IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v18y2016i02ns0219198916400077.html
   My bibliography  Save this article

Looking Forward Approach in Cooperative Differential Games

Author

Listed:
  • Petrosian Ovanes

    (Faculty of Applied Mathematics and Control Process, Saint-Petersburg State University, Universitetskii prospekt 35 Petergof, Saint-Petersburg 198504, Russia)

Abstract

New approach to the definition of solution in cooperative differential games is considered. The approach is based on artificially truncated information about the game. It assumed that at each time, instant players have information about the structure of the game (payoff functions, motion equations) only for the next fixed time interval. Based on this information they make the decision. Looking Forward Approach is applied to the cases when the players are not sure about the dynamics of the game on the whole time interval [0,T] and orient themselves on the game dynamics defined on the smaller time interval T¯ (0 < T¯ < T), on which they surely know that the game dynamics is not changing.

Suggested Citation

  • Petrosian Ovanes, 2016. "Looking Forward Approach in Cooperative Differential Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-14, June.
    • Handle: RePEc:wsi:igtrxx:v:18:y:2016:i:02:n:s0219198916400077
    DOI: 10.1142/S0219198916400077
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198916400077
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198916400077?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. Leon A Petrosyan & Nikolay A Zenkevich, 2016. "Game Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9824.
    2. 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.
    3. S. Jørgensen & D.W.K. Yeung, 1999. "Inter‐ and intragenerational renewableresource extraction," Annals of Operations Research, Springer, vol. 88(0), pages 275-289, January.
    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. Ovanes Petrosian, 2018. "About the Looking Forward Approach in Cooperative Differential Games with Transferable Utility," HSE Working papers WP BRP 183/EC/2018, National Research University Higher School of Economics.
    2. 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.
    3. Sokolov Boris & Okhtilev Mikhail & Potryasaev Semyon & Merkuryev Yuri, 2013. "Multi-model Description of Monitoring and Control Systems of Natural and Technological Objects," Information Technology and Management Science, Sciendo, vol. 16(1), pages 11-17, December.
    4. Saglam, Ismail, 2016. "An Alternative Characterization for Iterated Kalai-Smorodinsky-Nash Compromise," MPRA Paper 73564, University Library of Munich, Germany.
    5. G. Rossini, 2004. "Vertical integration in a stochastic framework and a nonsymmetric bargaining equilibrium," Working Papers 527, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. 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.
    7. Francisco Cabo & Mabel Tidball, 2022. "Cooperation in a Dynamic Setting with Asymmetric Environmental Valuation and Responsibility," Dynamic Games and Applications, Springer, vol. 12(3), pages 844-871, September.
    8. Miglo, Anton & Zenkevich, Nikolay, 2005. "Non-hierarchical signalling: two-stage financing game," MPRA Paper 1264, University Library of Munich, Germany, revised 2006.
    9. Zeng Lian & Jie Zheng, 2021. "A Dynamic Model of Cournot Competition for an Oligopolistic Market," Mathematics, MDPI, vol. 9(5), pages 1-18, February.
    10. 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.
    11. Ovanes Petrosian & Lihong Shi & Yin Li & Hongwei Gao, 2019. "Moving Information Horizon Approach for Dynamic Game Models," Mathematics, MDPI, vol. 7(12), pages 1-31, December.
    12. Germain, Marc & Tulkens, Henry & Magnus, Alphonse, 2010. "Dynamic core-theoretic cooperation in a two-dimensional international environmental model," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 208-226, March.
    13. Pashkus, Natalia A., 2014. "Using The Mechanism Of Harmonization Of Relations And Conflict Resolution In The Implementation Of Economic Innovation In Education System," Annals of marketing-mba, Department of Marketing, Marketing MBA (RSconsult), vol. 3, November.
    14. Adib Bagh, 2013. "Better Reply Security and Existence of Equilibria in Differential Games," Dynamic Games and Applications, Springer, vol. 3(3), pages 325-340, September.
    15. Achim Hagen & Pierre von Mouche & Hans-Peter Weikard, 2020. "The Two-Stage Game Approach to Coalition Formation: Where We Stand and Ways to Go," Games, MDPI, vol. 11(1), pages 1-31, January.
    16. Nikolay Zenkevich & Margarita Gladkova, 2016. "Price Competition on the Market of Counterfeiting Software," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-10, June.
    17. 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.
    18. B. D. Bernheim & S. N. Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 33-62.
    19. Simon Hoof, 2018. "Feedback Pareto weights in cooperative NTU differential games," Working Papers CIE 112, Paderborn University, CIE Center for International Economics.
    20. Paolo Bertoletti & Pierre Mouche, 2014. "Inferior factor in Cournot oligopoly revisited," Journal of Economics, Springer, vol. 112(1), pages 85-90, May.

    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:wsi:igtrxx:v:18:y:2016:i:02:n:s0219198916400077. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.