Asymmetric first-price auctions with uniform distributions: analytic solutions to the general case

被引：59

作者：

Kaplan, Todd R. ^{[1
,2
]}

Zamir, Shmuel ^{[3
]}

机构：

[1] Univ Exeter, Sch Business, Dept Econ, Exeter EX4 4PU, Devon, England

[2] Univ Haifa, Dept Econ, IL-31905 Haifa, Israel

[3] Hebrew Univ Jerusalem, Ctr Study Rat, Jerusalem, Israel

来源：

ECONOMIC THEORY | 2012年 / 50卷 / 02期

关键词：

Asymmetric auctions; First-price auctions; Incomplete information; PRICE AUCTIONS; EQUILIBRIUM; INFORMATION; UNIQUENESS; EXISTENCE; REVENUE; RESALE;

D O I：

10.1007/s00199-010-0563-9

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In 1961, Vickrey posed the problem of finding an analytic solution to a first-price auction with two buyers having valuations uniformly distributed on and . To date, only special cases of the problem have been solved. In this paper, we solve this general problem and in addition allow for the possibility of a binding minimum bid. Several interesting examples are presented, including a class where the two bid functions are linear.

引用

页码：269 / 302

页数：34

共 27 条

[1] Log-concave probability and its applications [J].

Bagnoli, M ;

Bergstrom, T .

ECONOMIC THEORY, 2005, 26 (02) :445-469

[2]

Baye M., 2010, EC THEORY IN PRESS

[3] Winner-take-all price competition [J].

Baye, MR ;

Morgan, J .

ECONOMIC THEORY, 2002, 19 (02) :271-282

[4]

Baye MR, 1996, ECON THEORY, V8, P291, DOI 10.1007/s001990050092

[5] The effect of bidders' asymmetries on expected revenue in auctions [J].

Cantillon, Estelle .

GAMES AND ECONOMIC BEHAVIOR, 2008, 62 (01) :1-25

[6]

Cheng H, 2010, ASYMMETRIC 1 PRICE A

[7] Ranking sealed high-bid and open asymmetric auctions [J].

Cheng, Harrison .

JOURNAL OF MATHEMATICAL ECONOMICS, 2006, 42 (4-5) :471-498

[8]

GRIESMER JH, 1967, NAV RES LOGIST Q, V14, P415

[9] Bidding behavior in asymmetric auctions:: An experimental study [J].

Güth, W ;

Ivanova-Stenzel, R ;

Wolfstetter, E .

EUROPEAN ECONOMIC REVIEW, 2005, 49 (07) :1891-1913

[10] Asymmetric auctions with resale [J].

Hafalir, Isa ;

Krishna, Vijay .

AMERICAN ECONOMIC REVIEW, 2008, 98 (01) :87-112

← 1 2 3 →