IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v117y2003i1d10.1023_a1023612725533.html
   My bibliography  Save this article

Computation of Characteristic Function Values for Linear-State Differential Games

Author

Listed:
  • G. Zaccour

    (HEC-)

Abstract

This paper addresses the issue of computation of the characteristic function values in a n-player linear-state cooperative differential game. One shows that the characteristic functions coincide under two different definitions of the strategic strength of coalitions. An illustrative example drawn from environmental economics is provided.

Suggested Citation

  • G. Zaccour, 2003. "Computation of Characteristic Function Values for Linear-State Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 183-194, April.
    • Handle: RePEc:spr:joptap:v:117:y:2003:i:1:d:10.1023_a:1023612725533
    DOI: 10.1023/A:1023612725533
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1023612725533
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1023612725533?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. 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.
    2. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    3. GERMAIN, Marc & TOINT, Philippe & TULKENS, Henry & DE ZEEUW, Aart, 1998. "Transfers to sustain core-theoretic cooperation in international stock pollutant control," LIDAM Discussion Papers CORE 1998032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Petrosjan, Leon & Zaccour, Georges, 2003. "Time-consistent Shapley value allocation of pollution cost reduction," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 381-398, January.
    5. Jorgensen, Steffen & Zaccour, Georges, 2001. "Time consistent side payments in a dynamic game of downstream pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1973-1987, December.
    6. List, John A. & Mason, Charles F., 2001. "Optimal Institutional Arrangements for Transboundary Pollutants in a Second-Best World: Evidence from a Differential Game with Asymmetric Players," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 277-296, November.
    7. 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, October.
    8. Martin Wade E. & Patrick Robert H. & Tolwinski Boleslaw, 1993. "A Dynamic Game of a Transboundary Pollutant with Asymmetric Players," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 1-12, July.
    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. 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.
    2. Jørgensen, Steffen, 2010. "A dynamic game of waste management," Journal of Economic Dynamics and Control, Elsevier, vol. 34(2), pages 258-265, February.
    3. Reddy, Puduru V. & Zaccour, Georges, 2016. "A friendly computable characteristic function," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 18-25.
    4. Elena Parilina & Leon Petrosyan, 2020. "On a Simplified Method of Defining Characteristic Function in Stochastic Games," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    5. Engwerda, J.C., 2012. "Prospects of Tools from Differential Games in the Study Of Macroeconomics of Climate Change," Discussion Paper 2012-045, Tilburg University, Center for Economic Research.

    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. Hassan Benchekroun & Amrita Ray Chaudhuri, 2015. "Cleaner Technologies and the Stability of International Environmental Agreements," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 887-915, December.
    2. M. Breton & G. Martín-Herrán & G. Zaccour, 2006. "Equilibrium Investment Strategies in Foreign Environmental Projects," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 23-40, July.
    3. Benchekroun, Hassan & Ray Chaudhuri, Amrita, 2014. "Transboundary pollution and clean technologies," Resource and Energy Economics, Elsevier, vol. 36(2), pages 601-619.
    4. 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.
    5. Benchekroun, H. & Ray Chaudhuri, A., 2010. "'The Voracity Effect' and Climate Change : The Impact of Clean Technologies," Discussion Paper 2010-97, Tilburg University, Center for Economic Research.
    6. Chen Ling & Michael Caputo, 2012. "The Envelope Theorem for Locally Differentiable Nash Equilibria of Discounted and Autonomous Infinite Horizon Differential Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 313-334, September.
    7. Insley, Margaret & A. Forsyth, Peter, 2019. "Climate games: Who’s on first? What’s on second?," L'Actualité Economique, Société Canadienne de Science Economique, vol. 95(2-3), pages 287-322, Juin-Sept.
    8. 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.
    9. Ekaterina Marova & Ekaterina Gromova & Polina Barsuk & Anastasia Shagushina, 2020. "On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control," Mathematics, MDPI, vol. 8(6), pages 1-24, June.
    10. Louis-Gaëtan Giraudet & Céline Guivarch, 2016. "Global warming as an asymmetric public bad," Working Papers 2016.26, FAERE - French Association of Environmental and Resource Economists.
    11. Margaret Insley & Tracy Snoddon & Peter A. Forsyth, 2018. "Strategic interactions and uncertainty in decisions to curb greenhouse gas emissions," Working Papers 1805, University of Waterloo, Department of Economics, revised 06 Jan 2018.
    12. 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.
    13. Akihiko Yanase, 2009. "Global environment and dynamic games of environmental policy in an international duopoly," Journal of Economics, Springer, vol. 97(2), pages 121-140, June.
    14. 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.
    15. repec:tiu:tiucen:200880 is not listed on IDEAS
    16. Li, Huiquan & Guo, Genlong, 2019. "A differential game analysis of multipollutant transboundary pollution in river basin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    17. Shoude Li, 2014. "A Differential Game of Transboundary Industrial Pollution with Emission Permits Trading," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 642-659, November.
    18. 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.
    19. 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.
    20. Yongxi Yi & Min Yang & Chunyan Fu, 2021. "Analysis of multiple ecological compensation strategies for transboundary pollution control in a river basin," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(6), pages 1579-1590, September.
    21. David Yeung, 2014. "Dynamically consistent collaborative environmental management with production technique choices," Annals of Operations Research, Springer, vol. 220(1), pages 181-204, September.

    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:117:y:2003:i:1:d:10.1023_a:1023612725533. 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.