IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v8y2018i2d10.1007_s13235-017-0221-y.html
   My bibliography  Save this article

Stochastic Differential Games for Which the Open-Loop Equilibrium is Subgame Perfect

Author

Listed:
  • Ricardo Josa-Fombellida

    (Universidad de Valladolid)

  • Juan Pablo Rincón-Zapatero

    (Universidad Carlos III de Madrid)

Abstract

It is generally admitted that a correct forecasting of uncertain variables needs Markov decision rules. In a dynamic game environment, this belief is reinforced if one focuses on credible actions of the players. Usually, subgame perfectness requires equilibrium strategies to be constructed on Markov rules. It comes as a surprise that there are interesting classes of stochastic differential games where the equilibrium based on open-loop strategies is subgame perfect. This fact is well known for deterministic games. We explore here the stochastic case, not dealt with up to now, identifying different game structures leading to the subgame perfectness of the open-loop equilibrium.

Suggested Citation

  • Ricardo Josa-Fombellida & Juan Pablo Rincón-Zapatero, 2018. "Stochastic Differential Games for Which the Open-Loop Equilibrium is Subgame Perfect," Dynamic Games and Applications, Springer, vol. 8(2), pages 379-400, June.
    • Handle: RePEc:spr:dyngam:v:8:y:2018:i:2:d:10.1007_s13235-017-0221-y
    DOI: 10.1007/s13235-017-0221-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13235-017-0221-y
    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/s13235-017-0221-y?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. Reinganum, Jennifer F., 1981. "Dynamic games of innovation," Journal of Economic Theory, Elsevier, vol. 25(1), pages 21-41, August.
    2. Fershtman, Chaim, 1989. "Fixed rules and decision rules : Time consistency and subgame perfection," Economics Letters, Elsevier, vol. 30(3), pages 191-194, September.
    3. S. Jørgensen & G. Martín-Herrán & G. Zaccour, 2003. "Agreeability and Time Consistency in Linear-State Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 119(1), pages 49-63, October.
    4. Reinganum, Jennifer F & Stokey, Nancy L, 1985. "Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 161-173, February.
    5. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, January.
    6. D. W. K. Yeung, 2001. "Infinite-Horizon Stochastic Differential Games with Branching Payoffs," Journal of Optimization Theory and Applications, Springer, vol. 111(2), pages 445-460, November.
    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. Colombo, Luca & Labrecciosa, Paola, 2018. "Consumer surplus-enhancing cooperation in a natural resource oligopoly," Journal of Environmental Economics and Management, Elsevier, vol. 92(C), pages 185-193.
    2. Frederick Ploeg & Aart Zeeuw, 1992. "International aspects of pollution control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 117-139, March.
    3. Benchekroun, Hassan & Breton, Michèle & Chaudhuri, Amrita Ray, 2019. "Mergers in nonrenewable resource oligopolies and environmental policies," European Economic Review, Elsevier, vol. 111(C), pages 35-52.
    4. José Daniel López-Barrientos & Ekaterina Viktorovna Gromova & Ekaterina Sergeevna Miroshnichenko, 2020. "Resource Exploitation in a Stochastic Horizon under Two Parametric Interpretations," Mathematics, MDPI, vol. 8(7), pages 1-29, July.
    5. Ricardo Josa-Fombellida & Juan Rincón-Zapatero, 2015. "Euler–Lagrange equations of stochastic differential games: application to a game of a productive asset," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 61-108, May.
    6. Benchekroun, Hassan & Withagen, Cees, 2012. "On price taking behavior in a nonrenewable resource cartel–fringe game," Games and Economic Behavior, Elsevier, vol. 76(2), pages 355-374.
    7. Luisito Bertinelli & Amer Tabakovic & Luca Marchiori & Benteng Zou, 2015. "Transboundary Pollution Abatement: The Impact of Unilateral Commitment in Differential Games," DEM Discussion Paper Series 15-02, Department of Economics at the University of Luxembourg.
    8. Colombo, Luca & Labrecciosa, Paola, 2022. "Product quality differentiation in a renewable resource oligopoly," Journal of Environmental Economics and Management, Elsevier, vol. 111(C).
    9. Barucci, Emilio, 2000. "Differential games with nonconvexities and positive spillovers," European Journal of Operational Research, Elsevier, vol. 121(1), pages 193-204, February.
    10. Kenji Fujiwara & Ngo Long, 2011. "Welfare Implications of Leadership in a Resource Market under Bilateral Monopoly," Dynamic Games and Applications, Springer, vol. 1(4), pages 479-497, December.
    11. Jacob Engwerda, 2007. "Algorithms for computing Nash equilibria in deterministic LQ games," Computational Management Science, Springer, vol. 4(2), pages 113-140, April.
    12. Fouad Ouardighi & Matan Shnaiderman & Federico Pasin, 2014. "Research and Development with Stock-Dependent Spillovers and Price Competition in a Duopoly," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 626-647, May.
    13. Colombo, Luca & Labrecciosa, Paola, 2019. "Stackelberg versus Cournot: A differential game approach," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 239-261.
    14. Ekaterina Gromova & Anastasiya Malakhova & Arsen Palestini, 2018. "Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration," Mathematics, MDPI, vol. 6(9), pages 1-17, September.
    15. Benchekroun, Hassan & Withagen, Cees, 2012. "On price taking behavior in a nonrenewable resource cartel–fringe game," Games and Economic Behavior, Elsevier, vol. 76(2), pages 355-374.
    16. Luca Lambertini, 2014. "Exploration For Nonrenewable Resources In A Dynamic Oligopoly: An Arrovian Result," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 1-11.
    17. Ngo Long, 2011. "Dynamic Games in the Economics of Natural Resources: A Survey," Dynamic Games and Applications, Springer, vol. 1(1), pages 115-148, March.
    18. Hao Xu & Ming Luo, 2022. "Optimal Environmental Policy in a Dynamic Transboundary Pollution Game: Emission Standards, Taxes, and Permit Trading," Sustainability, MDPI, vol. 14(15), pages 1-25, July.
    19. Luca Grilli, 2004. "A Differential Game for Renewable Resource Extraction Asymmetric Players and Asynchronous Horizons," Quaderni DSEMS lg_cart_2004, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    20. Colombo, Luca & Labrecciosa, Paola, 2013. "On the convergence to the Cournot equilibrium in a productive asset oligopoly," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 441-445.

    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:dyngam:v:8:y:2018:i:2:d:10.1007_s13235-017-0221-y. 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.