IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v264y2018i2p717-731.html
   My bibliography  Save this article

Evaluating the strategic behavior of cement producers: An equilibrium problem with equilibrium constraints

Author

Listed:
  • Allevi, E.
  • Conejo, A.J.
  • Oggioni, G.
  • Riccardi, R.
  • Ruiz, C.

Abstract

This paper investigates the equilibria reached by a number of strategic producers in the cement sector through a technological representation of the market. We present a bilevel model for each producer that characterizes its profit maximizing behavior. In the bilevel model, the upper-level problem of each producer is constrained by a lower-level market clearing problem representing cement trading and whose objective function corresponds to social welfare. Replacing the lower level problem by its optimality condition yields a Mathematical Program with Equilibrium Constraints (MPEC). Then, all strategic producers are jointly considered. Representing their interaction requires solving jointly the interrelated MPECs of all producers, which results in an Equilibrium Problem with Equilibrium Constraints (EPEC).

Suggested Citation

  • Allevi, E. & Conejo, A.J. & Oggioni, G. & Riccardi, R. & Ruiz, C., 2018. "Evaluating the strategic behavior of cement producers: An equilibrium problem with equilibrium constraints," European Journal of Operational Research, Elsevier, vol. 264(2), pages 717-731.
    • Handle: RePEc:eee:ejores:v:264:y:2018:i:2:p:717-731
    DOI: 10.1016/j.ejor.2017.06.043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221717305842
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2017.06.043?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Meunier, Guy & Ponssard, Jean-Pierre, 2014. "Capacity decisions with demand fluctuations and carbon leakage," Resource and Energy Economics, Elsevier, vol. 36(2), pages 436-454.
    3. Jean Pierre Ponssard & Neil Walker, 2008. "EU emissions trading and the cement sector: a spatial competition analysis," Climate Policy, Taylor & Francis Journals, vol. 8(5), pages 467-493, September.
    4. RUIZ, Carlos & CONEJO, Antonio J. & SMEERS, Yves, 2012. "Equilibria in an oligopolistic electricity pool with stepwise offer curves," LIDAM Reprints CORE 2395, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Marcel Boyer & Jean-Pierre Ponssard, 2013. "Economic analysis of the European cement industry," CIRANO Working Papers 2013s-47, CIRANO.
    6. Riccardi, R. & Bonenti, F. & Allevi, E. & Avanzi, C. & Gnudi, A., 2015. "The steel industry: A mathematical model under environmental regulations," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1017-1027.
    7. Francisco Facchinei & Christian Kanzow, 2010. "Generalized Nash Equilibrium Problems," Annals of Operations Research, Springer, vol. 175(1), pages 177-211, March.
    8. Demailly, Damien & Quirion, Philippe, 2008. "Changing the Allocation Rules in the EU ETS: Impact on Competitiveness and Economic Efficiency," Climate Change Modelling and Policy Working Papers 46623, Fondazione Eni Enrico Mattei (FEEM).
    9. Harker, Patrick T., 1991. "Generalized Nash games and quasi-variational inequalities," European Journal of Operational Research, Elsevier, vol. 54(1), pages 81-94, September.
    10. Robin Smale & Murray Hartley & Cameron Hepburn & John Ward & Michael Grubb, 2006. "The impact of CO 2 emissions trading on firm profits and market prices," Climate Policy, Taylor & Francis Journals, vol. 6(1), pages 31-48, January.
    11. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Laura Carosi & Ana Camanho & Giovanna D’Inverno & Kristof Witte & Rossana Riccardi, 2020. "Preface to the special issue on performance measurement and efficiency analysis—theory and practice," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 409-412, December.
    2. G. Constante-Flores & A. J. Conejo & S. Constante-Flores, 2022. "Solving certain complementarity problems in power markets via convex programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(3), pages 465-491, October.
    3. Liu, Lu & Feng, Lipan & Jiang, Tao & Zhang, Qian, 2021. "The impact of supply chain competition on the introduction of clean development mechanisms," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 155(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. E. Allevi & G. Oggioni & R. Riccardi & M. Rocco, 2017. "An equilibrium model for the cement sector: EU-ETS analysis with power contracts," Annals of Operations Research, Springer, vol. 255(1), pages 63-93, August.
    2. Alexey Izmailov & Mikhail Solodov, 2014. "On error bounds and Newton-type methods for generalized Nash equilibrium problems," Computational Optimization and Applications, Springer, vol. 59(1), pages 201-218, October.
    3. Migot, Tangi & Cojocaru, Monica-G., 2020. "A parametrized variational inequality approach to track the solution set of a generalized nash equilibrium problem," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1136-1147.
    4. Han, Deren & Zhang, Hongchao & Qian, Gang & Xu, Lingling, 2012. "An improved two-step method for solving generalized Nash equilibrium problems," European Journal of Operational Research, Elsevier, vol. 216(3), pages 613-623.
    5. Shipra Singh & Aviv Gibali & Simeon Reich, 2021. "Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications," Mathematics, MDPI, vol. 9(14), pages 1-23, July.
    6. Kasina, Saamrat & Hobbs, Benjamin F., 2020. "The value of cooperation in interregional transmission planning: A noncooperative equilibrium model approach," European Journal of Operational Research, Elsevier, vol. 285(2), pages 740-752.
    7. Jiawang Nie & Xindong Tang & Lingling Xu, 2021. "The Gauss–Seidel method for generalized Nash equilibrium problems of polynomials," Computational Optimization and Applications, Springer, vol. 78(2), pages 529-557, March.
    8. Alexander Zerrahn & Daniel Huppmann, 2014. "Network Expansion to Mitigate Market Power: How Increased Integration Fosters Welfare," Discussion Papers of DIW Berlin 1380, DIW Berlin, German Institute for Economic Research.
    9. Christian Kanzow & Daniel Steck, 2018. "Augmented Lagrangian and exact penalty methods for quasi-variational inequalities," Computational Optimization and Applications, Springer, vol. 69(3), pages 801-824, April.
    10. Giancarlo Bigi & Mauro Passacantando, 2016. "Gap functions for quasi-equilibria," Journal of Global Optimization, Springer, vol. 66(4), pages 791-810, December.
    11. David Pozo & Enzo Sauma & Javier Contreras, 2017. "Basic theoretical foundations and insights on bilevel models and their applications to power systems," Annals of Operations Research, Springer, vol. 254(1), pages 303-334, July.
    12. L. F. Bueno & G. Haeser & F. Lara & F. N. Rojas, 2020. "An Augmented Lagrangian method for quasi-equilibrium problems," Computational Optimization and Applications, Springer, vol. 76(3), pages 737-766, July.
    13. Alexander Zerrahn & Daniel Huppmann, 2017. "Network Expansion to Mitigate Market Power," Networks and Spatial Economics, Springer, vol. 17(2), pages 611-644, June.
    14. 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.
    15. Nadja Harms & Tim Hoheisel & Christian Kanzow, 2015. "On a Smooth Dual Gap Function for a Class of Player Convex Generalized Nash Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 659-685, August.
    16. Venmans, Frank, 2012. "A literature-based multi-criteria evaluation of the EU ETS," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(8), pages 5493-5510.
    17. J. Contreras & J. B. Krawczyk & J. Zuccollo, 2016. "Economics of collective monitoring: a study of environmentally constrained electricity generators," Computational Management Science, Springer, vol. 13(3), pages 349-369, July.
    18. Fabio Antoniou & Panos Hatzipanayotou & Nikos Tsakiris, 2024. "Regulatory Stringency and Emission Leakage Mitigation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 87(6), pages 1407-1424, June.
    19. Anna Schwele & Christos Ordoudis & Pierre Pinson & Jalal Kazempour, 2021. "Coordination of power and natural gas markets via financial instruments," Computational Management Science, Springer, vol. 18(4), pages 505-538, October.
    20. Ming Hu & Masao Fukushima, 2011. "Variational Inequality Formulation of a Class of Multi-Leader-Follower Games," Journal of Optimization Theory and Applications, Springer, vol. 151(3), pages 455-473, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:264:y:2018:i:2:p:717-731. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.