IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v18y2018i2p18n4.html
   My bibliography  Save this article

Endogenous Timing in Vertically-Related Markets

Author

Listed:
  • Din Hong-Ren

    (Department of Tourism and Hospitality, TransWorld University, No. 1221, Zhennan Rd., Douliu City, Yunlin County 640, Taiwan)

  • Sun Chia-Hung

    (Department of Economics, Soochow University, No. 56, Kueiyang Street, Section 1, Taipei100, Taiwan)

Abstract

This paper investigates the theory of endogenous timing by taking into account a vertically-related market where an integrated firm competes with a downstream firm. Contrary to the standard results in the literature, we find that both firms play a sequential game in quantity competition and play a simultaneous game in price competition. Under mixed quantity-price competition, the firm choosing a price strategy moves first and the other firm choosing a quantity strategy moves later in equilibrium. Given that the timing of choosing actions is determined endogenously, aggregate profit (consumer surplus) is higher (lower) under price competition than under quantity competition. Lastly, social welfare is higher under quantity competition than under price competition when the degree of product substitutability is relatively low.

Suggested Citation

  • Din Hong-Ren & Sun Chia-Hung, 2018. "Endogenous Timing in Vertically-Related Markets," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-18, July.
    • Handle: RePEc:bpj:bejtec:v:18:y:2018:i:2:p:18:n:4
    DOI: 10.1515/bejte-2016-0103
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/bejte-2016-0103
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/bejte-2016-0103?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. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
    2. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    3. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    4. 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.
    5. DeGraba, Patrick, 1990. "Input Market Price Discrimination and the Choice of Technology," American Economic Review, American Economic Association, vol. 80(5), pages 1246-1253, December.
    6. Albaek, Svend, 1990. "Stackelberg Leadership as a Natural Solution under Cost Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 38(3), pages 335-347, March.
    7. 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.
    8. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
    9. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    10. José Naya, 2015. "Endogenous timing in a mixed duopoly model," Journal of Economics, Springer, vol. 116(2), pages 165-174, October.
    11. 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.
    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. Lee, DongJoon & Choi, Kangsik & Hwang, Kyu-Chan, 2014. "Reverse First-mover and Second-mover Advantage in a Vertical Structure," MPRA Paper 59803, University Library of Munich, Germany.
    2. Yasuhiko Nakamura, 2019. "Combining the Endogenous Choice of the Timing of Setting the Levels of Strategic Contracts and Their Contents in a Managerial Mixed Duopoly," Journal of Industry, Competition and Trade, Springer, vol. 19(2), pages 235-261, June.
    3. Yasuhiko Nakamura, 2019. "Endogenous Choice of the Timing of Setting Incentive Parameters and the Strategic Contracts in a Managerial Mixed Duopoly with a Welfare-Based Delegation Contract and a Sales Delegation Contract," Journal of Industry, Competition and Trade, Springer, vol. 19(4), pages 679-737, December.
    4. Toshihiro Matsumura & Akira Ogawa, 2014. "Corporate Social Responsibility or Payoff Asymmetry? A Study of an Endogenous Timing Game," Southern Economic Journal, John Wiley & Sons, vol. 81(2), pages 457-473, October.
    5. Nakamura, Yasuhiko, 2019. "Combining the endogenous choice of the timing of setting incentive parameters and the contents of strategic contracts in a managerial mixed duopoly," International Review of Economics & Finance, Elsevier, vol. 59(C), pages 207-233.
    6. Hong-Ren Din & Chia-Hung Sun, 2016. "Combining the endogenous choice of timing and competition version in a mixed duopoly," Journal of Economics, Springer, vol. 118(2), pages 141-166, June.
    7. Yasuhiko Nakamura, 2020. "Endogenously choosing the timing of setting strategic contracts’ levels and content in a managerial mixed duopoly with welfare-based and sales delegation contracts," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 67(3), pages 363-402, September.
    8. Emmanuel Petrakis & Panagiotis Skartados, 2022. "First-mover advantage reversals under passive cross forward ownership in vertically related markets," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 303-311, October.
    9. 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.
    10. Chul‐Hi Park & Sang‐Ho Lee, 2023. "Environmental corporate social responsibility under price competition and the second‐mover advantage: An endogenous timing approach," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 817-829, December.
    11. João Correia-da-Silva & Joana Pinho, 2018. "Collusion in mixed oligopolies and the coordinated effects of privatization," Journal of Economics, Springer, vol. 124(1), pages 19-55, May.
    12. Daisuke Hirata & Toshihiro Matsumura, 2011. "Price leadership in a homogeneous product market," Journal of Economics, Springer, vol. 104(3), pages 199-217, November.
    13. Arturo García & Mariel Leal & Sang-Ho Lee, 2019. "Endogenous Timing with a Socially Responsible Firm," Korean Economic Review, Korean Economic Association, vol. 35, pages 345-370.
    14. Haraguchi, Junichi & Matsumura, Toshihiro, 2014. "Price versus quantity in a mixed duopoly with foreign penetration," Research in Economics, Elsevier, vol. 68(4), pages 338-353.
    15. Haraguchi, Junichi & Hirose, Kosuke, 2018. "Endogenous Timing in a Price-Setting Mixed Oligopoly," MPRA Paper 87285, University Library of Munich, Germany.
    16. Qing Hu & Tomomichi Mizuno, 2021. "Endogenous timing and manufacturer advertising: A note," Metroeconomica, Wiley Blackwell, vol. 72(2), pages 309-320, May.
    17. Toshihiro Matsumura & Akira Ogawa, 2017. "Inefficient but Robust Public Leadership," Journal of Industry, Competition and Trade, Springer, vol. 17(4), pages 387-398, December.
    18. Chen, Jiaqi & Lee, Sang-Ho, 2020. "Endogenous timing game with R&D decisions and output subsidies," MPRA Paper 99503, University Library of Munich, Germany.
    19. Junichi Haraguchi & Toshihiro Matsumura, 2020. "Endogenous public and private leadership with diverging social and private marginal costs," Manchester School, University of Manchester, vol. 88(5), pages 699-730, September.
    20. Sang-Ho Lee & Lili Xu, 2018. "Endogenous timing in private and mixed duopolies with emission taxes," Journal of Economics, Springer, vol. 124(2), pages 175-201, June.

    More about this item

    Keywords

    Bertrand competition; Cournot competition; Endogenous timing; Vertically-related markets;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

    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:bpj:bejtec:v:18:y:2018:i:2:p:18:n:4. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.