Vidal's library
Title: Auctions with Endogenously Determined Allowable Combinations
Author: Sunju Park and Michael H. Rothkopf
Institution: Rutgets Center for Operations Research
Month: January
Year: 2001
Abstract: Combinatorial auctions are desirable as they enable bidders to express the synergistic values of a group of assets and thus may lead to better allocations. Compared to other auctions, they keep bidders from being exposed to risks (of receiving only parts of combinations that would be valuable to them) or from being overly cautious (in order to minimize such risks). However, determining the optimal winning combination in a general combinatorial auction is computationally intractable, and this is sometimes given as a reason for not using combinatorial auctions. To insure computational tractability, a bid taker might try to limit the kinds of allowable combinations, but bidders may disagree on what combinations should be allowed, and this may make limiting the allowable combinations politically infeasible. This paper proposes and tests successfully a new approach to managing the computational complexity of determining the winning combination. The main idea is to let bidders determine and prioritize the allowable combinations. Using endogenously determined combinations has two nice properties. First, by delegating the decision on what is biddable to the bidders who know what combinations are important to them, the bid taker is able to be (and appear) fair. Second, bidder prioritization of combinations assures that the economically most important combinations are included in determining the winning set of bids even when the bid taker is not able to use all the combinations submitted by bidders.

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@TechReport{park01a,
  author =	 {Sunju Park and Michael H. Rothkopf},
  title =	 {Auctions with Endogenously Determined Allowable
                  Combinations},
  institution =	 {Rutgets Center for Operations Research},
  year =	 2001,
  month =	 {January},
  note =	 {{RRR} 3-2001},
  abstract =	 {Combinatorial auctions are desirable as they enable
                  bidders to express the synergistic values of a group
                  of assets and thus may lead to better
                  allocations. Compared to other auctions, they keep
                  bidders from being exposed to risks (of receiving
                  only parts of combinations that would be valuable to
                  them) or from being overly cautious (in order to
                  minimize such risks). However, determining the
                  optimal winning combination in a general
                  combinatorial auction is computationally
                  intractable, and this is sometimes given as a reason
                  for not using combinatorial auctions. To insure
                  computational tractability, a bid taker might try to
                  limit the kinds of allowable combinations, but
                  bidders may disagree on what combinations should be
                  allowed, and this may make limiting the allowable
                  combinations politically infeasible. This paper
                  proposes and tests successfully a new approach to
                  managing the computational complexity of determining
                  the winning combination. The main idea is to let
                  bidders determine and prioritize the allowable
                  combinations. Using endogenously determined
                  combinations has two nice properties. First, by
                  delegating the decision on what is biddable to the
                  bidders who know what combinations are important to
                  them, the bid taker is able to be (and appear)
                  fair. Second, bidder prioritization of combinations
                  assures that the economically most important
                  combinations are included in determining the winning
                  set of bids even when the bid taker is not able to
                  use all the combinations submitted by bidders.},
  keywords =     {economics combinatorial auctions multiagent},
  url = 	 {http://jmvidal.cse.sc.edu/library/park01a.pdf},
  googleid = 	 {PqsShhd0UZ0J:scholar.google.com/},
  cluster = 	 {11335969381450689342}
}
Last modified: Wed Mar 9 10:15:16 EST 2011