Aiming at the disadvantage of current research of shill bidding with different online auctions types, a this paper, applying decision analysis method and game theory, firstly, a researches the bidder's optimal biding strategy of English auction, first-price sealed-bid auction and second-price sealed-bid auction with shill bidding, respectively. Secondly, it uses bidder's expected gain and seller's revenue as a basis to compare these three important auctions types, and then interprets some bidding behaviors in practice.%针对现有网上不同拍卖方式下“托”投标理论研究的不足,运用决策分析和博弈论的基本理论和方法分别研究了英国式拍卖、首价密封拍卖和次价密封拍卖方式下投标者的最优投标策略,并在此基础上对“托”投标下3种拍卖方式中投标者的期望收益和卖者的期望收益损失与投标者估价分布、“托”投标的概率以及投标人数之间的关系进行了比较分析,得出一些建设性的结论并解释一些现象.
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