| Article ID: | iaor20124820 |
| Volume: | 13 |
| Issue: | 3 |
| Start Page Number: | 401 |
| End Page Number: | 416 |
| Publication Date: | Sep 2012 |
| Journal: | Optimization and Engineering |
| Authors: | Gnudi Adriana, Allevi Elisabetta, Konnov Igor |
| Keywords: | economics |
An equilibrium model for description of behavior of a system of auction markets joined by transmission lines subject to joint balance and capacity flows constraints for a certain time period is suggested. We treat this model as an extended primal‐dual system of variational inequalities or a saddle point problem. Several splitting type methods are proposed to find its solution.