基于可变供给量的可分离物品拍卖及其应用

中国管理科学 ›› 2012, Vol. ›› Issue (1): 129-138.

基于可变供给量的可分离物品拍卖及其应用

饶从军^1,2, 赵勇¹, 王清¹

1. 华中科技大学系统工程研究所, 湖北武汉 430074;
2. 黄冈师范学院数学与计算机科学学院, 湖北黄冈 438000

收稿日期:2009-09-11 修回日期:2011-11-20 出版日期:2012-02-29 发布日期:2012-03-09
基金资助:
国家自然科学基金资助项目(70771041); 湖北省教育厅优秀中青年人才项目(Q2012); 黄冈师范学院博士基金项目(2011cd0257)

Auction of Divisible Goods Based on Variable Supply and Its Application

RAO Cong-jun^1,2, ZHAO Yong¹, WANG Qing¹

1. Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;
2. College of Mathematics and Information Science, Huanggang Normal University, Huanggang 438000, China

Received:2009-09-11 Revised:2011-11-20 Online:2012-02-29 Published:2012-03-09

摘要/Abstract

摘要： 本文对统一价格下可分离物品的拍卖问题进行了研究。首先,在买者报价连续、买者和卖者风险中立、卖者采取可变供给量(将供给量看成价格的函数)的策略下,设计了一个新的基于可变供给量的可分离物品统一价格拍卖机制,研究了其信息激励性和分配的有效性,给出了卖者的最佳供给策略和买者的均衡报价策略。然后,将拍卖机制推广到风险中立、风险爱好和风险厌恶三类风险买者共存的情形,并给出了相应的均衡结论,该结论与现有的一些成果相比更具一般性。最后,给出了拍卖机制在环境规划中应用。具体地,结合"十一五"期间获得的"1+8武汉城市圈"环境规划中有关污染物允许排放总量分配数据和统计申报资料,利用拍卖模型来分析和评价了免费分配方案的有效性程度,并据此给出了关于目前排污申报制度和免费分配方法的若干结论和建议。

关键词: 可分离物品, 统一价格拍卖, 可变供给量, 环境规划

Abstract: This paper studies the auction problem of divisible goods. First, a uniform price auction mechanism of divisible goods with variable supply is proposed under three conditions, i.e., every buyer submits a nonincreasing continuous demand function, the seller and all buyers are risk neutral and the seller uses the strategy of variable supply(let the supply as a function of price). Second, the information incentive and effectiveness of allocation are analyzed, and the seller's optimal supply strategy and the buyers' bidding strategies are discussed. Third, this auction mechanism is generalized under the condition of the risk neutral buyers, risk averse buyers and risk seeking buyers coexist in an auction. Meanwhile, several more general equilibrium results are also educed about auction under a uniform price. Finally, this auction mechanism is applied to analyze and evaluate the validity for the free allocation of total permitted pollution discharge capacity in the environmental planning of Wuhan City Circle in Hubei Province, China. The validity evaluation result of free allocation is obtained by analyzing the statistical data of SO₂ in 9 cities of Wuhan City Circle. Combining with the actual background, several improved strategies on free allocation method and current sewage application system are also given.

Key words: divisible goods, uniform price auction, variable supply, environmental planning

中图分类号:

F224

饶从军,赵勇,王清. 基于可变供给量的可分离物品拍卖及其应用[J]. 中国管理科学, 2012, (1): 129-138.

RAO Cong-jun,ZHAO Yong,WANG Qing. Auction of Divisible Goods Based on Variable Supply and Its Application[J]. Chinese Journal of Management Science, 2012, (1): 129-138.

参考文献

[1] 保尔·米格罗姆著,社黎,胡奇英等译. 拍卖理论与实务[M]. 北京:清华大学出版社, 2006.
[2] 陈剑, 陈熙龙. 拍卖理论与网上拍卖[M]. 北京: 清华大学出版社, 2005.
[3] 詹文杰, 汪寿阳. 评"Smith奥秘"与双向拍卖的研究进展[J]. 管理科学学报, 2003, 6(1): 1-12.
[4] 王彦, 李楚霖. 非对称情况下的多物品拍卖[J]. 中国管理科学, 2003, 11(6): 61-65.
[5] Wilson, R.. Auctions of shares[J]. Quarterly Journal of Economics, 1979, 93: 675-689.
[6] Klemperer, P., Meyer, M.. Supply function equilibria in oligopoly under uncertainty[J]. Econometrica, 1989, 57: 1243-1277.
[7] Back, K., Zender, J. F.. Auctions of divisible goods: On the rationale for the treasury experiment[J]. Review of Financial Studies, 1993, 6: 733-764.
[8] Lengwiler, Y.. The multiple unit auction with variable supply[J]. Economic Theory, 1999, 14: 373-2392.
[9] Back, K., Zender, J. F.. Auctions of divisible goods with endogenous supply[J]. Economics Letters, 2001, 73: 29-34.
[10] McAdams, D.. Modifying the uniform-price auction to eliminate 'Collusive Seeming Equilibria'[J]. Working paper, MIT, 2002.
[11] McAdams, D.. Adjustable supply in uniform price auctions: Non-commitment as a strategic tool[J]. Economics Letters, 2007, 95: 48-53.
[12] LiCalzi, M., Pavan, A.. Tilting the supply schedule to enhance competition in uniform-price auctions[J]. European Economic Review, 2005, 49: 227-2250.
[13] 赵勇, 王清. 可分离物品拍卖及污染物排放总量分配方法[J]. 系统工程学报, 2008, 23(2): 208-214.
[14] Wang, J. J. D., Zender, J. F.. Auctioning divisible goods[J]. Economic Theory, 2002, 19: 673-705.
[15] Kremer, I., Nyborg, K.. Underpricing and market power in uniform price auctions[J]. The Review of Financial Studies, 2004, 17(3): 849-877.
[16] Damianov, D. S.. The uniform price auction with endogenous supply[J]. Economics Letters, 2005, 77: 101-112.
[17] Bierbaum, J., Grimm, V.. Selling shares to retail investors: Auction vs. fixed price[J]. Review of Economic Design, 2006, 10(2): 85-112.
[18] Mezzetti, C., Saa Pekecˇ, A., Tsetlin, I.. Sequential vs. single-round uniform-price auctions[J]. Games and Economic Behavior,2008,62(2):591-609.
[19] Brenner, M., Galai, D., Sade, O.. Sovereign debt auctions: uniform or discriminatory[J]? Journal of Monetary Economics, 2009, 56(2): 267-274.
[20] Genc, T. S.. Discriminatory versus uniform-price electricity auctions with supply function equilibrium[J]. Journal of Optimization Theory and Applications, 2009, 140(1): 9-31.
[21] Chiou, L. Y., Juang,W. T., Yuan, K. C.. Simultaneous auctions at separate markets[Z]. Working Paper, 2010.
[22] Feng, J., Chatterjee, K.. Simultaneous vs. sequential sales: bidder competition and supply uncertainty[J]. Decision Support Systems, 2010, 49(3): 251-260.
[23] Damianov, D. S., Becker, J. G.. Auctions with variable supply: uniform price versus discriminatory[J]. European Economic Review, 2010, 54(4): 571-593.
[24] 熊维勤, 孟卫东, 周孝华. 统一价格份额拍卖中的报价策略研究[J]. 哈尔滨工程大学学报, 2007, 28(1): 40-44.
[25] 周孝华, 熊维勤, 孟卫东. IPO询价中的最优报价策略与净抑价[J]. 管理科学学报, 2009, 12(4): 129-134.
[26] 龙永红. 常见拍卖形式的均衡出价策略及其特征[J]. 系统工程, 2009, 27(9): 82-86.