An Efficient Dynamic Auction for Heterogeneous Commodities

This article proposes a new dynamic design for auctioning multiple heterogeneous commodities. An auctioneer wishes to allocate K types of commodities among n bidders. The auctioneer announces a vector of current prices, bidders report quantities demanded at these prices, and the auctioneer adjusts the prices. Units are credited to bidders at the current prices as their opponents’ demands decline, and the process continues until every commodity market clears. Bidders, rather than being assumed to behave as price-takers, are permitted to strategically exercise their market power. Nevertheless, the proposed auction yields Walrasian equilibrium prices and, as from a Vickrey-Clarke-Groves mechanism, an efficient allocation. (JEL D44)

[1]  B. Moldovanu,et al.  Efficient Design with Interdependent Valuations , 2001 .

[2]  Ennio Stacchetti,et al.  The English Auction with Differentiated Commodities , 2000, J. Econ. Theory.

[3]  H. Scarf Some Examples of Global Instability of the Competitive Equilibrium , 1960 .

[4]  P. Reny,et al.  AN EFFICIENT AUCTION , 2002 .

[5]  Paul Milgrom,et al.  Putting Auction Theory to Work , 2004 .

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

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

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

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

[10]  Lawrence M. Ausubel An Efficient Ascending-Bid Auction for Multiple Objects , 2004 .

[11]  Lawrence M. Ausubel,et al.  Auctioning Many Divisible Goods , 2004 .

[12]  R. Aumann Markets with a continuum of traders , 1964 .

[13]  Sven de Vries,et al.  Linear Programming and Vickrey Auctions , 2001 .

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

[15]  Brenda L Dietrich,et al.  Mathematics of the internet : e-auction and markets , 2002 .

[16]  K. Arrow,et al.  General Competitive Analysis , 1971 .

[17]  V. Krishna,et al.  Convex Potentials with an Application to Mechanism Design , 2001 .

[18]  P. Samuelson The Stability of Equilibrium: Comparative Statics and Dynamics , 1941 .

[19]  H. Siebert Privatization : symposium in honor of Herbert Giersch , 1992 .

[20]  Paul R. Milgrom,et al.  Putting Auction Theory to Work: The Simultaneous Ascending Auction , 1999, Journal of Political Economy.

[21]  Richard P. McLean,et al.  Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent , 1985 .

[22]  L. Walras Elements of Pure Economics, or The Theory of Social Wealth , 1955 .

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

[24]  丸山 徹 Convex Analysisの二,三の進展について , 1977 .

[25]  Peter Cramton,et al.  Vickrey auctions with reserve pricing , 2004 .

[26]  Tom M. Apostol,et al.  Book Reviews: Mathematical Analysis. A Modern Approach to Advanced Calculus , 1958 .

[27]  Lawrence M. Ausubel,et al.  Demand Reduction and Inefficiency in Multi-Unit Auctions , 2014 .

[28]  L. Hurwicz,et al.  ON THE STABILITY OF THE COMPETITIVE EQUILIBRIUM, I1 , 1958 .

[29]  Sushil Bikhchandani,et al.  The Package Assignment Model , 2002, J. Econ. Theory.

[30]  Lawrence M. Ausubel,et al.  Ascending Auctions with Package Bidding , 2002 .

[31]  Vol Cxv Issue EFFICIENT AUCTIONS , 2000 .

[32]  Faruk Gul,et al.  WALRASIAN EQUILIBRIUM WITH GROSS SUBSTITUTES , 1999 .

[33]  Sushil Bikhchandani,et al.  Ascending price Vickrey auctions , 2006, Games Econ. Behav..

[34]  E. Maskin,et al.  Auctions and Privatization , 1992 .

[35]  P. Reny,et al.  An Efficient Multi-Unit Ascending Auction , 2005 .

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

[37]  Hal R. Varian,et al.  Dynamical systems with applications to economics , 2000 .