IDEAS home Printed from https://ideas.repec.org/p/rco/dpaper/268.html
   My bibliography  Save this paper

All-Pay Competition with Captive Consumers

Author

Listed:
  • Foucart, Renaud

    (Lancaster University)

  • Friedrichsen, Jana

    (HU Berlin)

Abstract

We study a game in which two firms compete in quality to serve a market consisting of consumers with different initial consideration sets. If both firms invest below a certain threshold, they only compete for those consumers already aware of their existence. Above this threshold, a firm is visible to all and the highest investment attracts all consumers. On the one hand, the existence of initially captive consumers introduces an anti-competitive element: holding fixed the behavior of its rival, a firm with a larger captive segment enjoys a higher payoff from not investing at all. On the other hand, the fact that a firm’s initially captive consumers can still be attracted by very high quality introduces a pro-competitive element: a high investment becomes more profitable for the underdog when the captive segment of the dominant firm increases. The share of initially captive consumers therefore has a non-monotonic effect on the investment levels of both firms and on consumer surplus. We relate our findings to competition cases in digital markets.

Suggested Citation

  • Foucart, Renaud & Friedrichsen, Jana, 2021. "All-Pay Competition with Captive Consumers," Rationality and Competition Discussion Paper Series 268, CRC TRR 190 Rationality and Competition.
    • Handle: RePEc:rco:dpaper:268
    as

    Download full text from publisher

    File URL: https://rationality-and-competition.de/wp-content/uploads/2021/01/268.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    2. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    3. Alexandre de Cornière & Greg Taylor, 2019. "A model of biased intermediation," RAND Journal of Economics, RAND Corporation, vol. 50(4), pages 854-882, December.
    4. Hong, Pilky & McAfee, R. Preston & Nayyar, Ashish, 2002. "Equilibrium Price Dispersion with Consumer Inventories," Journal of Economic Theory, Elsevier, vol. 105(2), pages 503-517, August.
    5. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    6. Zhou, Jidong, 2009. "Prominence and Consumer Search: The Case With Multiple Prominent Firms," MPRA Paper 12554, University Library of Munich, Germany.
    7. Mark Armstrong & John Vickers & Jidong Zhou, 2009. "Prominence and consumer search," RAND Journal of Economics, RAND Corporation, vol. 40(2), pages 209-233, June.
    8. Drew Fudenberg & Jean Tirole, 2000. "Customer Poaching and Brand Switching," RAND Journal of Economics, The RAND Corporation, vol. 31(4), pages 634-657, Winter.
    9. Jagmohan S. Raju & V. Srinivasan & Rajiv Lal, 1990. "The Effects of Brand Loyalty on Competitive Price Promotional Strategies," Management Science, INFORMS, vol. 36(3), pages 276-304, March.
    10. Joseph Farrell & Carl Shapiro, 1988. "Dynamic Competition with Switching Costs," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 123-137, Spring.
    11. Jeremy Bulow & Paul Klemperer, 1998. "The Tobacco Deal," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1998 Micr), pages 323-394.
    12. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    13. Chakravarthi Narasimhan, 1984. "A Price Discrimination Theory of Coupons," Marketing Science, INFORMS, vol. 3(2), pages 128-147.
    14. Farrell, Joseph & Klemperer, Paul, 2007. "Coordination and Lock-In: Competition with Switching Costs and Network Effects," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 31, pages 1967-2072, Elsevier.
    15. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
    16. Ding, Yucheng & Zhang, Tianle, 2018. "Price-directed consumer search," International Journal of Industrial Organization, Elsevier, vol. 58(C), pages 106-135.
    17. Armstrong, Mark & Vickers, John, 2018. "Patterns of Competition with Captive Customers," MPRA Paper 90362, University Library of Munich, Germany.
    18. Thomas Gehrig & Rune Stenbacka, 2004. "Differentiation‐Induced Switching Costs and Poaching," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 13(4), pages 635-655, December.
    19. Klemperer, Paul D, 1987. "Entry Deterrence in Markets with Consumer Switching Costs," Economic Journal, Royal Economic Society, vol. 97(388a), pages 99-117, Supplemen.
    20. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    21. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    22. Paul Klemperer, 1987. "Markets with Consumer Switching Costs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 375-394.
    23. Manish Gangwar & Nanda Kumar & Ram C. Rao, 2014. "Consumer Stockpiling and Competitive Promotional Strategies," Marketing Science, INFORMS, vol. 33(1), pages 94-113, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Foucart, Renaud & Friedrichsen, Jana, 2016. "Bidding for network size," MPRA Paper 72136, University Library of Munich, Germany.
    2. Toker Doganoglu, 2010. "Switching costs, experience goods and dynamic price competition," Quantitative Marketing and Economics (QME), Springer, vol. 8(2), pages 167-205, June.
    3. Huck, Steffen & Zhou, Jidong, 2011. "Consumer behavioural biases in competition: A survey," MPRA Paper 31794, University Library of Munich, Germany.
    4. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899.
    5. Walter Beckert & Paolo Siciliani, 2018. "Protecting Vulnerable Consumers in "Switching Markets"," Birkbeck Working Papers in Economics and Finance 1808, Birkbeck, Department of Economics, Mathematics & Statistics.
    6. Ciotti, Fabrizio & Hornuf, Lars & Stenzhorn, Eliza, 2021. "Lock-In Effects in Online Labor Markets," LIDAM Discussion Papers CORE 2021014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Walter Beckert & Paolo Siciliani, 2022. "Protecting Sticky Consumers in Essential Markets," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 61(3), pages 247-278, November.
    8. Florian Morath & Johannes Münster, 2018. "Online Shopping and Platform Design with Ex Ante Registration Requirements," Management Science, INFORMS, vol. 64(1), pages 360-380, January.
    9. Luis Cabral, 2016. "Dynamic Pricing in Customer Markets with Switching Costs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 43-62, April.
    10. Huang, Yangguang & Xie, Yu, 2023. "Search algorithm, repetitive information, and sales on online platforms," International Journal of Industrial Organization, Elsevier, vol. 88(C).
    11. Miguel Villas-Boas, J., 2015. "A short survey on switching costs and dynamic competition," International Journal of Research in Marketing, Elsevier, vol. 32(2), pages 219-222.
    12. Rhee, Ki-Eun, 2014. "What types of switching costs to create under behavior-based price discrimination?," International Journal of Industrial Organization, Elsevier, vol. 37(C), pages 209-221.
    13. Elhauge, Einer & Wickelgren, Abraham L., 2015. "Robust exclusion and market division through loyalty discounts," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 111-121.
    14. Junhyun Bae & Li Chen & Shiqing Yao, 2022. "Service Capacity and Price Promotion Wars," Management Science, INFORMS, vol. 68(12), pages 8757-8772, December.
    15. Andrew Rhodes & Jidong Zhou, 2019. "Consumer Search and Retail Market Structure," Management Science, INFORMS, vol. 67(6), pages 2607-2623, June.
    16. Langus, Gregor & Lipatov, Vilen, 2008. "On Quantity Competition With Switching Costs," MPRA Paper 15457, University Library of Munich, Germany.
    17. Gamp, Tobias & Krähmer, Daniel, 2022. "Biased Beliefs in Search Markets," Rationality and Competition Discussion Paper Series 365, CRC TRR 190 Rationality and Competition.
    18. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 34, pages 2221-2299, Elsevier.
    19. Kutsal Dogan & Ernan Haruvy & Ram Rao, 2010. "Who should practice price discrimination using rebates in an asymmetric duopoly?," Quantitative Marketing and Economics (QME), Springer, vol. 8(1), pages 61-90, March.
    20. Mark J. Tremblay, 2019. "Platform Competition and Endogenous Switching Costs," Journal of Industry, Competition and Trade, Springer, vol. 19(4), pages 537-559, December.

    More about this item

    Keywords

    consideration set; regulation; all-pay auction; endogenous prize; digital markets;
    All these keywords.

    JEL classification:

    • D04 - Microeconomics - - General - - - Microeconomic Policy: Formulation; Implementation; Evaluation

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:rco:dpaper:268. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Viviana Lalli (email available below). General contact details of provider: https://rationality-and-competition.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.