The Variational Inequality Approach for Solving Spatial Auction Problems with Joint Constraints
Abstract: We consider a problem of managing a system of spatially distributed markets under capacity and balance constraints and show that solutions of a variational inequality enjoy auction principle properties implicitly. This enables us to develop efficient tools both for derivation of existence and uniqueness results and for creation of solution methods.
Keywords: Spatial market problem, capacity constraints, variational inequality, auction principle.
Category 1: Complementarity and Variational Inequalities
Category 2: Applications -- OR and Management Sciences (Finance and Economics )
Citation: Kazan University, Kazan, March 23, 2007.
Entry Submitted: 03/23/2007
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