IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v161y2022ics1366554522000965.html
   My bibliography  Save this article

Data envelopment analysis and stochastic equilibrium analysis for market power investigation in a bi-level market

Author

Listed:
  • Tseng, Chin-Yi
  • Lee, Chia-Yen
  • Wang, Qunwei
  • Wu, Changsong

Abstract

This study investigates how the exercise of market power affects the economic efficiency and revenue sharing in a bi-level market, which integrates upstream contract market and downstream wholesale market. We consider price volatility and identify Nash equilibrium restricted by the data envelopment analysis (DEA)-estimated capacity constraint. This study develops stochastic mixed complementarity problems (MiCP) models embedded with stochastic programming (SP) and robust optimization (RO) to address price uncertainty in a bi-level market. We investigate the exercise of market power: (1) wholesalers as leaders or (2) bilateral market power between manufacturers and wholesalers. A numerical study of the power generation market is conducted to validate the proposed stochastic MiCP models. The results show that price uncertainties in the upstream contract market have a significant effect in a bi-level market, and thus controlling price volatility in the upstream contract market will improve productivity and support policies. In addition, we suggest the wholesalers should be market leaders and the manufacturers should negotiate profit-sharing contracts with the wholesalers in a deregulated system.

Suggested Citation

  • Tseng, Chin-Yi & Lee, Chia-Yen & Wang, Qunwei & Wu, Changsong, 2022. "Data envelopment analysis and stochastic equilibrium analysis for market power investigation in a bi-level market," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:transe:v:161:y:2022:i:c:s1366554522000965
    DOI: 10.1016/j.tre.2022.102705
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554522000965
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tre.2022.102705?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. Steven A. Gabriel & Antonio J. Conejo & J. David Fuller & Benjamin F. Hobbs & Carlos Ruiz, 2013. "Complementarity Modeling in Energy Markets," International Series in Operations Research and Management Science, Springer, edition 127, number 978-1-4419-6123-5, September.
    2. Chiou, Yu-Chiun & Lan, Lawrence W. & Yen, Barbara T.H., 2012. "Route-based data envelopment analysis models," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 415-425.
    3. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 2008. "The Measurement of Productive Efficiency and Productivity Growth," OUP Catalogue, Oxford University Press, number 9780195183528.
    4. Lee, Chia-Yen, 2016. "Nash-profit efficiency: A measure of changes in market structures," European Journal of Operational Research, Elsevier, vol. 255(2), pages 659-663.
    5. Yanıkoğlu, İhsan & Gorissen, Bram L. & den Hertog, Dick, 2019. "A survey of adjustable robust optimization," European Journal of Operational Research, Elsevier, vol. 277(3), pages 799-813.
    6. Soovin Yoon & Laura A. Albert & Veronica M. White, 2021. "A Stochastic Programming Approach for Locating and Dispatching Two Types of Ambulances," Transportation Science, INFORMS, vol. 55(2), pages 275-296, March.
    7. Einy, Ezra & Haimanko, Ori & Moreno, Diego & Shitovitz, Benyamin, 2010. "On the existence of Bayesian Cournot equilibrium," Games and Economic Behavior, Elsevier, vol. 68(1), pages 77-94, January.
    8. Benjamin F. Hobbs & J. S. Pang, 2007. "Nash-Cournot Equilibria in Electric Power Markets with Piecewise Linear Demand Functions and Joint Constraints," Operations Research, INFORMS, vol. 55(1), pages 113-127, February.
    9. An, Kun & Ouyang, Yanfeng, 2016. "Robust grain supply chain design considering post-harvest loss and harvest timing equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 110-128.
    10. Chia-Yen Lee, 2019. "Proactive marginal productivity analysis for production shutdown decision by DEA," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(7), pages 1065-1078, July.
    11. Zhuang, Jifang & Gabriel, Steven A., 2008. "A complementarity model for solving stochastic natural gas market equilibria," Energy Economics, Elsevier, vol. 30(1), pages 113-147, January.
    12. Yang, Dong & Zhang, Lingge & Luo, Meifeng & Li, Feng, 2020. "Does shipping market affect international iron ore trade?– An equilibrium analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    13. Severin Borenstein & James B. Bushnell & Frank A. Wolak, 2002. "Measuring Market Inefficiencies in California's Restructured Wholesale Electricity Market," American Economic Review, American Economic Association, vol. 92(5), pages 1376-1405, December.
    14. Yu, Ming-Miin & Hsu, Shih-Hsun & Chang, Ching-Cheng & Lee, Duu-Hwa, 2008. "Productivity growth of Taiwan's major domestic airports in the presence of aircraft noise," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(3), pages 543-554, May.
    15. Chia -Yen Lee & Andrew L. Johnson, 2015. "Measuring Efficiency in Imperfectly Competitive Markets: An Example of Rational Inefficiency," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 702-722, February.
    16. Xian, Yujiao & Wang, Ke & Wei, Yi-Ming & Huang, Zhimin, 2019. "Would China’s power industry benefit from nationwide carbon emission permit trading? An optimization model-based ex post analysis on abatement cost savings," Applied Energy, Elsevier, vol. 235(C), pages 978-986.
    17. Acuña, Luceny Guzmán & Ríos, Diana Ramírez & Arboleda, Carlos Paternina & Ponzón, Esneyder González, 2018. "Cooperation model in the electricity energy market using bi-level optimization and Shapley value," Operations Research Perspectives, Elsevier, vol. 5(C), pages 161-168.
    18. Lee, Chia-Yen, 2018. "Mixed-strategy Nash equilibrium in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1013-1024.
    19. Cao, Qingning & Tang, Yuanzhao & Perera, Sandun & Zhang, Jianqiang, 2022. "Manufacturer- versus retailer-initiated bundling: Implications for the supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    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. Chia-Yen Lee & Chin-Yi Tseng, 2023. "Market Power and Efficiency Analysis in Bi-level Energy Transmission Market," Journal of Optimization Theory and Applications, Springer, vol. 196(2), pages 544-569, February.

    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. Chia-Yen Lee & Chin-Yi Tseng, 2023. "Market Power and Efficiency Analysis in Bi-level Energy Transmission Market," Journal of Optimization Theory and Applications, Springer, vol. 196(2), pages 544-569, February.
    2. Lee, Chia-Yen & Wang, Ke, 2019. "Nash marginal abatement cost estimation of air pollutant emissions using the stochastic semi-nonparametric frontier," European Journal of Operational Research, Elsevier, vol. 273(1), pages 390-400.
    3. Lee, Chia-Yen, 2018. "Mixed-strategy Nash equilibrium in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1013-1024.
    4. Fangqing Wei & Junfei Chu & Jiayun Song & Feng Yang, 2019. "A cross-bargaining game approach for direction selection in the directional distance function," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(3), pages 787-807, September.
    5. Buehler, Stefan & Burger, Anton & Ferstl, Robert, 2010. "The investment effects of price caps under imperfect competition: A note," Economics Letters, Elsevier, vol. 106(2), pages 92-94, February.
    6. Ke Wang & Yujiao Xian & Chia-Yen Lee & Yi-Ming Wei & Zhimin Huang, 2019. "On selecting directions for directional distance functions in a non-parametric framework: a review," Annals of Operations Research, Springer, vol. 278(1), pages 43-76, July.
    7. Qingxian An & Ping Wang & Honglin Yang & Zongrun Wang, 2021. "Fixed cost allocation in two-stage system using DEA from a noncooperative view," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 1077-1102, December.
    8. Hampf, Benjamin, 2017. "Rational inefficiency, adjustment costs and sequential technologies," European Journal of Operational Research, Elsevier, vol. 263(3), pages 1095-1108.
    9. Riepin, Iegor & Schmidt, Matthew & Baringo, Luis & Müsgens, Felix, 2022. "Adaptive robust optimization for European strategic gas infrastructure planning," Applied Energy, Elsevier, vol. 324(C).
    10. Susanne Koschker & Dominik Möst, 2016. "Perfect competition vs. strategic behaviour models to derive electricity prices and the influence of renewables on market power," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 661-686, July.
    11. Ali Kakhbod & Asuman Ozdaglar & Ian Schneider, 2018. "Selling Wind," Papers 1812.11420, arXiv.org.
    12. Ribó-Pérez, David & Van der Weijde, Adriaan H. & Álvarez-Bel, Carlos, 2019. "Effects of self-generation in imperfectly competitive electricity markets: The case of Spain," Energy Policy, Elsevier, vol. 133(C).
    13. Sina Heidari, 2020. "How Strategic Behavior of Natural Gas Exporters Can Affect the Sectors of Electricity, Heating, and Emission Trading during the European Energy Transition," Energies, MDPI, vol. 13(19), pages 1-20, September.
    14. Churkin, Andrey & Bialek, Janusz & Pozo, David & Sauma, Enzo & Korgin, Nikolay, 2021. "Review of Cooperative Game Theory applications in power system expansion planning," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    15. Hampf, Benjamin, 2016. "Rational Inefficiency, Adjustment Costs and Sequential Technologies," VfS Annual Conference 2016 (Augsburg): Demographic Change 145796, Verein für Socialpolitik / German Economic Association.
    16. Guo, Nongchao & Lo Prete, Chiara, 2019. "Cross-product manipulation with intertemporal constraints: An equilibrium model," Energy Policy, Elsevier, vol. 134(C).
    17. Moore, J. & Woo, C.K. & Horii, B. & Price, S. & Olson, A., 2010. "Estimating the option value of a non-firm electricity tariff," Energy, Elsevier, vol. 35(4), pages 1609-1614.
    18. Cambier, Adrien & Chardy, Matthieu & Figueiredo, Rosa & Ouorou, Adam & Poss, Michael, 2022. "Optimizing subscriber migrations for a telecommunication operator in uncertain context," European Journal of Operational Research, Elsevier, vol. 298(1), pages 308-321.
    19. Barros, Carlos Pestana & Williams, Jonathan, 2013. "The random parameters stochastic frontier cost function and the effectiveness of public policy: Evidence from bank restructuring in Mexico," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 98-108.
    20. Awad, Ahmed S.A. & Ahmed, Mohamed Hassan & El-Fouly, Tarek H.M. & Salama, Magdy M.A., 2017. "The impact of wind farm location and control strategy on wind generation penetration and market prices," Renewable Energy, Elsevier, vol. 106(C), pages 354-364.

    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:transe:v:161:y:2022:i:c:s1366554522000965. 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/wps/find/journaldescription.cws_home/600244/description#description .

    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.