Abstract
We consider several equilibrium formulations for the problem of managing spatially distributed auction markets of a homogeneous commodity, which are joined by transmission lines in a network. At each market, traders and buyers are determined by their price functions and choose their offer/bid values. We present equivalent variational inequality, optimization, and saddle point formulations of this problem. The corresponding models possess a special structure of constraint and cost functions and lead to different decomposition schemes. We propose proximal and splitting type methods and discuss their properties and preliminary computational results.
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Konnov, I.V. Decomposition Approaches for Constrained Spatial Auction Market Problems. Netw Spat Econ 9, 505–524 (2009). https://doi.org/10.1007/s11067-008-9083-6
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DOI: https://doi.org/10.1007/s11067-008-9083-6