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Externalities in the games over electrical power transmission networks

Author

Listed:
  • David Csercsik

    (Process Control Research Group - Computer and Automation Institute, Hungarian Academy of Sciences)

  • Laszlo A. Koczy

    (Institute of Economics - Hungarian Academy of Sciences)

Abstract

An electrical transmission network consists of producers, consumers and the power lines connecting them. We build an ideal (lossless) DC load flow model as a cooperative game over a graph with the producers and consumers located at the nodes, each described by a maximum supply or desired demand and the power lines represented by the edges, each with a given power transmission capacity and admittance value describing its ability to transmit electricity. Today's transmission networks are highly interconnected, but organisationally partitioned into several subnetworks, the so-called balancing groups with balanced production and consumption. We study the game of balancing group formation and show that the game contains widespread externalities that can be both negative and positive. We study the stability of the transportation network using the recursive core. While the game is clearly cohesive, we demonstrate that it is not necessarily superadditive. We argue that subadditivity may be a barrier to achieve full cooperation. Finally the model is extended to allow for the extension of the underlying transmission network.

Suggested Citation

  • David Csercsik & Laszlo A. Koczy, 2011. "Externalities in the games over electrical power transmission networks," CERS-IE WORKING PAPERS 1125, Institute of Economics, Centre for Economic and Regional Studies.
  • Handle: RePEc:has:discpr:1125
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    References listed on IDEAS

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    1. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    2. Hobbs, Benjamin F. & Kelly, Kevin A., 1992. "Using game theory to analyze electric transmission pricing policies in the United States," European Journal of Operational Research, Elsevier, vol. 56(2), pages 154-171, January.
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    4. Kóczy, László Á., 2009. "Sequential coalition formation and the core in the presence of externalities," Games and Economic Behavior, Elsevier, vol. 66(1), pages 559-565, May.
    5. Kleindorfer, Paul R. & Wu, D. -J. & Fernando, Chitru S., 2001. "Strategic gaming in electric power markets," European Journal of Operational Research, Elsevier, vol. 130(1), pages 156-168, April.
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    8. Neuhoff, Karsten & Barquin, Julian & Boots, Maroeska G. & Ehrenmann, Andreas & Hobbs, Benjamin F. & Rijkers, Fieke A.M. & Vazquez, Miguel, 2005. "Network-constrained Cournot models of liberalized electricity markets: the devil is in the details," Energy Economics, Elsevier, vol. 27(3), pages 495-525, May.
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    10. Yihsu Chen & Benjamin Hobbs & Sven Leyffer & Todd Munson, 2006. "Leader-Follower Equilibria for Electric Power and NO x Allowances Markets," Computational Management Science, Springer, vol. 3(4), pages 307-330, September.
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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Nem minden hálózat szuper (lehet szubadditív is)
      by Kóczy László in Kóczy játékelmélet blogja on 2011-05-30 18:18:00

    Citations

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    Cited by:

    1. Helga Habis & Dávid Csercsik, 2015. "Cooperation with Externalities and Uncertainty," Networks and Spatial Economics, Springer, vol. 15(1), pages 1-16, March.
    2. Dávid Csercsik, 2016. "Competition and Cooperation in a Bidding Model of Electrical Energy Trade," Networks and Spatial Economics, Springer, vol. 16(4), pages 1043-1073, December.
    3. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.
    4. David Csercsik, 2013. "Competition and cooperation in a PFF game theoretic model of electrical energy trade," CERS-IE WORKING PAPERS 1310, Institute of Economics, Centre for Economic and Regional Studies.
    5. Joris Morbee, 2014. "International Transport of Captured $$\hbox {CO}_2$$ CO 2 : Who Can Gain and How Much?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 57(3), pages 299-322, March.

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    More about this item

    Keywords

    Energy transmission networks; Cooperative game theory; Partition function form games; Externalities;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities

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