运筹与管理 ›› 2023, Vol. 32 ›› Issue (1): 175-180.DOI: 10.12005/orms.2023.0028

• 应用研究 • 上一篇    下一篇

基于数据包络分析的混合多属性第二分值拍卖机制

安庆贤1, 鲍茜1, 熊贝贝2   

  1. 1.中南大学 商学院,湖南 长沙 410083;
    2.湖南大学 工商管理学院,湖南 长沙 410082
  • 收稿日期:2021-01-28 出版日期:2023-01-25 发布日期:2023-03-01
  • 通讯作者: 熊贝贝(1991-),女,安徽滁州人,副教授,硕士生导师,研究方向:评价理论与方法等。
  • 作者简介:安庆贤(1988-),男,安徽蚌埠人,教授,博士生导师,研究方向:博弈论与拍卖理论,数据包络分析等;鲍茜(1997-),女,湖北黄冈人,硕士研究生,研究方向:数据包络分析,拍卖理论等。
  • 基金资助:
    国家自然科学基金资助项目(72171238,72001075,71871223)

Hybrid Multi-attribute Second Score Auction Mechanism Based on Data Envelopment Analysis

AN Qingxian1, BAO Xi1, XIONG Beibei2   

  1. 1. Business School, Central South University, Changsha 410083, China;
    2. Business School, Hunan University, Changsha 410082, China
  • Received:2021-01-28 Online:2023-01-25 Published:2023-03-01

摘要: 多属性拍卖在传统价格拍卖的基础上纳入了价格和质量多个属性,已广泛应用于许多领域。本文针对输入几乎没有先验结构且投标人数量足够大的情况,在以往有关多属性拍卖研究的基础上将单个投入扩展为多个投入,将物品的多个属性(价格、完成时间、劳动力数量、质量等因素)合理划分为投入或产出,设计了运行有效的基于数据包络分析的多属性第二分值拍卖机制。与其他方法相比,数据包络分析方法可以有效解决多投入多产出问题,结合多目标规划方法,可以帮助采购方在最大化自身利益的同时,找到整体表现更好的供应商。该机制满足个人理性和激励相容,与传统第二分值拍卖机制相比,在吸引投标人的前提下能够最大化拍卖人的利益。

关键词: 多属性拍卖, 数据包络分析, 第二分值拍卖, 信息不对称, 激励相容

Abstract: Multi-attribute auctions incorporate multiple attributes, such as priceand quality, on the basis of traditional price auctions, and have been widely used in many fields.In order to study the situation where the inputs have almost no prior structure and the number of bidders is large enough, this paper expands a single input to multiple inputs based on previous studies on multi-attribute auctions and reasonably divides multiple attributes of items (such as price, completion time, labor quantity, quality) into inputs or outputs. An effective multi-attribute second score auction mechanism is designed based on data envelopment analysis. Compared with other methods, data envelopment analysis combined with the multi-objective programming methods can effectively solve the multi-input and multi-output problems to help the auctioneer maximize his own utility while finding bidders with better overall performance. The mechanism satisfies the constraints of individual rationality and incentive compatibility. Compared with the traditional second score auction mechanism, thenew mechanism can maximize the utility of the auctioneer under the premise of attracting bidders.

Key words: multi-attribute auctions, data envelopment analysis, second score auctions, information asymmetry, incentive compatibility

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