IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v120y2013i3p364-368.html
   My bibliography  Save this article

Combining the endogenous choice of price/quantity and timing

Author

Listed:
  • Sun, Chia-Hung

Abstract

This paper builds a theory of endogenous role distribution (leader, follower, and Nash player) and of endogenous choice for the type of competition strategy (price and quantity) in a product differentiated duopoly model. We examine an extended game by adding a pre-play stage in which duopoly firms simultaneously decide whether to select a price contract or a quantity contract and also whether to move in the first period or in the second period before market competition. We demonstrate that the unique equilibrium outcome is simultaneous quantity competition if the goods are substitutes and simultaneous price competition if the goods are complements.

Suggested Citation

  • Sun, Chia-Hung, 2013. "Combining the endogenous choice of price/quantity and timing," Economics Letters, Elsevier, vol. 120(3), pages 364-368.
    • Handle: RePEc:eee:ecolet:v:120:y:2013:i:3:p:364-368
    DOI: 10.1016/j.econlet.2013.05.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176513002504
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2013.05.013?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. 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.
    2. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-653, October.
    3. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    4. Thisse, Jacques-Francois & Vives, Xavier, 1988. "On the Strategic Choice of Spatial Price Policy," American Economic Review, American Economic Association, vol. 78(1), pages 122-137, March.
    5. Morton I. Kamien & Nancy L. Schwartz, 1983. "Conjectural Variations," Canadian Journal of Economics, Canadian Economics Association, vol. 16(2), pages 191-211, May.
    6. 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.
    7. Sadanand, Asha & Sadanand, Venkatraman, 1996. "Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility," Journal of Economic Theory, Elsevier, vol. 70(2), pages 516-530, August.
    8. 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.
    9. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    10. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    11. Amir Rabah, 1995. "Endogenous Timing in Two-Player Games: A Counterexample," Games and Economic Behavior, Elsevier, vol. 9(2), pages 234-237, May.
    12. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-258, March.
    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. 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.
    2. Yasuhiko Nakamura, 2018. "Endogenous Market Structures in the Presence of a Socially Responsible Firm," Journal of Industry, Competition and Trade, Springer, vol. 18(3), pages 319-348, September.
    3. 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.
    4. 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.
    5. 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.
    6. 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.

    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. 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.
    2. Chia-Hung Sun, 2020. "Simultaneous and sequential choice in a symmetric two-player game with canyon-shaped payoffs," The Japanese Economic Review, Springer, vol. 71(2), pages 191-219, April.
    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. Chen, Jing & Chen, Bintong & Li, Wei, 2018. "Who should be pricing leader in the presence of customer returns?," European Journal of Operational Research, Elsevier, vol. 265(2), pages 735-747.
    5. Orlando I. Balboa & Andrew F. Daughety & Jennifer F. Reinganum, 2004. "Market Structure and the Demand for Free Trade," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 13(1), pages 125-150, March.
    6. Hoffmann, Magnus & Rota-Graziosi, Grégoire, 2012. "Endogenous timing in general rent-seeking and conflict models," Games and Economic Behavior, Elsevier, vol. 75(1), pages 168-184.
    7. von Stengel, Bernhard, 2010. "Follower payoffs in symmetric duopoly games," Games and Economic Behavior, Elsevier, vol. 69(2), pages 512-516, July.
    8. Matsui, Kenji, 2017. "When should a manufacturer set its direct price and wholesale price in dual-channel supply chains?," European Journal of Operational Research, Elsevier, vol. 258(2), pages 501-511.
    9. Madden, Paul & Pezzino, Mario, 2019. "Endogenous price leadership with an essential input," Games and Economic Behavior, Elsevier, vol. 118(C), pages 47-59.
    10. 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.
    11. Tesoriere, Antonio, 2008. "Endogenous R&D symmetry in linear duopoly with one-way spillovers," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 213-225, May.
    12. 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.
    13. Guth, Werner & Ritzberger, Klaus & van Damme, Eric, 2004. "On the Nash bargaining solution with noise," European Economic Review, Elsevier, vol. 48(3), pages 697-713, June.
    14. Matsui, Kenji, 2016. "Asymmetric product distribution between symmetric manufacturers using dual-channel supply chains," European Journal of Operational Research, Elsevier, vol. 248(2), pages 646-657.
    15. Hubert Kempf & Grégoire Rota Graziosi, 2010. "Leadership in Public Good Provision: A Timing Game Perspective," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 763-787, August.
    16. Arozamena, Leandro & Weinschelbaum, Federico, 2009. "Simultaneous vs. sequential price competition with incomplete information," Economics Letters, Elsevier, vol. 104(1), pages 23-26, July.
    17. Marco Marini & Giorgio Rodano, 2012. "Sequential vs Collusive Payoffs in Symmetric Duopoly Games," DIAG Technical Reports 2012-06, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    18. Luciano Fanti, 2016. "Endogenous timing under price competition and unions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 401-413, December.
    19. Pau Balart & Sabine Flamand & Oliver Gürtler & Orestis Troumpounis, 2018. "Sequential choice of sharing rules in collective contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(5), pages 703-724, October.
    20. Makoto Yano & Takashi Komatsubara, 2018. "Price competition or price leadership," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 1023-1057, December.

    More about this item

    Keywords

    Cournot competition; Bertrand competition; Simultaneous game; Sequential game; Endogenous timing;
    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:eee:ecolet:v:120:y:2013:i:3:p:364-368. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.