Title
Optimal multi-unit combinatorial auctions.
Abstract
The current art in optimal combinatorial auctions is limited to handling the case of a single unit each of multiple items, with each agent bidding on exactly one bundle (single minded bidders). This paper extends the current art by proposing an optimal auction for buying multiple units of multiple items when the bidders are single minded. We develop a procurement auction that minimizes the cost of procurement while satisfying Bayesian incentive compatibility and interim individual rationality. Under appropriate regularity conditions, this optimal auction also satisfies dominant strategy incentive compatibility. The results presented here hold true for equivalent forward auction settings as well. For the two item, multi-unit procurement auction, we design an optimal auction in the presence of the single minded bidders offering volume discounts.
Year
DOI
Venue
2013
10.1007/s12351-011-0116-4
Operational Research
Keywords
DocType
Volume
Bayesian incentive compatibility (BIC), Dominant strategy incentive compatibility (DSIC), Individual rationality (IR), Multi-unit combinatorial procurement auction, Optimal mechanism
Journal
13
Issue
ISSN
Citations 
1
1866-1505
1
PageRank 
References 
Authors
0.35
5
2
Name
Order
Citations
PageRank
Sujit Gujar17625.33
Y. Narahari269998.97