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Competitive Analysis at the Cournot-Nash Equilibrium of an Interconnected Network

Received: 27 May 2024     Accepted: 14 June 2024     Published: 2 July 2024
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Abstract

The electric power network has long been subject to monopolization, encompassing production, transportation, and distribution sectors. However, recent liberalization efforts have introduced competition into the electricity market. To understand and manage this competition, game theory, a prominent tool in economics, is frequently employed. Specifically, competition within the electricity market has been analyzed through various game-theoretical models, including Bertrand's atomicity, Cournot's homogeneity, and Nash's research competition. These models aim to achieve the Cournot-Nash equilibrium, where each participant in the market makes optimal decisions given the strategies of others. To effectively allocate production and ensure a balance between supply and demand, as well as to maintain the stability of the interconnected network, one has adopted a method that combines Load Flow techniques with game theory principles. This hybrid approach enables a strategic distribution of power production, taking into account the competitive dynamics of the market. By integrating these methodologies, one can address the complexities of competition while ensuring efficient and stable operation of the power grid. This innovative approach not only enhances the management of electricity production and distribution but also fosters a more competitive and resilient power network. Moreover, the application of game theory in this context allows for a deeper understanding of strategic interactions among market participants. It helps in predicting behaviors, formulating strategies, and anticipating market changes, thus providing a robust framework for decision-making. This is particularly crucial in a liberalized market where multiple entities vie for market share and profitability. By employing game-theoretical insights, one can simulate various market scenarios, optimize resource allocation, and enhance overall market efficiency. Furthermore, this approach supports the integration of renewable energy sources by ensuring that their variable nature is accommodated within the grid's operational dynamics. In summary, the intersection of game theory and load flow methods offers a comprehensive solution to the challenges posed by a competitive electricity market, paving the way for a sustainable and efficient energy future.

Published in International Journal of Energy and Power Engineering (Volume 13, Issue 3)
DOI 10.11648/j.ijepe.20241303.12
Page(s) 52-62
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Electricity Market, Competition, Load Flow, Game Theory, Interconnected Network, Cournot-Nash

References
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[2] T. Penard, «Concurrence et économie industrielle» [Competition and Industrial Economics], cours d’Economie, Université de Rennes 1, 2008.
[3] J. P. Bouttes, J. M. Trochet, «La conception des règles des marchés de l’électricité ouverts à la concurrence» [The Design of Rules for Electricity Markets Open to Competition], revue de l’Institut d’Economie Publique, n°14 – 2004/1.
[4] E. Tovar, «Le modèle offre/demande en concurrence pure et parfaite» [The supply and demand model in perfect competition], Université Paris Nanterre, UMR EconomiX 2013.
[5] J. N. Druckman, « Political preference formation: competition, deliberation, and the relevance of framing effects», The University of Minnesota, Department of Political Science, july 2003, Meeting.
[6] J. Andreoni, «Warm-glow versus cold-prickle: The effects of positive and negative framing on cooperation in experiments», Stor, The Quarterly Journal of Economics, febroary 1995, Vol. 110, Article de recherche.
[7] A. Hammoudi, «Application de la théorie des jeux à l’économie publique et industrielle» [Application of game theory to public and industrial economics], Université Paris I, Economie et Sciences Sociales, Thèse soutenue le 16 avril 1993, HAL 2010.
[8] A. Matsumoto, F. Szidarovszky, «Game Theory and Its Applications», Springer, IERCU, 2016.
[9] G. Zaccour, «Théorie des jeux et marchés énergetiques: marché européen du gaz naturel et échanges d’électricité» [Game Theory and Energy Markets: The European Natural Gas Market and Electricity Trading], Ecole des Hautes études commerciales, Août 1987.
[10] J. V. Outrata, «Generalized mathematical program with equilibrium constraints», SIAM J. Control Optim. 38, 2000, 1623-1638.
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[12] J. P. Aubin, «Mathematical Methods of Game and Economic Theory», Amsterdam, The Netherlands: Elsevier, 1980.
[13] L. D. Muu, «On the Counot-Nash oligopolistic market equilibrium models with concave cost fuction», J. Glob. Optim. 41, 2007, 351-364.
[14] C. Day, «Oligopolistic competition in power networks: A conjectured supply function approach», IEEE Transactions on Power Systems 17, 2002, 597–607.
[15] J. Zhang, «Analysis of nonlinear duopoly game with heterogeneous players». Econ. Model., 2007, 24, 138–148.
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  • APA Style

    Voalintsoa, O., Randriamitantsoa, A. A., Rakotoniaina, S. H. (2024). Competitive Analysis at the Cournot-Nash Equilibrium of an Interconnected Network. International Journal of Energy and Power Engineering, 13(3), 52-62. https://doi.org/10.11648/j.ijepe.20241303.12

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    ACS Style

    Voalintsoa, O.; Randriamitantsoa, A. A.; Rakotoniaina, S. H. Competitive Analysis at the Cournot-Nash Equilibrium of an Interconnected Network. Int. J. Energy Power Eng. 2024, 13(3), 52-62. doi: 10.11648/j.ijepe.20241303.12

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    AMA Style

    Voalintsoa O, Randriamitantsoa AA, Rakotoniaina SH. Competitive Analysis at the Cournot-Nash Equilibrium of an Interconnected Network. Int J Energy Power Eng. 2024;13(3):52-62. doi: 10.11648/j.ijepe.20241303.12

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  • @article{10.11648/j.ijepe.20241303.12,
      author = {Onja Voalintsoa and Andry August Randriamitantsoa and Solofo Hery Rakotoniaina},
      title = {Competitive Analysis at the Cournot-Nash Equilibrium of an Interconnected Network
    },
      journal = {International Journal of Energy and Power Engineering},
      volume = {13},
      number = {3},
      pages = {52-62},
      doi = {10.11648/j.ijepe.20241303.12},
      url = {https://doi.org/10.11648/j.ijepe.20241303.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.20241303.12},
      abstract = {The electric power network has long been subject to monopolization, encompassing production, transportation, and distribution sectors. However, recent liberalization efforts have introduced competition into the electricity market. To understand and manage this competition, game theory, a prominent tool in economics, is frequently employed. Specifically, competition within the electricity market has been analyzed through various game-theoretical models, including Bertrand's atomicity, Cournot's homogeneity, and Nash's research competition. These models aim to achieve the Cournot-Nash equilibrium, where each participant in the market makes optimal decisions given the strategies of others. To effectively allocate production and ensure a balance between supply and demand, as well as to maintain the stability of the interconnected network, one has adopted a method that combines Load Flow techniques with game theory principles. This hybrid approach enables a strategic distribution of power production, taking into account the competitive dynamics of the market. By integrating these methodologies, one can address the complexities of competition while ensuring efficient and stable operation of the power grid. This innovative approach not only enhances the management of electricity production and distribution but also fosters a more competitive and resilient power network. Moreover, the application of game theory in this context allows for a deeper understanding of strategic interactions among market participants. It helps in predicting behaviors, formulating strategies, and anticipating market changes, thus providing a robust framework for decision-making. This is particularly crucial in a liberalized market where multiple entities vie for market share and profitability. By employing game-theoretical insights, one can simulate various market scenarios, optimize resource allocation, and enhance overall market efficiency. Furthermore, this approach supports the integration of renewable energy sources by ensuring that their variable nature is accommodated within the grid's operational dynamics. In summary, the intersection of game theory and load flow methods offers a comprehensive solution to the challenges posed by a competitive electricity market, paving the way for a sustainable and efficient energy future.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Competitive Analysis at the Cournot-Nash Equilibrium of an Interconnected Network
    
    AU  - Onja Voalintsoa
    AU  - Andry August Randriamitantsoa
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    DO  - 10.11648/j.ijepe.20241303.12
    T2  - International Journal of Energy and Power Engineering
    JF  - International Journal of Energy and Power Engineering
    JO  - International Journal of Energy and Power Engineering
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    EP  - 62
    PB  - Science Publishing Group
    SN  - 2326-960X
    UR  - https://doi.org/10.11648/j.ijepe.20241303.12
    AB  - The electric power network has long been subject to monopolization, encompassing production, transportation, and distribution sectors. However, recent liberalization efforts have introduced competition into the electricity market. To understand and manage this competition, game theory, a prominent tool in economics, is frequently employed. Specifically, competition within the electricity market has been analyzed through various game-theoretical models, including Bertrand's atomicity, Cournot's homogeneity, and Nash's research competition. These models aim to achieve the Cournot-Nash equilibrium, where each participant in the market makes optimal decisions given the strategies of others. To effectively allocate production and ensure a balance between supply and demand, as well as to maintain the stability of the interconnected network, one has adopted a method that combines Load Flow techniques with game theory principles. This hybrid approach enables a strategic distribution of power production, taking into account the competitive dynamics of the market. By integrating these methodologies, one can address the complexities of competition while ensuring efficient and stable operation of the power grid. This innovative approach not only enhances the management of electricity production and distribution but also fosters a more competitive and resilient power network. Moreover, the application of game theory in this context allows for a deeper understanding of strategic interactions among market participants. It helps in predicting behaviors, formulating strategies, and anticipating market changes, thus providing a robust framework for decision-making. This is particularly crucial in a liberalized market where multiple entities vie for market share and profitability. By employing game-theoretical insights, one can simulate various market scenarios, optimize resource allocation, and enhance overall market efficiency. Furthermore, this approach supports the integration of renewable energy sources by ensuring that their variable nature is accommodated within the grid's operational dynamics. In summary, the intersection of game theory and load flow methods offers a comprehensive solution to the challenges posed by a competitive electricity market, paving the way for a sustainable and efficient energy future.
    
    VL  - 13
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