IDEAS home Printed from https://ideas.repec.org/p/hig/wpaper/183-ec-2018.html
   My bibliography  Save this paper

About the Looking Forward Approach in Cooperative Differential Games with Transferable Utility

Author

Listed:
  • Ovanes Petrosian

    (National Research University Higher School of Economics)

Abstract

This paper presents a complete description and the results of the Looking Forward Approach for cooperative differential games with transferable utility. The approach is used for constructing game theoretical models and defining solutions for conflict-controlled processes where information about the process updates dynamically or for differential games with dynamic updating. It is supposed that players lack certain information about the dynamical system and payoff function over the whole time interval on which the game is played. At each instant, information about the game structure updates, players receive new updated information about the dynamical system and payoff functions. A resource extraction game serves as an illustration in order to compare a cooperative trajectory, imputations, and the imputation distribution procedure in a game with the Looking Forward Approach and in the original game with a prescribed duration.

Suggested Citation

  • 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.
    • Handle: RePEc:hig:wpaper:183/ec/2018
    as

    Download full text from publisher

    File URL: https://wp.hse.ru/data/2018/02/26/1165105282/183EC2018.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Parkash Chander & Henry Tulkens, 2006. "A Core-Theoretic Solution for the Design of Cooperative Agreements on Transfrontier Pollution," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 176-193, Springer.
    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.
    4. Ovanes Petrosian & Andrey Barabanov, 2017. "Looking Forward Approach in Cooperative Differential Games with Uncertain Stochastic Dynamics," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 328-347, 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 & Lihong Shi & Yin Li & Hongwei Gao, 2019. "Moving Information Horizon Approach for Dynamic Game Models," Mathematics, MDPI, vol. 7(12), pages 1-31, December.
    2. 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.
    3. Marc GERMAIN & Henry TULKENS & Alphonse MAGNUS, 2009. "Dynamic core-theoretic cooperation in a two-dimensional international environmental model," LIDAM Discussion Papers IRES 2009015, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    4. 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.
    5. Johan Eyckmans & Michael Finus, 2006. "New roads to international environmental agreements: the case of global warming," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 391-414, December.
    6. Dritan Osmani & Richard S.J. Tol, 2008. "Evolution in time of Farsightedly Stable Coalitions: An Application of FUND," Working Papers FNU-162, Research unit Sustainability and Global Change, Hamburg University, revised May 2008.
    7. Parkash Chandler & Henry Tulkens & Jean-Pascal Ypersele & Stephane Willems, 2006. "The Kyoto Protocol: An Economic and Game Theoretic Interpretation," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 195-215, Springer.
    8. Casas, Omar J. & Romera, Rosario, 2011. "The international stock pollutant control: a stochastic formulation with transfers," DES - Working Papers. Statistics and Econometrics. WS ws112217, Universidad Carlos III de Madrid. Departamento de Estadística.
    9. Ansink, Erik & Gengenbach, Michael & Weikard, Hans-Peter, 2012. "River Sharing and Water Trade," Climate Change and Sustainable Development 122860, Fondazione Eni Enrico Mattei (FEEM).
    10. Yann Duval & Stephen Hamilton, 2002. "Strategic Environmental Policy and International Trade in Asymmetric Oligopoly Markets," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 9(3), pages 259-271, May.
    11. Hassan Benchekroun & Farnaz Taherkhani, 2014. "Adaptation and the Allocation of Pollution Reduction Costs," Dynamic Games and Applications, Springer, vol. 4(1), pages 32-57, March.
    12. repec:ebl:ecbull:v:17:y:2006:i:4:p:1-8 is not listed on IDEAS
    13. Johan Eyckmans & Cathrine Hagem, 2009. "The European Union's Potential for Strategic Emissions Trading through Minimal Permit Sale Contracts," CESifo Working Paper Series 2809, CESifo.
    14. Johan Eyckmans & Henry Tulkens, 2006. "Simulating Coalitionally Stable Burden Sharing Agreements for the Climate Change Problem," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 218-249, Springer.
    15. Miguel Borrero & Santiago J. Rubio, 2022. "An adaptation-mitigation game: does adaptation promote participation in international environmental agreements?," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 22(3), pages 439-479, September.
    16. Effrosyni Diamantoudi & Eftichios S. Sartzetakis, 2006. "Stable International Environmental Agreements: An Analytical Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(2), pages 247-263, May.
    17. Zili Yang, 2016. "Mitigation Cost And Climate Damage Versus Incentive Shifts Of Climate Coalition," Climate Change Economics (CCE), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 1-24, November.
    18. Nordhaus, William, 2013. "Integrated Economic and Climate Modeling," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1069-1131, Elsevier.
    19. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    20. Calvo, Emilio & Rubio, Santiago J., 2013. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," International Review of Environmental and Resource Economics, now publishers, vol. 6(4), pages 289-339, April.
    21. Marie-Laure Cabon-Dhersin & Shyama V. Ramani, 2006. "Can Social Externalities Solve the Small Coalitions Puzzle in International Environmental Agreements?," Economics Bulletin, AccessEcon, vol. 17(4), pages 1-8.

    More about this item

    Keywords

    Differential Games; Cooperative Differential Games; Looking Forward Approach; Time Consistency; Strong Time Consistency.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary 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:hig:wpaper:183/ec/2018. 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: Shamil Abdulaev or Shamil Abdulaev (email available below). General contact details of provider: https://edirc.repec.org/data/hsecoru.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.