The Simple Algebra of Surplus in Open, Private Values Auctions

2017 ◽  
Author(s):  
Luke Froeb ◽  
Vlad Mares ◽  
Steven Tschantz
1968 ◽  
Vol 11 (3) ◽  
pp. 293-298 ◽  
Author(s):  
D. Barton
Keyword(s):  

2011 ◽  
Vol 73 (1) ◽  
pp. 52-64 ◽  
Author(s):  
Omer Biran ◽  
Françoise Forges

2004 ◽  
Vol 94 (5) ◽  
pp. 1452-1475 ◽  
Author(s):  
Lawrence M Ausubel

When bidders exhibit multi-unit demands, standard auction methods generally yield inefficient outcomes. This article proposes a new ascending-bid auction for homogeneous goods, such as Treasury bills or telecommunications spectrum. The auctioneer announces a price and bidders respond with quantities. Items are awarded at the current price whenever they are “clinched,” and the price is incremented until the market clears. With private values, this (dynamic) auction yields the same outcome as the (sealed-bid) Vickrey auction, but has advantages of simplicity and privacy preservation. With interdependent values, this auction may retain efficiency, whereas the Vickrey auction suffers from a generalized Winner's Curse.


Public Choice ◽  
2008 ◽  
Vol 138 (3-4) ◽  
pp. 409-422 ◽  
Author(s):  
Yong Sui
Keyword(s):  

2018 ◽  
Vol 2018 (745) ◽  
pp. 41-58
Author(s):  
Nikita A. Karpenko ◽  
Alexander S. Merkurjev

Abstract Let D be a central simple algebra of prime degree over a field and let E be an {\operatorname{\mathbf{SL}}_{1}(D)} -torsor. We determine the complete motivic decomposition of certain compactifications of E. We also compute the Chow ring of E.


2018 ◽  
Vol 17 (12) ◽  
pp. 1850240 ◽  
Author(s):  
A.-H. Nokhodkar

A totally singular quadratic form is associated to any central simple algebra with orthogonal involution in characteristic two. It is shown that the given involution is isotropic if and only if its corresponding quadratic form is isotropic.


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