Some restructured power systems rely on audited cost information instead of competitive bids for the dispatch and pricing of electricity in real time, particularly in hydro systems in Latin America. Audited costs are also substituted for bids in US markets when local market power is demonstrated...

This supplemental appendix accompanies "Optimal Electricity Distribution Pricing under Risk and High Photovoltaics Penetration" by the same authors, available at:http://ssrn.com/abstract=3701852. This appendix contains the proof of theorems omitted in the main text