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The unique equilibrium in a model of sales with costly advertising

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  • Arnold, Michael A.
  • Zhang, Lan

Abstract

We demonstrate that the Varian (1980) model of sales has a unique Nash equilibrium when firms incur costly advertising to compete for informed consumers. The equilibrium is symmetric. In particular, with costly advertising, the asymmetric equilibria highlighted by Baye et al. (1992) do not arise.

Suggested Citation

  • Arnold, Michael A. & Zhang, Lan, 2014. "The unique equilibrium in a model of sales with costly advertising," Economics Letters, Elsevier, vol. 124(3), pages 457-460.
    • Handle: RePEc:eee:ecolet:v:124:y:2014:i:3:p:457-460
    DOI: 10.1016/j.econlet.2014.07.005
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    References listed on IDEAS

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    1. Steven Salop & Joseph Stiglitz, 1977. "Bargains and Ripoffs: A Model of Monopolistically Competitive Price Dispersion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 493-510.
    2. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    3. Baye, Michael R. & Kovenock, Dan & de Vries, Casper G., 1992. "It takes two to tango: Equilibria in a model of sales," Games and Economic Behavior, Elsevier, vol. 4(4), pages 493-510, October.
    4. Michael R. Baye & John Morgan & Patrick Scholten, 2006. "Information, Search, and Price Dispersion," Working Papers 2006-11, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    5. Michael R. Baye & John Morgan, 2001. "Information Gatekeepers on the Internet and the Competitiveness of Homogeneous Product Markets," American Economic Review, American Economic Association, vol. 91(3), pages 454-474, June.
    6. Baye, Michael R. & Morgan, John, 2002. "Information gatekeepers and price discrimination on the internet," Economics Letters, Elsevier, vol. 76(1), pages 47-51, June.
    7. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 465-491.
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    Citations

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    Cited by:

    1. David Ronayne, 2021. "Price Comparison Websites," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1081-1110, August.
    2. Astorne-Figari, Carmen & López, José Joaquín & Yankelevich, Aleksandr, 2019. "Advertising for consideration," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 653-669.
    3. Debashrita Mohapatra & Debi Prasad Mohapatra & Ram Sewak Dubey, 2023. "Price dispersion across online platforms: Evidence from hotel room prices in London (UK)," Papers 2310.12341, arXiv.org.
    4. Petkov, Vladimir, 2018. "A model of sales with differentiated and homogeneous goods," Economics Letters, Elsevier, vol. 171(C), pages 214-217.
    5. David Ronayne & Greg Taylor, 2022. "Competing Sales Channels with Captive Consumers," The Economic Journal, Royal Economic Society, vol. 132(642), pages 741-766.
    6. Shelegia, Sandro & Wilson, Chris M., 2022. "Costly participation and default allocations in all-pay contests," MPRA Paper 115027, University Library of Munich, Germany.
    7. Shelegia, Sandro & Wilson, Chris, 2016. "A Generalized Model of Sales," EconStor Preprints 147411, ZBW - Leibniz Information Centre for Economics.
    8. Johannes Johnen & David Ronayne, 2021. "The only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 69(3), pages 595-614, September.
    9. Polemis, Michael L. & Stengos, Thanasis & Tzeremes, Nickolaos G., 2020. "Advertising expenses and operational performance: Evidence from the global hotel industry," Economics Letters, Elsevier, vol. 192(C).
    10. Arnold, Michael & Zhang, Lan, 2020. "Competition with an information clearinghouse and asymmetric firms: Why more than two firms compete (or not) for shoppers," Games and Economic Behavior, Elsevier, vol. 122(C), pages 55-82.

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    More about this item

    Keywords

    Advertising; Sales; Unique equilibrium; Price dispersion;
    All these keywords.

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L19 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Other
    • L89 - Industrial Organization - - Industry Studies: Services - - - Other

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