IDEAS home Printed from https://ideas.repec.org/a/wly/iecrev/v55y2014i3p943-958.html
   My bibliography  Save this article

Dynamic Price Competition With Capacity Constraints And A Strategic Buyer

Author

Listed:
  • James J. Anton
  • Gary Biglaiser
  • Nikolaos Vettas

Abstract

We analyze a simple dynamic durable good model. Two incumbent sellers and potential entrants choose their capacities at the start of the game. We solve for equilibrium capacity choices and the (necessarily mixed) pricing strategies. In equilibrium, the buyer splits the order with positive probability to preserve competition, making it possible that a high and low price seller both have sales. Sellers command a rent above the value of unmet demand by the other seller. A buyer benefits from either a commitment not to make future purchases or by hiring an agent to always buy from the lowest priced seller.

Suggested Citation

  • James J. Anton & Gary Biglaiser & Nikolaos Vettas, 2014. "Dynamic Price Competition With Capacity Constraints And A Strategic Buyer," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(3), pages 943-958, August.
  • Handle: RePEc:wly:iecrev:v:55:y:2014:i:3:p:943-958
    DOI: 10.1111/iere.12077
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/iere.12077
    Download Restriction: no

    File URL: https://libkey.io/10.1111/iere.12077?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. Val Eugene Lambson, 1987. "Optimal Penal Codes in Price-setting Supergames with Capacity Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 385-397.
    2. David Besanko & Ulrich Doraszelski, 2004. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 23-49, Spring.
    3. Vettas, Nikolaos & Biglaiser, Gary, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, C.E.P.R. Discussion Papers.
    4. Mireia Jofre-Bonet & Martin Pesendorfer, 2003. "Estimation of a Dynamic Auction Game," Econometrica, Econometric Society, vol. 71(5), pages 1443-1489, September.
    5. Marc Dudey, 1992. "Dynamic Edgeworth-Bertrand Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(4), pages 1461-1477.
    6. Roman Inderst, 2008. "Single sourcing versus multiple sourcing," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 199-213, March.
    7. Pankaj Ghemawat, 1997. "Games Businesses Play: Cases and Models," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262071827, December.
    8. Dan Kovenock & Raymond Deneckere & Tom Faith & Beth Allen, 2000. "Capacity precommitment as a barrier to entry: A Bertrand-Edgeworth approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 501-530.
    9. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January.
    10. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    11. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    12. Garcia, Alfredo & Reitzes, James D & Stacchetti, Ennio, 2001. "Strategic Pricing when Electricity is Storable," Journal of Regulatory Economics, Springer, vol. 20(3), pages 223-247, November.
    13. Cabral, Luis M B & Riordan, Michael H, 1994. "The Learning Curve, Market Dominance, and Predatory Pricing," Econometrica, Econometric Society, vol. 62(5), pages 1115-1140, September.
    14. James J. Anton & Dennis A. Yao, 1992. "Coordination in Split Award Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 681-707.
    15. James J. Anton & Dennis A. Yao, 1989. "Split Awards, Procurement, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 538-552, Winter.
    16. Willis R. Greer, Jr. & Shu S. Liao, 1986. "An Analysis of Risk and Return in the Defense Market: Its Impact on Weapon System Competition," Management Science, INFORMS, vol. 32(10), pages 1259-1273, October.
    17. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 27-41.
    18. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    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. Torsten J. Gerpott & Jan Berends, 2022. "Competitive pricing on online markets: a literature review," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 21(6), pages 596-622, December.
    2. Abdullah Dasci & Kemal Guler, 2019. "Dynamic Strategic Procurement from Capacitated Suppliers," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 990-1009, April.
    3. Bru, Lluís & Cardona, Daniel & Sákovics, József, 2023. "Block sourcing plus," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1130-1140.
    4. Fabio Antoniou & Raffaele Fiocco, 2023. "Storable Good Market With Intertemporal Cost Variations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(1), pages 361-385, February.

    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. Vettas, Nikolaos & Biglaiser, Gary, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, C.E.P.R. Discussion Papers.
    2. Abdullah Dasci & Kemal Guler, 2019. "Dynamic Strategic Procurement from Capacitated Suppliers," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 990-1009, April.
    3. Vettas, Nikolaos & Kotseva, Rossitsa & Christou, Charalambos, 2007. "Pricing, Investments and Mergers with Intertemporal Capacity Constraints," CEPR Discussion Papers 6433, C.E.P.R. Discussion Papers.
    4. Knittel, Christopher R. & Lepore, Jason J., 2010. "Tacit collusion in the presence of cyclical demand and endogenous capacity levels," International Journal of Industrial Organization, Elsevier, vol. 28(2), pages 131-144, March.
    5. Victor Martínez-de-Albéniz & Kalyan Talluri, 2011. "Dynamic Price Competition with Fixed Capacities," Management Science, INFORMS, vol. 57(6), pages 1078-1093, June.
    6. Knittel, Christopher R. & Lepore, Jason J., 2010. "Tacit collusion in the presence of cyclical demand and endogenous capacity levels," International Journal of Industrial Organization, Elsevier, vol. 28(2), pages 131-144, March.
    7. Bhaskar, Venkataraman, 2013. "Dynamic Countervailing Power under Public and Private Monitoring," CEPR Discussion Papers 9526, C.E.P.R. Discussion Papers.
    8. Jacobs, Martin & Requate, Till, 2016. "Bertrand-Edgeworth markets with increasing marginal costs and voluntary trading: Experimental evidence," Economics Working Papers 2016-01, Christian-Albrechts-University of Kiel, Department of Economics.
    9. Allison, Blake A. & Lepore, Jason J., 2014. "Verifying payoff security in the mixed extension of discontinuous games," Journal of Economic Theory, Elsevier, vol. 152(C), pages 291-303.
    10. Simon Loertscher, 2008. "Market Making Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 56(2), pages 263-289, June.
    11. Lepore Jason J, 2009. "Consumer Rationing and the Cournot Outcome," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-46, September.
    12. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
    13. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2020. "A general model of price competition with soft capacity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 95-120, July.
    14. Attila Tasnádi, 2016. "Endogenous timing of moves in Bertrand–Edgeworth triopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 317-334, December.
    15. Antoniou, Fabio & Fiocco, Raffaele & Guo, Dongyu, 2017. "Asymmetric price adjustments: A supply side approach," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 335-360.
    16. Fabra, Natalia, 2006. "Collusion with capacity constraints over the business cycle," International Journal of Industrial Organization, Elsevier, vol. 24(1), pages 69-81, January.
    17. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium: Manipulable residual demand," Discussion Papers 04-15, Indian Statistical Institute, Delhi.
    18. García Díaz, Antón & Kujal, Praveen, 1998. "List princing and pure strategy outcomes in a bertrand edgeworth duopoly," UC3M Working papers. Economics 6089, Universidad Carlos III de Madrid. Departamento de Economía.
    19. Massimo A. De Francesco & Neri Salvadori, 2022. "Bertrand–Edgeworth oligopoly: Characterization of mixed strategy equilibria when some firms are large and the others are small," Metroeconomica, Wiley Blackwell, vol. 73(3), pages 803-824, July.
    20. Niloofar Fadavi, 2022. "Subgame perfect Nash equilibrium for dynamic pricing competition with finite planning horizon," Papers 2208.02842, arXiv.org.

    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:wly:iecrev:v:55:y:2014:i:3:p:943-958. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/deupaus.html .

    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.