Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-1693
Title: Multiplicity of equilibria in conjectural variations models of natural gas markets
Authors : Baltensperger, Tobias
Füchslin, Rudolf Marcel
Krütli, Pius
Lygeros, John
Published in : European Journal of Operational Research
Volume(Issue) : 252
Issue : 2
Publisher / Ed. Institution : Elsevier
Issue Date: 16-Oct-2015
Language : Englisch / English
Subjects : OR in energy; Conjectural variations; Existence and uniqueness of solutions; Natural gas market; Linear complementarity program
Subject (DDC) : 333: Boden-, Ressourcen- und Energiewirtschaft
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.
Departement: School of Engineering
Publication type: Beitrag in wissenschaftlicher Zeitschrift / Article in scientific Journal
DOI : 10.1016/j.ejor.2016.01.032
10.21256/zhaw-1693
ISSN: 0377-2217
URI: https://digitalcollection.zhaw.ch/handle/11475/2692
Other identifiers : arXiv:1510.04473v1
Appears in Collections:Publikationen School of Engineering

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