Equilibrium Prices in Bundle Auctions

The allocation of discrete, complementary resources is a fundamental problem in economics and of direct interest to e-commerce applications. In this paper we establish that competitive equilibrium bundle prices always exist that support the efficient allocation in discrete resource allocation problems with free disposal. We believe that this is an important step in the quest for a mechanism that performs well in the face of complementary preferences. We present a family of auctions that use this bundle pricing policy, and make some initial observations on several of its members, including the new Ascending k-Bundle auction.

[1]  William Vickrey,et al.  Counterspeculation, Auctions, And Competitive Sealed Tenders , 1961 .

[2]  E. H. Clarke Multipart pricing of public goods , 1971 .

[3]  Theodore Groves,et al.  Incentives in Teams , 1973 .

[4]  V. Crawford,et al.  Job Matching, Coalition Formation, and Gross Substitutes , 1982 .

[5]  H. Leonard Elicitation of Honest Preferences for the Assignment of Individuals to Positions , 1983, Journal of Political Economy.

[6]  D. Gale,et al.  Multi-Item Auctions , 1986, Journal of Political Economy.

[7]  R. McAfee,et al.  Auctions and Bidding , 1986 .

[8]  Steven R. Williams,et al.  Bilateral trade with the sealed bid k-double auction: Existence and efficiency , 1989 .

[9]  Paul R. Milgrom,et al.  Auctions and Bidding: A Primer , 1989 .

[10]  J. Banks,et al.  Allocating uncertain and unresponsive resources: an experimental approach. , 1989, The Rand journal of economics.

[11]  J. Mcmillan Selling Spectrum Rights , 1994 .

[12]  R. McAfee,et al.  Analyzing the Airwaves Auction , 1996 .

[13]  Faruk Gul,et al.  Walrasian Equilibrium Without Complementarities , 1997 .

[14]  S. Bikhchandani,et al.  Competitive Equilibrium in an Exchange Economy with Indivisibilities , 1997 .

[15]  Michael P. Wellman,et al.  The Michigan Internet AuctionBot: a configurable auction server for human and software agents , 1998, AGENTS '98.

[16]  J. Ledyard,et al.  A NEW AND IMPROVED DESIGN FOR MULTI-OBJECT ITERATIVE AUCTIONS , 1999 .

[17]  Yoav Shoham,et al.  Taming the Computational Complexity of Combinatorial Auctions: Optimal and Approximate Approaches , 1999, IJCAI.

[18]  Michael P. Wellman,et al.  A Parametrization of the Auction Design Space , 2001, Games Econ. Behav..