Multiplicity of equilibria in conjectural variations models of natural gas markets

Baltensperger, Tobias; Füchslin, Rudolf Marcel; Krütli, Pius; Lygeros, John

doi:10.21256/zhaw-1693

Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-1693

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Multiplicity of equilibria in conjectural variations models of natural gas markets
Authors:	Baltensperger, Tobias Füchslin, Rudolf Marcel Krütli, Pius Lygeros, John
DOI:	10.21256/zhaw-1693 10.1016/j.ejor.2016.01.032
Published in:	European Journal of Operational Research
Volume(Issue):	252
Issue:	2
Issue Date:	16-Oct-2015
Publisher / Ed. Institution:	Elsevier
ISSN:	0377-2217
Other identifiers:	arXiv:1510.04473v1
Language:	English
Subjects:	OR in energy; Conjectural variations; Existence and uniqueness of solutions; Natural gas market; Linear complementarity program
Subject (DDC):	333: Economics of land and resources
Abstract:	Spatial partial equilibrium models incorporating conjectural variations are widely used to analyze the development of oligopolistic multi-agent markets, such as international energy and raw material markets. Although this model type can produce multiple equilibria under commonly used assumptions, to the best of our knowledge, the consequences for the interpretation of the model results have not yet been explored in detail. To this end, we derive a linear complementarity model for the gas market and discuss under which assumptions on the model structure a component of the solution is unique. In particular, we find that the gas flow between a trader and a consumer is unique whenever the trader is modeled to exert market power in the consumer’s market. We demonstrate our findings by computing the extreme points of the polyhedral solution space and show that erroneous conclusions could be drawn whenever only one (arbitrary) point in the solution space is picked for interpretation. Furthermore, we discuss whether economically meaningful parameter value changes exist which would enforce uniqueness in all components of the solution.
URI:	https://digitalcollection.zhaw.ch/handle/11475/2692
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Appears in collections:	Publikationen School of Engineering

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Baltensperger, T., Füchslin, R. M., Krütli, P., & Lygeros, J. (2015). Multiplicity of equilibria in conjectural variations models of natural gas markets. European Journal of Operational Research, 252(2). https://doi.org/10.21256/zhaw-1693

Baltensperger, T. et al. (2015) ‘Multiplicity of equilibria in conjectural variations models of natural gas markets’, European Journal of Operational Research, 252(2). Available at: https://doi.org/10.21256/zhaw-1693.

T. Baltensperger, R. M. Füchslin, P. Krütli, and J. Lygeros, “Multiplicity of equilibria in conjectural variations models of natural gas markets,” European Journal of Operational Research, vol. 252, no. 2, Oct. 2015, doi: 10.21256/zhaw-1693.

BALTENSPERGER, Tobias, Rudolf Marcel FÜCHSLIN, Pius KRÜTLI und John LYGEROS, 2015. Multiplicity of equilibria in conjectural variations models of natural gas markets. European Journal of Operational Research. 16 Oktober 2015. Bd. 252, Nr. 2. DOI 10.21256/zhaw-1693

Baltensperger, Tobias, Rudolf Marcel Füchslin, Pius Krütli, and John Lygeros. 2015. “Multiplicity of Equilibria in Conjectural Variations Models of Natural Gas Markets.” European Journal of Operational Research 252 (2). https://doi.org/10.21256/zhaw-1693.

Baltensperger, Tobias, et al. “Multiplicity of Equilibria in Conjectural Variations Models of Natural Gas Markets.” European Journal of Operational Research, vol. 252, no. 2, Oct. 2015, https://doi.org/10.21256/zhaw-1693.