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Sustainability Of Cooperation Overtime In Linear-Quadratic Differential Games

Author

Listed:
  • STEFFEN JØRGENSEN

    (Department of Organization, University of Southern Denmark, Denmark)

  • GUIOMAR MARTÍN-HERRÁN

    (Departamento de Economía Aplicada (Matemáticas), Universidad de Valladolid, Spain)

  • GEORGES ZACCOUR

    (GERAD & Marketing Department, HEC Montréal, Canada)

Abstract

This note deals with time-consistency and agreeability, two dynamic individual rationality concepts, in special linear-quadratic differential games. Conditions ensuring their satisfaction are derived and a link between sustainability of cooperation and fair sharing of cooperation surplus is established.

Suggested Citation

  • Steffen Jørgensen & Guiomar Martín-Herrán & Georges Zaccour, 2005. "Sustainability Of Cooperation Overtime In Linear-Quadratic Differential Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 395-406.
    • Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:04:n:s0219198905000600
    DOI: 10.1142/S0219198905000600
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    References listed on IDEAS

    as
    1. 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.
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    Citations

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    Cited by:

    1. Zaruhi Hakobyan & Christos Koulovatianos, 2021. "Symmetric Markovian Games of Commons with Potentially Sustainable Endogenous Growth," Dynamic Games and Applications, Springer, vol. 11(1), pages 54-83, March.
    2. repec:tiu:tiucen:200880 is not listed on IDEAS
    3. Yuankan Huang & Takehiro Inohara, 2023. "Stable Markov perfect equilibria in the asymmetric differential-game duopoly with a renewable resource," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 45-63, April.
    4. 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.
    5. 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.
    6. Voss, Achim & Schopf, Mark, 2021. "Lobbying over exhaustible-resource extraction," European Economic Review, Elsevier, vol. 135(C).
    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. Benchekroun, Hassan & Ray Chaudhuri, Amrita, 2011. "Environmental policy and stable collusion: The case of a dynamic polluting oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 479-490, April.

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    More about this item

    Keywords

    Linear-quadratic differential games; cooperation; sustainability; time-consistency; agreeability;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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