A comparative analysis of several auction types with shill bidding

Aimed at the disadvantage of current research of shill bidding with different online auctions types, in this paper, Applying decision analysis method and game theory, firstly, we research the bidder's optimal biding Strategy on English Auction, First-price Sealed-bid Auction and Second-price sealed-bid auction with Shill Bidding, respectively. Secondly, we use bidder's expected gain and seller's revenue as a basis to compare these three important auctions types, and interpret some bidding behavior in practice.