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Product variety, price elasticity of demand and fixed cost in spatial models

Author

Listed:
  • Gu, Yiquan
  • Wenzel, Tobias
Abstract
This paper explores the implications of price-dependent demand in spatial models of product differentiation. We introduce consumers with a quasi-linear utility function in the framework of the Salop (1979) model. We show that the so-called excess entry theorem relies critically on the assumption of completely inelastic demand. Our model is able to produce excessive, insufficient, or optimal product variety. A proof for the existence and uniqueness of symmetric equilibrium when price elasticity of demand is increasing in price is also provided.

Suggested Citation

  • Gu, Yiquan & Wenzel, Tobias, 2009. "Product variety, price elasticity of demand and fixed cost in spatial models," FAU Discussion Papers in Economics 03/2009, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    • Handle: RePEc:zbw:iwqwdp:032009
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
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    4. 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.
    5. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    6. 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.
    7. Martin Peitz, 2002. "Price equilibrium in address models of product differentiation: unit-elastic demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 849-860.
    8. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
    9. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    10. 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.
    11. Simon P. Anderson & Stephen Coate, 2005. "Market Provision of Broadcasting: A Welfare Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 947-972.
    12. Economides, Nicholas, 1989. "Symmetric equilibrium existence and optimality in differentiated product markets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 178-194, February.
    13. 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.
    14. Mark Armstrong Author-Email: mark.armstrong@ucl.ac.uk Author-Workplace-Name: University College of London, 2006. "Competition in Two-Sided Markets," RAND Journal of Economics, The RAND Corporation, vol. 37(3), pages 668-691, Autumn.
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    Cited by:

    1. Stühmeier, Torben & Wenzel, Tobias, 2011. "Getting beer during commercials: Adverse effects of ad-avoidance," Information Economics and Policy, Elsevier, vol. 23(1), pages 98-106, March.
    2. Gu, Yiquan & Wenzel, Tobias, 2011. "Transparency, price-dependent demand and product variety," Economics Letters, Elsevier, vol. 110(3), pages 216-219, March.

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    More about this item

    Keywords

    Demand elasticity; Spatial models; 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

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