IDEAS home Printed from https://ideas.repec.org/a/spr/jecrev/v71y2020i2d10.1007_s42973-019-00011-0.html
   My bibliography  Save this article

Simultaneous and sequential choice in a symmetric two-player game with canyon-shaped payoffs

Author

Listed:
  • Chia-Hung Sun

    (Soochow University)

Abstract

This paper investigates a symmetric two-player game with canyon-shaped payoffs, in which a player’s payoff function is smooth and concave above and below the diagonal, but not differentiable on the diagonal. We demonstrate that there exists a first-mover advantage when the two players move sequentially and a player’s preference to the opponent’s choice is monotonic and identical between a higher strategy player and a lower strategy player. We also show that our symmetric two-player game may yield the first-mover advantage outcome in an endogenous timing game with observable delay.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jecrev:v:71:y:2020:i:2:d:10.1007_s42973-019-00011-0
    DOI: 10.1007/s42973-019-00011-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s42973-019-00011-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s42973-019-00011-0?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. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
    3. Bontems, Philippe & Requillart, Vincent, 2001. "Remarks on good vs. bad characteristics in vertical differentiation," Economics Letters, Elsevier, vol. 70(3), pages 427-429, March.
    4. Hamilton, Jonathan H. & Thisse, Jacques-Francois & Weskamp, Anita, 1989. "Spatial discrimination : Bertrand vs. Cournot in a model of location choice," Regional Science and Urban Economics, Elsevier, vol. 19(1), pages 87-102, February.
    5. 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.
    6. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    7. Lambertini, Luca, 1997. "Unicity of the equilibrium in the unconstrained Hotelling model," Regional Science and Urban Economics, Elsevier, vol. 27(6), pages 785-798, November.
    8. Ulrich Lehmann-Grube, 1997. "Strategic Choice of Quality When Quality is Costly: The Persistence of the High-Quality Advantage," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 372-384, Summer.
    9. Reiko Aoki, 2003. "Effect of credible quality investment with Bertrand and Cournot competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 653-672, March.
    10. Amir, Rabah & Wooders, John, 2000. "One-Way Spillovers, Endogenous Innovator/Imitator Roles, and Research Joint Ventures," Games and Economic Behavior, Elsevier, vol. 31(1), pages 1-25, April.
    11. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 3-13.
    12. Giovanni Maggi, 1999. "The Value of Commitment with Imperfect Observability and Private Information," RAND Journal of Economics, The RAND Corporation, vol. 30(4), pages 555-574, Winter.
    13. van Damme, Eric & Hurkens, Sjaak, 1997. "Games with Imperfectly Observable Commitment," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 282-308, October.
    14. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    15. 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.
    16. Aoki, Reiko & Prusa, Thomas J., 1997. "Sequential versus simultaneous choice with endogenous quality," International Journal of Industrial Organization, Elsevier, vol. 15(1), pages 103-121, February.
    17. Amir, Rabah & Garcia, Filomena & Knauff, Malgorzata, 2010. "Symmetry-breaking in two-player games via strategic substitutes and diagonal nonconcavity: A synthesis," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1968-1986, September.
    18. 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.
    19. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    20. Reiko Aoki, 1998. "Strategic Complements with First Mover Advantage," Metroeconomica, Wiley Blackwell, vol. 49(3), pages 284-299, October.
    21. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    22. Garella, Paolo G. & Lambertini, Luca, 1999. "Good vs. bad characteristics in vertical differentiation," Economics Letters, Elsevier, vol. 65(2), pages 245-248, November.
    23. von Stengel, Bernhard, 2010. "Follower payoffs in symmetric duopoly games," Games and Economic Behavior, Elsevier, vol. 69(2), pages 512-516, July.
    24. Choi, Chong Ju & Shin, Hyun Song, 1992. "A Comment on a Model of Vertical Product Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 229-231, June.
    25. Amir Rabah, 1995. "Endogenous Timing in Two-Player Games: A Counterexample," Games and Economic Behavior, Elsevier, vol. 9(2), pages 234-237, May.
    26. Esther Gal-Or, 1987. "First Mover Disadvantages with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(2), pages 279-292.
    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. Arozamena, Leandro & Weinschelbaum, Federico, 2009. "Simultaneous vs. sequential price competition with incomplete information," Economics Letters, Elsevier, vol. 104(1), pages 23-26, July.
    2. Madden, Paul & Pezzino, Mario, 2019. "Endogenous price leadership with an essential input," Games and Economic Behavior, Elsevier, vol. 118(C), pages 47-59.
    3. 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.
    4. Lenhard, Severin, 2022. "Imperfect competition with costly disposal," International Journal of Industrial Organization, Elsevier, vol. 82(C).
    5. Sun, Chia-Hung, 2013. "Combining the endogenous choice of price/quantity and timing," Economics Letters, Elsevier, vol. 120(3), pages 364-368.
    6. Lenhard, Severin, 2022. "Imperfect Competition with Costly Disposal," VfS Annual Conference 2022 (Basel): Big Data in Economics 264038, Verein für Socialpolitik / German Economic Association.
    7. 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.
    8. 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.
    9. 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.
    10. von Stengel, Bernhard, 2010. "Follower payoffs in symmetric duopoly games," Games and Economic Behavior, Elsevier, vol. 69(2), pages 512-516, July.
    11. Chung, Bobby W. & Wood, Daniel H., 2019. "Threats and promises in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 165(C), pages 37-50.
    12. Li, Youping, 2014. "Price leadership in a vertically differentiated market," Economic Modelling, Elsevier, vol. 38(C), pages 67-70.
    13. 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".
    14. 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.
    15. 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.
    16. 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.
    17. Cumbul, Eray, 2021. "Stackelberg versus Cournot oligopoly with private information," International Journal of Industrial Organization, Elsevier, vol. 74(C).
    18. 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.
    19. 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.
    20. Magnus Hoffmann & Grégoire Rota‐Graziosi, 2020. "Endogenous timing in the presence of non‐monotonicities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(1), pages 359-402, February.

    More about this item

    Keywords

    Simultaneous game; Sequential game; Endogenous timing; Strategic complements; Strategic substitutes;
    All these keywords.

    JEL classification:

    • 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:spr:jecrev:v:71:y:2020:i:2:d:10.1007_s42973-019-00011-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.