e-journal
On auction equilibrium models with network applications
We consider a general auction market model with divisible commodities and price functions of participants and show that it can be suitable for proper description of complex systems with active elements. Using its equivalent variational inequality reformulation, we obtain a general existence result under mild additional
conditions on price functions.We show that the basic network flow equilibrium problems are particular cases of this auction market model. Besides, we describe a new auction based model for resource allocation problems in wireless communication networks. This enables us to obtain new existence results for these models as simple
adjustments of that for the general auction model.
Keywords Auction models · Divisible commodities · Price functions · Complex systems · Active elements · Network flow equilibria · Wireless communication networks
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