Wenzel Tobias, 2012. "Price-Dependent Demand in Spatial Models," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-26, March.
    21. 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.
    22. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    23. Shilony, Yuval, 1981. "Hotelling's competition with general customer distributions," Economics Letters, Elsevier, vol. 8(1), pages 39-45.
    24. Matsumura, Toshihiro & Okamura, Makoto, 2006. "Equilibrium number of firms and economic welfare in a spatial price discrimination model," Economics Letters, Elsevier, vol. 90(3), pages 396-401, March.
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    Cited by:

    1. Gu Yiquan & Wenzel Tobias, 2012. "Price-Dependent Demand in Spatial Models," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-26, March.
    2. Gu, Yiquan & Wenzel, Tobias, 2011. "Transparency, price-dependent demand and product variety," Economics Letters, Elsevier, vol. 110(3), pages 216-219, March.
    3. Adriaan Hendrik van der Weijde & Erik T. Verhoef & Vincent A. C. van den Berg, 2012. "Hotelling Models with Price-Sensitive Demand and Asymmetric Transport Costs: An Application to Public Transport Scheduling," Tinbergen Institute Discussion Papers 12-119/VIII, Tinbergen Institute.
    4. Dominik Boddin & Frank Stähler, 2018. "The Organization of International Trade," CESifo Working Paper Series 7378, CESifo.
    5. Yiquan Gu & Alexander Rasch & Tobias Wenzel, 2016. "Price-sensitive demand and market entry," Papers in Regional Science, Wiley Blackwell, vol. 95(4), pages 865-875, November.
    6. Fischer, Christian & Rasch, Alexander, 2018. "Complex pricing and consumer-side transparency," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181642, Verein für Socialpolitik / German Economic Association.

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    More about this item

    Keywords

    spatial models; price-dependent demand; horizontal product differentiation; excess entry theorem;
    All these keywords.

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics

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