IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v14y2023i4p53-d1182873.html
   My bibliography  Save this article

Price and Quantity Competition under Vertical Pricing

Author

Listed:
  • Debasmita Basak

    (Nottingham University Business School, University of Nottingham, Jubilee Campus, Wollaton Road, Nottingham NG8 1BB, UK
    UNEC Energy Economics Centre, Azerbaijan State University of Economics, Baku AZ1001, Azerbaijan)

Abstract

We consider a vertically related market where one quantity-setting and another price-setting downstream firm negotiate the terms of a two-part tariff contract with an upstream input supplier. In contrast to the traditional belief, we show that the price-setting firm produces a higher output and earns a higher profit than the quantity-setting firm when bargaining is decentralised. Additionally, both firms produce the same output, whereas the profit is higher under the price-setting firm than the quantity-setting firm when bargaining is centralised.

Suggested Citation

  • Debasmita Basak, 2023. "Price and Quantity Competition under Vertical Pricing," Games, MDPI, vol. 14(4), pages 1-8, June.
    • Handle: RePEc:gam:jgames:v:14:y:2023:i:4:p:53-:d:1182873
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/14/4/53/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2073-4336/14/4/53/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hirsch, Boris & Merkl, Christian & Müller, Steffen & Schnabel, Claus, 2014. "Centralized vs. Decentralized Wage Formation: The Role of Firms' Production Technology," IZA Discussion Papers 8242, Institute of Labor Economics (IZA).
    2. Danthine, Jean-Pierre & Hunt, Jennifer, 1994. "Wage Bargaining Structure, Employment and Economic Integration," Economic Journal, Royal Economic Society, vol. 104(424), pages 528-541, May.
    3. Chirco, Alessandra & Scrimitore, Marcella, 2013. "Choosing price or quantity? The role of delegation and network externalities," Economics Letters, Elsevier, vol. 121(3), pages 482-486.
    4. Bonnet, Céline & Dubois, Pierre, 2015. "Identifying Two Part Tariff Contracts with Buyer Power: Empirical Estimation on Food Retailing," TSE Working Papers 15-575, Toulouse School of Economics (TSE).
    5. Milliou, Chrysovalantou & Petrakis, Emmanuel, 2007. "Upstream horizontal mergers, vertical contracts, and bargaining," International Journal of Industrial Organization, Elsevier, vol. 25(5), pages 963-987, October.
    6. David Flath, 2012. "Are There Any Cournot Industries in Japan?," Japanese Economy, Taylor & Francis Journals, vol. 39(2), pages 3-36.
    7. Céline Bonnet & Pierre Dubois, 2010. "Inference on vertical contracts between manufacturers and retailers allowing for nonlinear pricing and resale price maintenance," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 139-164, March.
    8. Manasakis, Constantine & Vlassis, Minas, 2014. "Downstream mode of competition with upstream market power," Research in Economics, Elsevier, vol. 68(1), pages 84-93.
    9. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
    10. TAKASHI Sato, 1996. "On Cournot-Bertrand Mixed Duopolies," The Japanese Economic Review, Japanese Economic Association, vol. 47(4), pages 412-420, December.
    11. Basak, Debasmita & Wang, Leonard F.S., 2016. "Endogenous choice of price or quantity contract and the implications of two-part-tariff in a vertical structure," Economics Letters, Elsevier, vol. 138(C), pages 53-56.
    12. Patrick Rey & Thibaud Vergé, 2004. "Bilateral Control with Vertical Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(4), pages 728-746, Winter.
    13. Dastidar, Krishnendu Ghosh, 1997. "Comparing Cournot and Bertrand in a Homogeneous Product Market," Journal of Economic Theory, Elsevier, vol. 75(1), pages 205-212, July.
    14. Leonard Cheng, 1985. "Comparing Bertrand and Cournot Equilibria: A Geometric Approach," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 146-152, Spring.
    15. Arijit Mukherjee & Udo Broll & Soma Mukherjee, 2012. "Bertrand Versus Cournot Competition In A Vertical Structure: A Note," Manchester School, University of Manchester, vol. 80(5), pages 545-559, September.
    16. 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.
    17. Tremblay, Carol Horton & Tremblay, Victor J., 2011. "The Cournot-Bertrand model and the degree of product differentiation," Economics Letters, Elsevier, vol. 111(3), pages 233-235, June.
    18. Arya, Anil & Mittendorf, Brian & Sappington, David E.M., 2008. "Outsourcing, vertical integration, and price vs. quantity competition," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 1-16, January.
    19. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
    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. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
    2. Kangsik Choi & Seonyoung Lim, 2023. "Input Price Discrimination in Endogenous Competition Mode," The Japanese Economic Review, Springer, vol. 74(2), pages 301-330, April.
    3. Michael Polemis & Konstantinos Eleftheriou, 2018. "To Regulate Or To Deregulate? The Role Of Downstream Competition In Upstream Monopoly Vertically Linked Markets," Bulletin of Economic Research, Wiley Blackwell, vol. 70(1), pages 51-63, January.
    4. Luciano Fanti & Nicola Meccheri, 2015. "On the Cournot–Bertrand Profit Differential and the Structure of Unionisation in a Managerial Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 54(4), pages 266-287, December.
    5. Alipranti, Maria & Petrakis, Emmanuel, 2020. "Fixed fee discounts and Bertrand competition in vertically related markets," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 19-26.
    6. Lee, DongJoon & Choi, Kangsik & Nariu, Tatsuhiko, 2016. "Endogenous Choice of Price or Quantity Contract with Upstream R&D Investment: Linear Pricing and Two-part Tariff Contract with Bargaining," MPRA Paper 72752, University Library of Munich, Germany.
    7. Ki‐Dong Lee & Sunghee Choi & Kangsik Choi, 2020. "Bertrand versus Cournot competition in a downstream mixed oligopoly with foreign ownership," Bulletin of Economic Research, Wiley Blackwell, vol. 72(2), pages 101-120, April.
    8. Luciano Fanti & Marcella Scrimitore, 2019. "How to Compete? Cournot versus Bertrand in a Vertical Structure with an Integrated Input Supplier," Southern Economic Journal, John Wiley & Sons, vol. 85(3), pages 796-820, January.
    9. Hsiao-Chi Chen & Yunshyong Chow & Shi-Miin Liu, 2024. "Dynamics of Cournot and Bertrand Firms: Exploring Imitation and Replicator Processes," Dynamic Games and Applications, Springer, vol. 14(5), pages 1057-1092, November.
    10. Xingtang Wang & Jie Li, 2020. "Downstream rivals’ competition, bargaining, and welfare," Journal of Economics, Springer, vol. 131(1), pages 61-75, September.
    11. Olga Rozanova, 2017. "The possibility to renegotiate the contracts and the equilibrium mode of competition in vertically related markets," Economics Bulletin, AccessEcon, vol. 37(3), pages 1573-1580.
    12. Luciano Fanti & Marcella Scrimitore, 2017. "How to compete? Cournot vs. Bertrand in a vertical structure with an integrated input supplier," Discussion Papers 2017/221, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    13. Emanuele Bacchiega & Olivier Bonroy & Emmanuel Petrakis, 2018. "Contract contingency in vertically related markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 27(4), pages 772-791, October.
    14. Xu, Lili & Lee, Sang-Ho, 2024. "Endogenous competition with an integrated public utility firm under an output subsidy policy," Utilities Policy, Elsevier, vol. 87(C).
    15. Jiaqi Chen & Sang‐Ho Lee, 2023. "Cournot–Bertrand comparisons under R&D competition: Output versus R&D subsidies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(1), pages 77-100, March.
    16. Basak, Debasmita & Wang, Leonard F.S., 2016. "Endogenous choice of price or quantity contract and the implications of two-part-tariff in a vertical structure," Economics Letters, Elsevier, vol. 138(C), pages 53-56.
    17. Manasakis, Constantine & Vlassis, Minas, 2014. "Downstream mode of competition with upstream market power," Research in Economics, Elsevier, vol. 68(1), pages 84-93.
    18. Chang Ray-Yun & Hu Jin-Li & Lin Yan-Shu, 2018. "The Choice of Prices versus Quantities under Outsourcing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-20, July.
    19. Rupayan Pal, 2014. "Price and quantity competition in network goods duopoly: a reversal result," Economics Bulletin, AccessEcon, vol. 34(2), pages 1019-1027.
    20. Basak, Debasmita, 2017. "Cournot vs. Bertrand under centralised bargaining," Economics Letters, Elsevier, vol. 154(C), pages 124-127.

    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:gam:jgames:v:14:y:2023:i:4:p:53-:d:1182873. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.