Unconditional competitive auctions with copy and budget constraints

  • Authors:
  • Tian-Ming Bu;Qi Qi;Aries Wei Sun

  • Affiliations:
  • Department of Computer Science and Engineering, Fudan University, Shanghai, 200433, PR China;Department of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;Department of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

This paper investigates a new auction model in which bidders have both copy and budget constraints. This new model has extensive and interesting applications in auctions of online ad-words, software licenses, etc. We consider the following problem: Supposing all participators are rational, how does one allocate the objects and at what price so as to maximize the auctioneer's revenue. We introduce new kinds of mechanisms called auctioneer-advantaged mechanisms and present the notion of unconditional competitive auctions. A notably interesting property of auctioneer-advantaged mechanisms is that each bidder's self-interested strategy brings better utility not only to himself but also to the auctioneer. Then we present auctioneer-advantaged mechanisms for multi-unit auctions with copy and budget constraints. We prove that these auctions are unconditional competitive under the situation of both limited and unlimited supply.