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The Cost of Simple Bidding in Combinatorial Auctions

Published: 18 July 2021 Publication History

Abstract

We study a class of manipulations in combinatorial auctions where bidders fundamentally misrepresent what goods they are interested in. Prior work has largely assumed that bidders only submit bids on their bundles of interest, which we call simple bidding: strategizing over the bid amounts, but not the bundle identities. However, we show that there exists an entire class of auction instances for which simple bids are never optimal in BNE, always being strictly dominated by complex bids (where bidders bid on goods they are not interested in). We show this result for the two most widely used auction mechanisms:first price andVCG-nearest. We also explore the structural properties of the winner determination problem that cause this phenomenon, and we use the insights gained to investigate how impactful complex bidding manipulations may be. We find that, in the worst case, a bidder's optimal complex bid may require bidding on an exponential number of bundles, even if the bidder is interested only in a single good. Thus, this phenomenon can greatly impact the auction's outcome, and should not be ignored by bidders and auction designers alike.

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Cited By

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  • (2023)Understanding the Relationship Between Core Constraints and Core-Selecting Payment Rules in Combinatorial AuctionsFrontiers of Algorithmics10.1007/978-3-031-39344-0_1(1-14)Online publication date: 26-Aug-2023

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cover image ACM Conferences
EC '21: Proceedings of the 22nd ACM Conference on Economics and Computation
July 2021
950 pages
ISBN:9781450385541
DOI:10.1145/3465456
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Published: 18 July 2021

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  1. Bayes-Nash equilibrium
  2. combinatorial auctions

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  • (2023)Understanding the Relationship Between Core Constraints and Core-Selecting Payment Rules in Combinatorial AuctionsFrontiers of Algorithmics10.1007/978-3-031-39344-0_1(1-14)Online publication date: 26-Aug-2023

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