IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v67y2021i8p4789-4808.html
   My bibliography  Save this article

Multiregional Oligopoly with Capacity Constraints

Author

Listed:
  • Humoud Alsabah

    (Department of Industrial Engineering and Operations Research, Columbia University, New York, New York 10027)

  • Benjamin Bernard

    (Department of Economics, National Taiwan University, Taipei City, 10617 Taiwan)

  • Agostino Capponi

    (Department of Industrial Engineering and Operations Research, Columbia University, New York, New York 10027)

  • Garud Iyengar

    (Department of Industrial Engineering and Operations Research, Columbia University, New York, New York 10027)

  • Jay Sethuraman

    (Department of Industrial Engineering and Operations Research, Columbia University, New York, New York 10027)

Abstract

We develop a model of Cournot competition between capacity-constrained firms that sell a single good to multiple regions. We provide a novel characterization for the unique equilibrium allocation of the good across regions and design an algorithm to compute it. We show that a reduction in transportation costs by a firm may negatively impact the profit of all firms and reduce aggregate consumer surplus if such a firm is capacity constrained. Our results imply that policies promoting free trade may have unintended consequences and reduce aggregate welfare in capacity-constrained industries.

Suggested Citation

  • Humoud Alsabah & Benjamin Bernard & Agostino Capponi & Garud Iyengar & Jay Sethuraman, 2021. "Multiregional Oligopoly with Capacity Constraints," Management Science, INFORMS, vol. 67(8), pages 4789-4808, August.
  • Handle: RePEc:inm:ormnsc:v:67:y:2021:i:8:p:4789-4808
    DOI: 10.1287/mnsc.2020.3728
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.2020.3728
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.2020.3728?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. Corsetti, Giancarlo & Dedola, Luca, 2005. "A macroeconomic model of international price discrimination," Journal of International Economics, Elsevier, vol. 67(1), pages 129-155, September.
    2. Andrew Atkeson & Ariel Burstein, 2008. "Pricing-to-Market, Trade Costs, and International Relative Prices," American Economic Review, American Economic Association, vol. 98(5), pages 1998-2031, December.
    3. Knetter, Michael M, 1989. "Price Discrimination by U.S. and German Exporters," American Economic Review, American Economic Association, vol. 79(1), pages 198-210, March.
    4. Emi Nakamura & Dawit Zerom, 2010. "Accounting for Incomplete Pass-Through," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(3), pages 1192-1230.
    5. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    6. Kwangwoo Park & George Pennacchi, 2009. "Harming Depositors and Helping Borrowers: The Disparate Impact of Bank Consolidation," Review of Financial Studies, Society for Financial Studies, vol. 22(1), pages 1-40, January.
    7. 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.
    8. Anderson, Simon P. & Renault, Regis, 2003. "Efficiency and surplus bounds in Cournot competition," Journal of Economic Theory, Elsevier, vol. 113(2), pages 253-264, December.
    9. Gérard Gaudet & Stephen W. Salant, 1991. "Uniqueness of Cournot Equilibrium: New Results From Old Methods," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 399-404.
    10. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    11. Philippe Bacchetta & Eric van Wincoop, 2003. "Why Do Consumer Prices React Less Than Import Prices to Exchange Rates?," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 662-670, 04/05.
    12. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-459, June.
    13. E. Glen Weyl & Michal Fabinger, 2013. "Pass-Through as an Economic Tool: Principles of Incidence under Imperfect Competition," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 528-583.
    14. Seade, J., 1985. "Profitable Cost Increases and the Shifting of Taxation: Equilibrium Responses of Markets in Oligopoly," Economic Research Papers 269225, University of Warwick - Department of Economics.
    15. Brander, James A., 1981. "Intra-industry trade in identical commodities," Journal of International Economics, Elsevier, vol. 11(1), pages 1-14, February.
    16. Warren Boeker & Jerry Goodstein & John Stephan & Johann Peter Murmann, 1997. "Competition in a Multimarket Environment: The Case of Market Exit," Organization Science, INFORMS, vol. 8(2), pages 126-142, April.
    17. Jian Yao & Ilan Adler & Shmuel S. Oren, 2008. "Modeling and Computing Two-Settlement Oligopolistic Equilibrium in a Congested Electricity Network," Operations Research, INFORMS, vol. 56(1), pages 34-47, February.
    18. Seade, J, 1985. "Profitable Cost Increases and the Shifting of Taxation : Equilibrium Response of Markets in Oligopoly," The Warwick Economics Research Paper Series (TWERPS) 260, University of Warwick, Department of Economics.
    19. Kostas Bimpikis & Shayan Ehsani & Rahmi İlkılıç, 2019. "Cournot Competition in Networked Markets," Management Science, INFORMS, vol. 67(6), pages 2467-2481, June.
    20. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(2), pages 133-134.
    21. Nagurney, Anna, 1988. "Algorithms for oligopolistic market equilibrium problems," Regional Science and Urban Economics, Elsevier, vol. 18(3), pages 425-445, August.
    22. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    23. Andreas Ehrenmann & Karsten Neuhoff, 2009. "A Comparison of Electricity Market Designs in Networks," Operations Research, INFORMS, vol. 57(2), pages 274-286, April.
    24. Rorden Wilkinson & Erin Hannah & James Scott, 2016. "The WTO in Nairobi: The Demise of the Doha Development Agenda and the Future of the Multilateral Trading System," Global Policy, London School of Economics and Political Science, vol. 7(2), pages 247-255, May.
    25. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
    26. Hau Leung Lee & Morris A. Cohen, 1985. "Multi-Agent Customer Allocation in a Stochastic Service System," Management Science, INFORMS, vol. 31(6), pages 752-763, June.
    27. Schnitkey, Gary, 2018. "2018 Income Projections After Recent Price Declines," farmdoc daily, University of Illinois at Urbana-Champaign, Department of Agricultural and Consumer Economics, vol. 8, July.
    28. Patrick T. Harker, 1986. "Alternative Models of Spatial Competition," Operations Research, INFORMS, vol. 34(3), pages 410-425, June.
    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. Zhu, Haoruo & Ni, Yaodong & Yang, Meng & Song, Qinyu, 2023. "Blessing or curse? Impact of incomplete information in a networked cournot competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).

    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. E. Glen Weyl & Michal Fabinger, 2013. "Pass-Through as an Economic Tool: Principles of Incidence under Imperfect Competition," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 528-583.
    2. Raphael A. Auer, 2015. "Exchange Rate Pass‐Through, Domestic Competition, and Inflation: Evidence from the 2005–08 Revaluation of the Renminbi," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(8), pages 1617-1650, December.
    3. Waldyr Areosa & Marta Areosa, 2012. "The Signaling Effect of Exchange Rates: pass-through under dispersed information," Working Papers Series 282, Central Bank of Brazil, Research Department.
    4. Kostas Bimpikis & Shayan Ehsani & Rahmi İlkılıç, 2019. "Cournot Competition in Networked Markets," Management Science, INFORMS, vol. 67(6), pages 2467-2481, June.
    5. Rachel Griffith & Lars Nesheim & Martin O'Connell, 2018. "Income effects and the welfare consequences of tax in differentiated product oligopoly," Quantitative Economics, Econometric Society, vol. 9(1), pages 305-341, March.
    6. A. Auer, Raphael & Chaney, Thomas & Sauré, Philip, 2018. "Quality pricing-to-market," Journal of International Economics, Elsevier, vol. 110(C), pages 87-102.
    7. Natalie Chen & Wanyu Chung & Dennis Novy, 2022. "Vehicle Currency Pricing and Exchange Rate Pass-Through," Journal of the European Economic Association, European Economic Association, vol. 20(1), pages 312-351.
    8. Emi Nakamura & Dawit Zerom, 2010. "Accounting for Incomplete Pass-Through," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(3), pages 1192-1230.
    9. Auer, Raphael A. & Schoenle, Raphael S., 2016. "Market structure and exchange rate pass-through," Journal of International Economics, Elsevier, vol. 98(C), pages 60-77.
    10. Chen, Natalie & Juvenal, Luciana, 2016. "Quality, trade, and exchange rate pass-through," Journal of International Economics, Elsevier, vol. 100(C), pages 61-80.
    11. Fevrier, Philippe & Linnemer, Laurent, 2004. "Idiosyncratic shocks in an asymmetric Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 835-848, June.
    12. Zahra Sheidaei, 2023. "Firm specific pass through and heterogeneity," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 47(1), pages 142-156, March.
    13. Jørgensen, Finn & Santos, Georgina, 2014. "Charges on transport – To what extent are they passed on to users?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 69(C), pages 183-195.
    14. Cédric Duprez & Glenn Magerman, 2019. "Price Updating with Production Networks," Working Papers ECARES 2019-07, ULB -- Universite Libre de Bruxelles.
    15. Emi Nakamura & Jón Steinsson, 2012. "Lost in Transit: Product Replacement Bias and Pricing to Market," American Economic Review, American Economic Association, vol. 102(7), pages 3277-3316, December.
    16. Jacquelyn Pless & Arthur A. van Benthem, 2019. "Pass-Through as a Test for Market Power: An Application to Solar Subsidies," American Economic Journal: Applied Economics, American Economic Association, vol. 11(4), pages 367-401, October.
    17. Burstein, Ariel & Gopinath, Gita, 2014. "International Prices and Exchange Rates," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 391-451, Elsevier.
    18. Anne Sibert, 1992. "Exchange Rates, Market Structure, Prices and Imports," The Economic Record, The Economic Society of Australia, vol. 68(3), pages 233-239, September.
    19. Juan Esteban Carranza & Alejandra González-Ramírez & Alex Perez & Juan Sebastián Vélez-Velásquez, 2024. "Exchange rate pass-through in the Colombian car market," International Economics and Economic Policy, Springer, vol. 21(1), pages 151-179, February.
    20. Melo, Carolina & Moita, Rodrigo & Sunao, Stefanie, 2021. "Passing through the supply chain: Implications for market power," International Journal of Industrial Organization, Elsevier, vol. 79(C).

    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:inm:ormnsc:v:67:y:2021:i:8:p:4789-4808. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.