IDEAS home Printed from https://ideas.repec.org/a/spr/snbeco/v1y2021i10d10.1007_s43546-021-00142-w.html
   My bibliography  Save this article

Conditional loyalty and its implications for pricing

Author

Listed:
  • Massimo A. Francesco

    (University of Siena)

Abstract

Bertrand–Edgeworth competition has recently been analyzed under imperfect buyer mobility, as a game in which, once prices are chosen, a static buyer subgame (BS) is played where the buyers choose which seller to visit (see, e.g., Burdett et al. in J Political Econ 109:1060–1085, 2001). Our paper considers a symmetric duopoly where two buyers play a two-stage BS of imperfect information after price setting. An “assessment equilibrium” of the BS is shown to exist in which, with prices at the two firms sufficiently close to each other, the buyers keep loyal if previously served. Conditional loyalty is proved to increase the duopolists’ market power: at the corresponding subgame perfect equilibrium of the entire game, the uniform price is higher than that corresponding to the equilibrium of the BS in which the buyers are persistently randomizing.

Suggested Citation

  • Massimo A. Francesco, 2021. "Conditional loyalty and its implications for pricing," SN Business & Economics, Springer, vol. 1(10), pages 1-20, October.
  • Handle: RePEc:spr:snbeco:v:1:y:2021:i:10:d:10.1007_s43546-021-00142-w
    DOI: 10.1007/s43546-021-00142-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s43546-021-00142-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s43546-021-00142-w?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Shi, Shouyong, 2016. "Customer relationship and sales," Journal of Economic Theory, Elsevier, vol. 166(C), pages 483-516.
    2. Peters, Michael, 2000. "Limits of Exact Equilibria for Capacity Constrained Sellers with Costly Search," Journal of Economic Theory, Elsevier, vol. 95(2), pages 139-168, December.
    3. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-1127, September.
    4. repec:ebl:ecbull:v:3:y:2005:i:31:p:1-10 is not listed on IDEAS
    5. Athanasios Geromichalos, 2014. "Directed Search And The Bertrand Paradox," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 1043-1065, November.
    6. Massimo A. De Francesco, 2005. "Matching buyers and sellers," Economics Bulletin, AccessEcon, vol. 3(31), pages 1-10.
    7. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    8. Gabriele Camera & Cemil Selcuk, 2009. "Price Dispersion with Directed Search," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1193-1224, December.
    9. Raymond Deneckere & James Peck, 1995. "Competition Over Price and Service Rate When Demand is Stochastic: A Strategic Analysis," RAND Journal of Economics, The RAND Corporation, vol. 26(1), pages 148-162, Spring.
    10. Athanasios Geromichalos, 2014. "Directed Search And The Bertrand Paradox," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1043-1065, November.
    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. De Francesco, Massimo A., 2018. "Conditional loyalty and its implications for pricing," MPRA Paper 91671, University Library of Munich, Germany, revised 26 Nov 2018.
    2. Kircher, Philipp & Wright, Randall & Julien, Benoit & Guerrieri, Veronica, 2017. "Directed Search: A Guided Tour," CEPR Discussion Papers 12315, C.E.P.R. Discussion Papers.
    3. Gomis-Porqueras Pedro & Julien Benoît & Wang Liang, 2018. "Competitive Search with Ex-post Opportunism," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(1), pages 1-17, January.
    4. Kultti Klaus, 2011. "Sellers Like Clusters," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-28, December.
    5. Virág, Gábor, 2011. "High profit equilibria in directed search models," Games and Economic Behavior, Elsevier, vol. 71(1), pages 224-234, January.
    6. Kim, Jaehong & Camera, Gabriele, 2014. "Uniqueness of equilibrium in directed search models," Journal of Economic Theory, Elsevier, vol. 151(C), pages 248-267.
    7. Massimo A. De Francesco, 2004. "Pricing and matching under duopoly with imperfect buyer mobility," Department of Economics University of Siena 439, Department of Economics, University of Siena.
    8. Suren Basov & John Ian King & Lawrence Uren, 2010. "The Employed, the Unemployed, and the Unemployable: Directed Search with Worker Heterogeneity," Working Papers 2010.03, School of Economics, La Trobe University.
    9. Kevin x.d. Huang & Zhe Li & Jianfei Sun, 2018. "Bank Competition, Directed Search, and Loan Sales," Vanderbilt University Department of Economics Working Papers 18-00001, Vanderbilt University Department of Economics.
    10. Gabriele Camera & Jaehong Kim, 2016. "Dynamic directed search," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 131-154, June.
    11. Peter Norman, 2017. "Matching with Frictions and Entry with Poisson Distributed Buyers and Sellers," 2017 Meeting Papers 1150, Society for Economic Dynamics.
    12. Manolis Galenianos & Philipp Kircher, 2012. "On The Game‐Theoretic Foundations Of Competitive Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(1), pages 1-21, February.
    13. Kennes, John & le Maire, Daniel & Roelsgaard, Sebastian T., 2020. "Equivalence of canonical matching models," Games and Economic Behavior, Elsevier, vol. 124(C), pages 169-182.
    14. Shi, Shouyong, 2016. "Customer relationship and sales," Journal of Economic Theory, Elsevier, vol. 166(C), pages 483-516.
    15. Matthew Doyle & Jacob Wong, 2013. "Wage Posting Without Full Commitment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 231-252, April.
    16. Petrikaite, Vaiva & Hämäläinen, Saara, 2018. "Mobility with private information and privacy suppression," CEPR Discussion Papers 12860, C.E.P.R. Discussion Papers.
    17. Li, Zhe & Sun, Jianfei, 2011. "Bank competition, securitization and risky investment," MPRA Paper 34173, University Library of Munich, Germany.
    18. Pedro Gomis‐Porqueras & Benoit Julien & Chengsi Wang, 2017. "Strategic Advertising And Directed Search," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(3), pages 783-806, August.
    19. Camera, Gabriele & Kim, Jaehong, 2013. "Buyer’s equilibrium with capacity constraints and restricted mobility: A recursive approach," Economics Letters, Elsevier, vol. 118(2), pages 321-323.
    20. Gomis-Porqueras, Pedro & Julien, Benoit & Chengsi, Wang, 2012. "Informative Advertising in Directed Search," MPRA Paper 38057, University Library of Munich, Germany.

    More about this item

    Keywords

    Bertrand–Edgeworth competition; Matching; Imperfect buyer mobility; Conditional loyalty; Assessment equilibrium;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    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:spr:snbeco:v:1:y:2021:i:10:d:10.1007_s43546-021-00142-w. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.