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A Generalized Nash Equilibrium Model of Market Coupling in the European Power System


  • Giorgia Oggioni


  • Yves Smeers


  • Elisabetta Allevi


  • Siegfried Schaible



“Market Coupling” is currently seen as the most advanced market design in the restructuring of the European electricity market. Market Coupling, by construction, introduces what is generally referred to as an incomplete market: it leaves several constraints out of the market and hence avoids pricing them. This may or may not have important consequences in practice depending on the case on hand. Quasi-Variational Inequality problems and the associated Generalized Nash Equilibrium can be used for representing incomplete markets. Recent papers propose methods for finding a set of solutions of Quasi-Variational Inequality problems. We apply one of these methods to a subproblem of market coupling namely the coordination of counter-trading. This problem is an illustration of a more general question encountered, for instance, in hierarchical planning in production management. We first discuss the economic interpretation of the Quasi-Variational Inequality problem. We then apply the algorithmic approach to a set of stylized case studies in order to illustrate the impact of different organizations of counter-trading. The paper emphasizes the structuring of the problem. A companion paper considers the full problem of Market Coupling and counter-trading and presents a more extensive numerical analysis. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Giorgia Oggioni & Yves Smeers & Elisabetta Allevi & Siegfried Schaible, 2012. "A Generalized Nash Equilibrium Model of Market Coupling in the European Power System," Networks and Spatial Economics, Springer, vol. 12(4), pages 503-560, December.
  • Handle: RePEc:kap:netspa:v:12:y:2012:i:4:p:503-560 DOI: 10.1007/s11067-011-9166-7

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    References listed on IDEAS

    1. Harker, Patrick T., 1991. "Generalized Nash games and quasi-variational inequalities," European Journal of Operational Research, Elsevier, vol. 54(1), pages 81-94, September.
    2. Jong-Shi Pang & Masao Fukushima, 2005. "Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games," Computational Management Science, Springer, vol. 2(1), pages 21-56, January.
    3. Chao, Hung-Po & Peck, Stephen C, 1998. "Reliability Management in Competitive Electricity Markets," Journal of Regulatory Economics, Springer, vol. 14(2), pages 189-200, September.
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    Cited by:

    1. repec:kap:netspa:v:17:y:2017:i:4:d:10.1007_s11067-017-9363-0 is not listed on IDEAS
    2. repec:aen:journl:ej37-si3-zerrahn is not listed on IDEAS
    3. Tom Brijs & Daniel Huppmann & Sauleh Siddiqui & Ronnie Belmans, 2016. "Auction-Based Allocation of Shared Electricity Storage Resources through Physical Storage Rights," Discussion Papers of DIW Berlin 1566, DIW Berlin, German Institute for Economic Research.
    4. Grimm, Veronika & Martin, Alexander & Schmidt, Martin & Weibelzahl, Martin & Zöttl, Gregor, 2016. "Transmission and generation investment in electricity markets: The effects of market splitting and network fee regimes," European Journal of Operational Research, Elsevier, vol. 254(2), pages 493-509.
    5. Zerrahn, Alexander & Huppmann, Daniel, 2014. "Network Expansion to Mitigate Market Power: How Increased Integration Fosters Welfare," Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100459, Verein für Socialpolitik / German Economic Association.
    6. Helga Habis & Dávid Csercsik, 2015. "Cooperation with Externalities and Uncertainty," Networks and Spatial Economics, Springer, vol. 15(1), pages 1-16, March.
    7. repec:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-016-9333-y is not listed on IDEAS
    8. Huppmann, Daniel & Egerer, Jonas, 2015. "National-strategic investment in European power transmission capacity," European Journal of Operational Research, Elsevier, vol. 247(1), pages 191-203.
    9. Huppmann, Daniel & Egging, Ruud, 2014. "Market power, fuel substitution and infrastructure – A large-scale equilibrium model of global energy markets," Energy, Elsevier, vol. 75(C), pages 483-500.
    10. Joachim Bertsch & Simeon Hagspiel & Lisa Just, 2016. "Congestion management in power systems," Journal of Regulatory Economics, Springer, vol. 50(3), pages 290-327, December.
    11. repec:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-017-9338-1 is not listed on IDEAS
    12. Bjørndal, Endre & Bjørndal, Mette & Rud, Linda & Alangi, Somayeh Rahimi, 2017. "Market Power Under Nodal and Zonal Congestion Management Techniques," Discussion Papers 2017/14, Norwegian School of Economics, Department of Business and Management Science.
    13. Kunz, Friedrich & Zerrahn, Alexander, 2015. "Benefits of coordinating congestion management in electricity transmission networks: Theory and application to Germany," Utilities Policy, Elsevier, vol. 37(C), pages 34-45.
    14. 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.
    15. Jan Abrell & Friedrich Kunz, 2015. "Integrating Intermittent Renewable Wind Generation - A Stochastic Multi-Market Electricity Model for the European Electricity Market," Networks and Spatial Economics, Springer, vol. 15(1), pages 117-147, March.
    16. Hélène Le Cadre, 2018. "On the Efficiency of Local Electricity Markets Under Decentralized and Centralized Designs: A Multi-leader Stackelberg Game Analysis," Working Papers hal-01619885, HAL.
    17. Astrid Gühnemann & Andrew Koh & Simon Shepherd, 2016. "Optimal Charging Strategies under Conflicting Objectives for the Protection of Sensitive Areas: A Case Study of the Trans-Pennine Corridor," Networks and Spatial Economics, Springer, vol. 16(1), pages 199-226, March.
    18. Bertsch, Joachim & Hagspiel, Simeon & Just, Lisa, 2016. "Congestion management in power systems - Long-term modeling framework and large-scale application," EWI Working Papers 2015-3, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).

    More about this item


    Generalized Nash Equilibrium; Quasi-Variational Inequalities; Market coupling; Counter-trading; European electricity market; D52; D58; Q40;

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General


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