Efficient Sealed-Bid Auctions for Massive Numbers of Bidders with Lump Comparison

A newsc heme for electronic sealed-bid auctions that preserves losing bids is presented. By this scheme, the computational complexity of the opening phase can be reduced to O(log l); previous works required O(N?l) or O(N?log l) where the number of bidders is N and the range of bids is l. The proposed scheme has two technical points. One is that computational complexity is independent of the number of bidders. The other is a newefficien t value-comparing method. These techniques allowour auction scheme to be more than five hundred times faster than previous schemes. Furthermore, our auction scheme can be eleven million times faster than previous schemes if it is assured that auctioneers do not conspire.

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