Scandinavian Working Papers in Economics

Working Papers,
Lund University, Department of Economics

No 2015:19: An Approximate Auction

Jim Ingebretsen Carlson ()
Additional contact information
Jim Ingebretsen Carlson: Department of Economics, Lund University, Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund, Sweden

Abstract: This paper presents an auction procedure which is of particular interest when short execution times are of importance. It is based on a method for approximating the bidders' preferences over two types of items when complementarity between the two may exist. In particular, linear approximations of the bidders' indifference curves are made. The resulting approximated preference relation is shown to be complete and transitive at any given price vector. It is shown that an approximated Walrasian equilibrium always exists if the approximated preferences of the bidders comply with the gross substitutes condition. Said condition also ensures that the set of approximated equilibrium prices forms a complete lattice. A process is proposed which is shown to always reach the smallest approximated Walrasian price vector.

Keywords: Approximate auction; one-round auction; non-quasi-linear preferences; approximated preferences

JEL-codes: D44

28 pages, June 11, 2015

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