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The Variational Inequality Approach for Solving Spatial Auction Problems with Joint Constraints

Igor Konnov(ikonnov***at***ksu.ru)

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.

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Entry Submitted: 03/23/2007
Entry Accepted: 03/23/2007
Entry Last Modified: 03/23/2007

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