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Supply Function Equilibrium with Asymmetric Capacities and Constant Marginal Costs

Par Holmberg

Year: 2007
Volume: Volume 28
Number: Number 2
DOI: 10.5547/ISSN0195-6574-EJ-Vol28-No2-3
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Abstract:
This paper analytically derives a Supply Function Equilibrium (SFE) of a real-time electricity market with multiple firms and asymmetric production capacities. There is a unique SFE, which is piece-wise symmetric when firms have identical constant marginal costs. It is believed that some of the properties of the derived SFE are valid for real-time markets in general. Firms� capacity constraints bind at different prices (i). Still, firms with non-binding capacity constraints have smooth residual demand (ii). Approximating an asymmetric real-time market with a symmetric one, tends to overestimate mark-ups for small positive imbalances and underestimate mark-ups for large positive imbalances (iii).



Comparison of congestion management techniques: Nodal, zonal and discriminatory pricing

Pär Holmberg and Ewa Lazarczyk

Year: 2015
Volume: Volume 36
Number: Number 2
DOI: 10.5547/01956574.36.2.7
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Abstract:
Wholesale electricity markets use different market designs to handle congestion in the transmission network. We compare nodal, zonal and discriminatory pricing in general networks with transmission constraints and loop flows. We conclude that in large games with many producers and certain information, the three market designs result in the same efficient dispatch. However, zonal pricing with counter-trading results in additional payments to producers in export-constrained nodes, which leads to inefficient investments in the long-run.





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