IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0092070.html

Paying for Express Checkout: Competition and Price Discrimination in Multi-Server Queuing Systems

Author

Listed:
  • Cary Deck
  • Erik O Kimbrough
  • Steeve Mongrain

Abstract

We model competition between two firms selling identical goods to customers who arrive in the market stochastically. Shoppers choose where to purchase based upon both price and the time cost associated with waiting for service. One seller provides two separate queues, each with its own server, while the other seller has a single queue and server. We explore the market impact of the multi-server seller engaging in waiting cost-based-price discrimination by charging a premium for express checkout. Specifically, we analyze this situation computationally and through the use of controlled laboratory experiments. We find that this form of price discrimination is harmful to sellers and beneficial to consumers. When the two-queue seller offers express checkout for impatient customers, the single queue seller focuses on the patient shoppers thereby driving down prices and profits while increasing consumer surplus.

Suggested Citation

  • Cary Deck & Erik O Kimbrough & Steeve Mongrain, 2014. "Paying for Express Checkout: Competition and Price Discrimination in Multi-Server Queuing Systems," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-13, March.
  • Handle: RePEc:plo:pone00:0092070
    DOI: 10.1371/journal.pone.0092070
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0092070
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0092070&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0092070?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
    ---><---

    References listed on IDEAS

    as
    1. Fredrik Carlsson & Åsa Lofgren, 2006. "Airline choice, switching costs and frequent flyer programmes," Applied Economics, Taylor & Francis Journals, vol. 38(13), pages 1469-1475.
    2. Dyer, Douglas & Kagel, John H & Levin, Dan, 1989. "A Comparison of Naive and Experienced Bidders in Common Value Offer Auctions: A Laboratory Analysis," Economic Journal, Royal Economic Society, vol. 99(394), pages 108-115, March.
    3. Daron Acemoglu & Asuman Ozdaglar, 2007. "Competition and Efficiency in Congested Markets," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 1-31, February.
    4. Yan Chen & Laura Razzolini & Theodore Turocy, 2007. "Congestion allocation for distributed networks: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 121-143, October.
    5. Rapoport, Amnon & Stein, William E. & Mak, Vincent & Zwick, Rami & Seale, Darryl A., 2010. "Endogenous arrivals in batch queues with constant or variable capacity," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1166-1185, December.
    6. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    7. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 2004. "Two are few and four are many: number effects in experimental oligopolies," Journal of Economic Behavior & Organization, Elsevier, vol. 53(4), pages 435-446, April.
    8. Armony, Mor & Haviv, Moshe, 2003. "Price and delay competition between two service providers," European Journal of Operational Research, Elsevier, vol. 147(1), pages 32-50, May.
    9. Jan A. Van Mieghem, 2000. "Price and Service Discrimination in Queuing Systems: Incentive Compatibility of Gc\mu Scheduling," Management Science, INFORMS, vol. 46(9), pages 1249-1267, September.
    10. Greg Shaffer & Z. John Zhang, 2000. "Pay to Switch or Pay to Stay: Preference‐Based Price Discrimination in Markets with Switching Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 9(3), pages 397-424, June.
    11. Yuxin Chen & Sridhar Moorthy & Z. John Zhang, 2005. "Research Note---Price Discrimination After the Purchase: Rebates as State-Dependent Discounts," Management Science, INFORMS, vol. 51(7), pages 1131-1140, July.
    12. Daniel, Joseph I, 1995. "Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues," Econometrica, Econometric Society, vol. 63(2), pages 327-370, March.
    13. Michael S. Haigh & John A. List, 2005. "Do Professional Traders Exhibit Myopic Loss Aversion? An Experimental Analysis," Journal of Finance, American Finance Association, vol. 60(1), pages 523-534, February.
    14. Darryl Seale & James Parco & William Stein & Amnon Rapoport, 2005. "Joining a Queue or Staying Out: Effects of Information Structure and Service Time on Arrival and Staying Out Decisions," Experimental Economics, Springer;Economic Science Association, vol. 8(2), pages 117-144, June.
    15. Bester, Helmut & Petrakis, Emmanuel, 1996. "Coupons and oligopolistic price discrimination," International Journal of Industrial Organization, Elsevier, vol. 14(2), pages 227-242.
    16. Gad Allon & Awi Federgruen, 2007. "Competition in Service Industries," Operations Research, INFORMS, vol. 55(1), pages 37-55, February.
    17. Lode Li & Yew Sing Lee, 1994. "Pricing and Delivery-Time Performance in a Competitive Environment," Management Science, INFORMS, vol. 40(5), pages 633-646, May.
    18. Israel Luski, 1976. "On Partial Equilibrium in a Queuing System with Two Servers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 519-525.
    19. David A. Savage & Benno Torgler, 2010. "Perceptions of Fairness and Allocation Systems," Economic Analysis and Policy, Elsevier, vol. 40(2), pages 229-248, September.
    20. Roland T. Rust & Tuck Siong Chung, 2006. "Marketing Models of Service and Relationships," Marketing Science, INFORMS, vol. 25(6), pages 560-580, 11-12.
    21. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 3, March.
    22. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 7, March.
    23. Mark Armstrong & Robert Porter (ed.), 2007. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 3, number 1.
    24. Brown-Kruse, Jamie, et al, 1994. "Bertrand-Edgeworth Competition in Experimental Markets," Econometrica, Econometric Society, vol. 62(2), pages 343-372, March.
    25. K. Sridhar Moorthy, 1984. "Market Segmentation, Self-Selection, and Product Line Design," Marketing Science, INFORMS, vol. 3(4), pages 288-307.
    26. Levhari, David & Luski, Israel, 1978. "Duopoly pricing and waiting lines," European Economic Review, Elsevier, vol. 11(1), pages 17-35, February.
    27. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 4, March.
    28. Rapoport, Amnon & Stein, William E. & Parco, James E. & Seale, Darryl A., 2004. "Equilibrium play in single-server queues with endogenously determined arrival times," Journal of Economic Behavior & Organization, Elsevier, vol. 55(1), pages 67-91, September.
    29. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 2, March.
    30. Kyle Hampton & Katerina Sherstyuk, 2012. "Demand shocks, capacity coordination, and industry performance: lessons from an economic laboratory," RAND Journal of Economics, RAND Corporation, vol. 43(1), pages 139-166, March.
    31. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 8, March.
    32. Alan S. Blinder, 1994. "On Sticky Prices: Academic Theories Meet the Real World," NBER Chapters, in: Monetary Policy, pages 117-154, National Bureau of Economic Research, Inc.
    33. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 5, March.
    34. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 1, March.
    35. 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.
    36. Hanna Alperstein, 1988. "Note---Optimal Pricing Policy for the Service Facility Offering a Set of Priority Prices," Management Science, INFORMS, vol. 34(5), pages 666-671, May.
    37. Brown Kruse, Jamie, 2008. "Simulated and Real Buyers in Posted Offer Markets," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 8, pages 71-76, Elsevier.
    38. Reitman, David, 1991. "Endogenous Quality Differentiation in Congested Markets," Journal of Industrial Economics, Wiley Blackwell, vol. 39(6), pages 621-647, December.
    39. Borenstein, Severin & Rose, Nancy L, 1994. "Competition and Price Dispersion in the U.S. Airline Industry," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 653-683, August.
    40. Charles R. Plott & Vernon L. Smith (ed.), 2008. "Handbook of Experimental Economics Results," Handbook of Experimental Economics Results, Elsevier, edition 1, volume 1, number 6, March.
    41. Dufwenberg, Martin & Gneezy, Uri, 2000. "Price competition and market concentration: an experimental study," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 7-22, January.
    42. Chakravarthi Narasimhan, 1984. "A Price Discrimination Theory of Coupons," Marketing Science, INFORMS, vol. 3(2), pages 128-147.
    43. Gerstner, Eitan & Hess, James D & Holthausen, Duncan M, 1994. "Price Discrimination through a Distribution Channel: Theory and Evidence," American Economic Review, American Economic Association, vol. 84(5), pages 1437-1445, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vasco F. Alves, 2019. "Pricing and waiting time decisions in a health care market with private and public provision," Journal of Applied Economics, Taylor & Francis Journals, vol. 22(1), pages 174-195, January.

    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. Helland, Leif & Moen, Espen R. & Preugschat, Edgar, 2017. "Information and coordination frictions in experimental posted offer markets," Journal of Economic Theory, Elsevier, vol. 167(C), pages 53-74.
    2. Marco Cipriani & Roberta De Filippis & Antonio Guarino & Ryan Kendall, 2020. "Trading by Professional Traders: An Experiment," Staff Reports 939, Federal Reserve Bank of New York.
    3. Tobias Salz & Emanuel Vespa, 2020. "Estimating dynamic games of oligopolistic competition: an experimental investigation," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 447-469, June.
    4. Thieme, Lutz & Winkelhake, Olaf & Hartmann, Ulrich, 2014. "Fairness als universelle Norm? Empirische Evidenz ohne Manna [Fairness as a universal norm? Empiric evidence without manna]," Working Papers of the European Institute for Socioeconomics 12, European Institute for Socioeconomics (EIS), Saarbrücken.
    5. Schnellenbach, Jan & Schubert, Christian, 2015. "Behavioral political economy: A survey," European Journal of Political Economy, Elsevier, vol. 40(PB), pages 395-417.
    6. Pierre-Olivier Pineau, 2022. "Choosing to Pay More for Electricity: an experiment on the level of residential consumer cooperation," CIRANO Working Papers 2022s-18, CIRANO.
    7. Jason Shachat & Anand Srinivasan, 2022. "Informational Price Cascades and Non-Aggregation of Asymmetric Information in Experimental Asset Markets," Journal of Behavioral Finance, Taylor & Francis Journals, vol. 23(4), pages 388-407, November.
    8. Ciril Bosch-Rosa & Thomas Meissner & Antoni Bosch-Domènech, 2018. "Cognitive bubbles," Experimental Economics, Springer;Economic Science Association, vol. 21(1), pages 132-153, March.
    9. James C. Cox & Vjollca Sadiraj, 2018. "Incentives," Experimental Economics Center Working Paper Series 2018-01, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    10. Mutlu, Asli & Roy, Debraj & Filatova, Tatiana, 2023. "Capitalized value of evolving flood risks discount and nature-based solution premiums on property prices," Ecological Economics, Elsevier, vol. 205(C).
    11. repec:isu:genstf:201501010800005579 is not listed on IDEAS
    12. Bezu, Sosina & Holden, Stein T., 2013. "Generosity and social distance in dictator game field experiments with and without a face," CLTS Working Papers 1/13, Norwegian University of Life Sciences, Centre for Land Tenure Studies, revised 10 Oct 2019.
    13. David A. Matsa & Amalia R. Miller, 2014. "Workforce Reductions at Women-Owned Businesses in the United States," ILR Review, Cornell University, ILR School, vol. 67(2), pages 422-452, April.
    14. Giuseppe Attanasi & Samuele Centorrino & Elena Manzoni, 2020. "Zero-Intelligence vs. Human Agents: An Experimental Analysis of the Efficiency of Double Auctions and Over-the-Counter Markets of Varying Sizes," Working Papers 05/2020, University of Verona, Department of Economics.
    15. Reinstein, David & Hugh-Jones, David, 2010. "The Benefit of Anonymity in Public Goods Games," Economics Discussion Papers 2933, University of Essex, Department of Economics.
    16. Péter Elek & János Köllő, 2019. "Eliciting permanent and transitory undeclared work from matched administrative and survey data," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 46(3), pages 547-576, August.
    17. Glimcher, Paul & Tymula, Agnieszka & Woelbert, Eva, 2013. "Flexible valuations for consumer goods as measured by the Becker-DeGroot-Marschak mechanism," Working Papers 2013-20, University of Sydney, School of Economics.
    18. William Quinn, 2019. "Squeezing the bears: cornering risk and limits on arbitrage during the ‘British bicycle mania’, 1896–8," Economic History Review, Economic History Society, vol. 72(4), pages 1286-1311, November.
    19. Abderrezzak Benhabib & Amina Merabet & Mohamed Benachenhou & Yamina Grari & Fouzi Boudia & Hadjira Merabet, 2014. "Environmental and Individual Determinants of Female Entrepreneurship in Algeria: Applying the Structural Equation Modeling," Entrepreneurial Business and Economics Review, Centre for Strategic and International Entrepreneurship at the Cracow University of Economics., vol. 2(1), pages 65-80.
    20. John Duffy & Sourav Bhattacharya & Sun-Tak Kim, 2012. "Compulsory versus Voluntary Voting: An Experimental Study," Working Paper 492, Department of Economics, University of Pittsburgh, revised Aug 2013.
    21. Wayne E. Baker & Nathaniel Bulkley, 2014. "Paying It Forward vs. Rewarding Reputation: Mechanisms of Generalized Reciprocity," Organization Science, INFORMS, vol. 25(5), pages 1493-1510, October.

    More about this item

    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:plo:pone00:0092070. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.