Uniqueness of market equilibrium on a network: A peak-load pricing approach

Journal article
(Original article)

Publication Details

Author(s): Grimm V, Schewe L, Schmidt M, Zöttl G
Journal: European Journal of Operational Research
Publication year: 2017
Volume: 261
Journal issue: 3
Pages range: 971 - 983
ISSN: 0377-2217


 In this paper we establish conditions under which uniqueness of market equilibrium is obtained in a setup where prior to trading of electricity, transmission capacities between different market regions are fixed. In our setup, firms facing fluctuating demand decide on the size and location of production facilities. They make production decisions constrained by the invested capacities, taking into account that market prices (partially) reflect scarce transmission capacities between the different market zones. For this type of peak-load pricing model on a network we state general conditions for existence and uniqueness of the market equilibrium and provide a characterization of equilibrium investment and production. The presented analysis covers the cases of perfect competition and monopoly - the case of strategic firms is approximated by a conjectural variations approach. Our result is a prerequisite for analyzing regulatory policy options with computational multilevel equilibrium models, since uniqueness of the equilibrium at lower levels is of key importance when solving these models. Thus, our paper contributes to an evolving strand of literature that analyzes regulatory policy based on computational multilevel equilibrium models and aims at taking into account individual objectives of various agents, among them not only generators and customers but also, e.g., the regulator deciding on network expansion.

FAU Authors / FAU Editors

Grimm, Veronika Prof. Dr.
Zöttl, Gregor Prof. Dr.
Lehrstuhl für Volkswirtschaftslehre, insbesondere Wirtschaftstheorie
Professur für Volkswirtschaftslehre
Schewe, Lars PD Dr.
Economics - Discrete Optimization - Mathematics (EDOM)
Schmidt, Martin Prof. Dr.
Juniorprofessur für Optimierung von Energiesystemen

How to cite

Grimm, V., Schewe, L., Schmidt, M., & Zöttl, G. (2017). Uniqueness of market equilibrium on a network: A peak-load pricing approach. European Journal of Operational Research, 261(3), 971 - 983. https://dx.doi.org/10.1016/j.ejor.2017.03.036

Grimm, Veronika, et al. "Uniqueness of market equilibrium on a network: A peak-load pricing approach." European Journal of Operational Research 261.3 (2017): 971 - 983.


Last updated on 2018-24-09 at 12:38

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