Title
A Computational Analysis of Linear Price Iterative Combinatorial Auction Formats
Abstract
Iterative combinatorial auctions (ICAs) are IT-based economic mechanisms where bidders submit bundle bids in a sequence and an auctioneer computes allocations and ask prices in each auction round. The literature in this field provides equilibrium analysis for ICAs with nonlinear personalized prices under strong assumptions on bidders' strategies. Linear pricing has performed very well in the lab and in the field. In this paper, we compare three selected linear price ICA formats based on allocative efficiency and revenue distribution using different bidding strategies and bidder valuations. The goal of this research is to benchmark different ICA formats and design and analyze new auction rules for auctions with pseudodual linear prices. The multi-item and discrete nature of linear price iterative combinatorial auctions and the complex price calculation schemes defy much of the traditional game theoretical analysis in this field. Computational methods can be of great help in exploring potential auction designs and analyzing the virtues of various design options. In our simulations, we found that ICA designs with linear prices performed very well for different valuation models even in cases of high synergies among the valuations. There were, however, significant differences in efficiency and in the revenue distributions of the three ICA formats. Heuristic bidding strategies using only a few of the best bundles also led to high levels of efficiency. We have also identified a number of auction rules for ask price calculation and auction termination that have shown to perform very well in the simulations.
Year
DOI
Venue
2009
10.1287/isre.1070.0151
Information Systems Research
Keywords
Field
DocType
linear price,allocative eciency,auction rule,new auction rule,auction formats,computational analysis,linear price ica format,linear price iterative combinatorial,iterative combinatorial auction,auction termination,auction round,pseudo-dual prices,linear pricing,revenue distribution,combinatorial auction,allocative efficiency
Economics,Mathematical economics,Unique bid auction,Combinatorial auction,Generalized second-price auction,Common value auction,Vickrey–Clarke–Groves auction,Auction theory,Revenue equivalence,Auction algorithm
Journal
Volume
Issue
ISSN
20
1
1047-7047
Citations 
PageRank 
References 
27
1.95
19
Authors
3
Name
Order
Citations
PageRank
Martin Bichler11262145.16
Pasha Shabalin21229.51
Alexander Pikovsky3614.90