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Computation of Characteristic Function Values for Linear-State Differential Games

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  • G. Zaccour

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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
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    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.
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    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.
    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.
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    Cited by:

    1. Reddy, Puduru V. & Zaccour, Georges, 2016. "A friendly computable characteristic function," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 18-25.
    2. 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.
    3. 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.
    4. 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.
    5. Jørgensen, Steffen, 2010. "A dynamic game of waste management," Journal of Economic Dynamics and Control, Elsevier, vol. 34(2), pages 258-265, February.

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