On Supply-Function Equilibria in Radial Transmission Networks

Reprint No. 2018:71

Author(s): Pär Holmberg and Andrew PhilpottYear: 2018 Title: European Journal of Operational Research Volume (No.): 271 (3) Pages: 985–1000
Online article (restrictions may apply)

On Supply-Function Equilibria in Radial Transmission Networks Pär Holmberg and Andrew Philpott

Transmission constraints limit competition and arbitrageurs’ possibilities of exploiting price differences between commodities in neighbouring markets. We analyze radial transmission-constrained networks with local demand shocks, where spatially distributed oligopoly producers compete with supply functions, as in wholesale electricity markets. We prove existence and uniqueness of supply-function equilibrium in two-node networks, and we are able to explicitly solve for symmetric supply-function equilibria in two-node and star networks.

Holmberg, Pär and Andrew Philpott (2018), "On Supply-Function Equilibria in Radial Transmission Networks". European Journal of Operational Research 271(3), 985–1000.

Pär Holmberg


Ph: +46 8 665 4559
Mob: +46 72 511 6866

Interdisciplinary European Studies

The European Union and the Return of the Nation State


This book explores the complex and ever-changing relationship between the European Union and its member states. The recent surge in tension in this relationship has been prompted by the actions of some member state governments as they question fundamental EU values and principles and refuse to implement common decisions seemingly on the basis of narrowly defined national interests.

About the book


Seminars organized by IFN


To present ongoing research informal brown-bag seminars are held on Mondays at 11:30 am. This is an opportunity for IFN researchers to test ideas and results.

Academically oriented seminars are most of the time held on Wednesdays at 10 am. At these events researchers from IFN and other institutions present their research.

In addition, IFN organizes seminars open to the public. Topics for these are derived from the IFN research.

Research Institute of Industrial Economics, Grevgatan 34 - 2 fl, Box 55665, SE-102 15 Stockholm, Sweden | Phone: +46-(0)8-665 45 00 | info@ifn.se