IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v145y2010i3d10.1007_s10957-010-9702-5.html
   My bibliography  Save this article

Subgame Consistent Solutions for Cooperative Stochastic Dynamic Games

Author

Listed:
  • D. W. K. Yeung

    (Hong Kong Shue Yan University
    St. Petersburg State University)

  • L. A. Petrosyan

    (St. Petersburg State University
    St. Petersburg State University)

Abstract

In cooperative games over time with uncertainty, a stringent condition (subgame consistency) is required for a dynamically stable solution. In particular, a cooperative solution is subgame consistent if an extension of the solution policy to a situation with a later starting time and any feasible state brought about by prior optimal behavior would remain optimal. This paper derives an analytically tractable payoff distribution procedure leading to the realization of subgame consistent solutions in cooperative stochastic dynamic games. This is the first time that subgame consistent solutions in discrete-time dynamic games under uncertainty are provided.

Suggested Citation

  • D. W. K. Yeung & L. A. Petrosyan, 2010. "Subgame Consistent Solutions for Cooperative Stochastic Dynamic Games," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 579-596, June.
    • Handle: RePEc:spr:joptap:v:145:y:2010:i:3:d:10.1007_s10957-010-9702-5
    DOI: 10.1007/s10957-010-9702-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-010-9702-5
    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/s10957-010-9702-5?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. D.W.K. Yeung & L.A. Petrosyan, 2005. "Subgame Consistent Solutions of a Cooperative Stochastic Differential Game with Nontransferable Payoffs," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 701-724, March.
    2. Leon A Petrosyan & Nikolay A Zenkevich, 2016. "Game Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9824, January.
    3. D. W. K. Yeung & L. A. Petrosyan, 2004. "Subgame Consistent Cooperative Solutions in Stochastic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 120(3), pages 651-666, 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. David W. K. Yeung & Leon A. Petrosyan, 2016. "A Cooperative Dynamic Environmental Game of Subgame Consistent Clean Technology Development," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-23, June.
    2. D. W. K. Yeung & L. A. Petrosyan, 2011. "Subgame Consistent Cooperative Solution of Dynamic Games with Random Horizon," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 78-97, July.
    3. David Yeung, 2014. "Dynamically consistent collaborative environmental management with production technique choices," Annals of Operations Research, Springer, vol. 220(1), pages 181-204, September.
    4. Denis Kuzyutin & Nadezhda Smirnova, 2020. "Subgame Consistent Cooperative Behavior in an Extensive form Game with Chance Moves," Mathematics, MDPI, vol. 8(7), pages 1-20, July.
    5. David Yeung & Ovanes Petrosian, 2017. "Infinite Horizon Dynamic Games: A New Approach via Information Updating," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-23, December.
    6. Leon A. Petrosyan & David W.K. Yeung, 2020. "Cooperative Dynamic Games with Durable Controls: Theory and Application," Dynamic Games and Applications, Springer, vol. 10(4), pages 872-896, December.
    7. David W. K. Yeung & Leon A. Petrosyan, 2019. "Cooperative Dynamic Games with Control Lags," Dynamic Games and Applications, Springer, vol. 9(2), pages 550-567, June.

    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. David Yeung, 2014. "Dynamically consistent collaborative environmental management with production technique choices," Annals of Operations Research, Springer, vol. 220(1), pages 181-204, September.
    2. Denis Kuzyutin & Nadezhda Smirnova, 2020. "Subgame Consistent Cooperative Behavior in an Extensive form Game with Chance Moves," Mathematics, MDPI, vol. 8(7), pages 1-20, July.
    3. Saglam, Ismail, 2016. "An Alternative Characterization for Iterated Kalai-Smorodinsky-Nash Compromise," MPRA Paper 73564, University Library of Munich, Germany.
    4. Ismail Saglam, 2017. "Iterated Kalai–Smorodinsky–Nash compromise," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 335-349, November.
    5. Miglo, Anton & Zenkevich, Nikolay, 2005. "Non-hierarchical signalling: two-stage financing game," MPRA Paper 1264, University Library of Munich, Germany, revised 2006.
    6. Engwerda, J.C., 2007. "Necessary and Sufficient Conditions for Solving Cooperative Differential Games," Discussion Paper 2007-42, Tilburg University, Center for Economic Research.
    7. Javier Frutos & Guiomar Martín-Herrán, 2015. "Does Flexibility Facilitate Sustainability of Cooperation Over Time? A Case Study from Environmental Economics," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 657-677, May.
    8. Engwerda, J.C., 2007. "Multicriteria Dynamic Optimization Problems and Cooperative Dynamic Games," Other publications TiSEM c7941fef-278b-42ca-a6b8-2, Tilburg University, School of Economics and Management.
    9. Pavel Konyukhovskiy & Victoria Holodkova & Aleksander Titov, 2019. "Modeling Competition between Countries in the Development of Arctic Resources," Resources, MDPI, vol. 8(1), pages 1-17, March.
    10. Elena M. Parilina & Puduru Viswanadha Reddy & Georges Zaccour, 2022. "Endogenous Duration of Long-term Agreements in Cooperative Dynamic Games with Nontransferable Utility," Journal of Optimization Theory and Applications, Springer, vol. 195(3), pages 808-836, December.
    11. Sokolovska, Olena & Sokolovskyi, Dmytro, 2015. "Tax evasion as a determinant of corruption: a game-theoretical analysis," MPRA Paper 66423, University Library of Munich, Germany, revised 2015.
    12. Paolo Bertoletti & Pierre Mouche, 2014. "Inferior factor in Cournot oligopoly revisited," Journal of Economics, Springer, vol. 112(1), pages 85-90, May.
    13. David W. K. Yeung & Leon A. Petrosyan, 2016. "A Cooperative Dynamic Environmental Game of Subgame Consistent Clean Technology Development," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-23, June.
    14. Daming You & Ke Jiang & Zhendong Li, 2018. "Optimal Coordination Strategy of Regional Vertical Emission Abatement Collaboration in a Low-Carbon Environment," Sustainability, MDPI, vol. 10(2), pages 1-18, February.
    15. D. W. K. Yeung & L. A. Petrosyan, 2004. "Subgame Consistent Cooperative Solutions in Stochastic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 120(3), pages 651-666, March.
    16. D.W.K. Yeung & L.A. Petrosyan, 2005. "Subgame Consistent Solutions of a Cooperative Stochastic Differential Game with Nontransferable Payoffs," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 701-724, March.
    17. Sergey Smirnov, 2019. "A Guaranteed Deterministic Approach to Superhedging—The Case of Convex Payoff Functions on Options," Mathematics, MDPI, vol. 7(12), pages 1-19, December.
    18. Engwerda, J.C., 2007. "A Note on Cooperative Linear Quadratic Control," Discussion Paper 2007-15, Tilburg University, Center for Economic Research.
    19. 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.
    20. Giovanni Rossi, 2009. "Measuring conflict and power in strategic settings," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(2), pages 75-104.

    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:joptap:v:145:y:2010:i:3:d:10.1007_s10957-010-9702-5. 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.