IDEAS home Printed from https://ideas.repec.org/p/bge/wpaper/1443.html
   My bibliography  Save this paper

On the Endogenous Order of Play in Sequential Games

Author

Listed:
  • Anke Gerber
  • Salvador BarberÃ

Abstract

We formalize, under the name of games of addition, the strategic inter- action between agents that can play non-simultaneously by adding payoff relevant actions to those that any other players or themselves have already taken previously, but may also agree unanimously to stop adding them and collect the payoffs associated with the truncated sequence of moves. Our formalization differs from that of extensive form games in that the order of the agents' moves is not predetermined but emerges endogenously when applying an adapted version of a solution concept proposed by Dutta, Jackson and Le Breton (2004). We provide results regarding the properties of solutions to games of addition, and we also compare their corresponding equilibria with those we would obtain if using extensive form games and subgame perfection as alternative tools of analysis.

Suggested Citation

  • Anke Gerber & Salvador BarberÃ, 2024. "On the Endogenous Order of Play in Sequential Games," Working Papers 1443, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:1443
    as

    Download full text from publisher

    File URL: https://bw.bse.eu/wp-content/uploads/2024/05/1443-file.pdf
    Download Restriction: no
    ---><---

    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. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    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. Ludovic Julien, 2011. "A note on Stackelberg competition," Journal of Economics, Springer, vol. 103(2), pages 171-187, June.
    2. Valentin Goranko & Paolo Turrini, 2016. "Two-Player Preplay Negotiation Games with Conditional Offers," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-31, March.
    3. Bade, Sophie & Haeringer, Guillaume & Renou, Ludovic, 2009. "Bilateral commitment," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1817-1831, July.
    4. Zivan Forshner & Oz Shy, 2009. "Constant Best-Response Functions: Interpreting Cournot," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 8(1), pages 1-6, April.
    5. Renou, Ludovic, 2009. "Commitment games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 488-505, May.
    6. Juan Carlos Bárcena-Ruiz & F. Javier Casado-Izaga, 2005. "Spatial competition and the duration of managerial incentive contracts," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 331-349, May.
    7. Matsui, Kenji, 2020. "Optimal bargaining timing of a wholesale price for a manufacturer with a retailer in a dual-channel supply chain," European Journal of Operational Research, Elsevier, vol. 287(1), pages 225-236.
    8. Ciwei Dong & Liu Yang & Chi To Ng, 2020. "Quantity Leadership for a Dual-Channel Supply Chain with Retail Service," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(02), pages 1-32, March.
    9. Corrado Benassi & Alessandra Chirco & Caterina Colombo, 2021. "Efficiency of bilateral delegation in a mixed Cournot duopoly," Metroeconomica, Wiley Blackwell, vol. 72(3), pages 493-508, July.
    10. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    11. Battigalli, Pierpaolo & Bonanno, Giacomo, 1997. "The Logic of Belief Persistence," Economics and Philosophy, Cambridge University Press, vol. 13(1), pages 39-59, April.
    12. Terracol, Antoine & Vaksmann, Jonathan, 2009. "Dumbing down rational players: Learning and teaching in an experimental game," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 54-71, May.
    13. Szabó, György & Borsos, István & Szombati, Edit, 2019. "Games, graphs and Kirchhoff laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 416-423.
    14. Shi, Yi & Deng, Yawen & Wang, Guoan & Xu, Jiuping, 2020. "Stackelberg equilibrium-based eco-economic approach for sustainable development of kitchen waste disposal with subsidy policy: A case study from China," Energy, Elsevier, vol. 196(C).
    15. Lambertini, Luca, 1997. "Prisoners' Dilemma in Duopoly (Super)Games," Journal of Economic Theory, Elsevier, vol. 77(1), pages 181-191, November.
    16. Marco Marini & Alberto Zevi, 2011. "‘Just one of us’: consumers playing oligopoly in mixed markets," Journal of Economics, Springer, vol. 104(3), pages 239-263, November.
    17. Hamid Beladi & Avik Chakrabarti & Sugata Marjit, 2013. "A Mixed GOLE Model of Cross-Border Mergers and Trade," Working Papers 0143eco, College of Business, University of Texas at San Antonio.
    18. Marc Le Menestrel, 2003. "A one-shot Prisoners’ Dilemma with procedural utility," Economics Working Papers 819, Department of Economics and Business, Universitat Pompeu Fabra.
    19. Cheng‐Kuang Wu & Yi‐Ming Chen & Dachrahn Wu & Ching‐Lin Chi, 2020. "A Game Theory Approach for Assessment of Risk and Deployment of Police Patrols in Response to Criminal Activity in San Francisco," Risk Analysis, John Wiley & Sons, vol. 40(3), pages 534-549, March.
    20. Yushi Tsunoda, 2022. "When should a firm set its selling price to cope with gray market trade?," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(1), pages 16-25, January.

    More about this item

    Keywords

    sequential games; order of play;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bge:wpaper:1443. 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: Bruno Guallar (email available below). General contact details of provider: https://edirc.repec.org/data/bargses.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.