Uniqueness of electricity market equilibria

Theoretical analyses

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For the development of mathematical solution methods for the analysis of electricity market models, knowledge of theoretical properties of the market design such as the uniqueness of equilibria is of decisive importance. In her master thesis, the current EnCN member Vanessa Krebs analyzed these equilibria for market designs that explicitly consider network physics. This thesis by Vanessa Krebs received the EnCN Energy Award 2017 and resulted in two publications published in international journals.

Krebs, V., Schewe, L., & Schmidt, M. (2018). Uniqueness and Multiplicity of Market Equilibria on DC Power Flow Networks. European Journal of Operational Research, 271(1), 165-178. https://dx.doi.org/10.1016/j.ejor.2018.05.016

Krebs, V., & Schmidt, M. (2018). Uniqueness of Market Equilibria on Networks with Transport Costs. Operations Research Perspectives, 5, 169-173. https://dx.doi.org/10.1016/j.orp.2018.05.002

Research team

Vanessa Krebs

FAU Erlangen-Nürnberg / Chair of Economy, Discrete Optimization, Mathematics (EDOM)

Dr. Lars Schewe

FAU Erlangen-Nürnberg / Chair of Economy, Discrete Optimization, Mathematics (EDOM)

Prof. Dr. Martin Schmidt

University of Trier / Professor for Nonlinear Optimization (EnCN Fellow)

Further reference projects