The Simple Algebra of Surplus in Open, Private Values Auctions

2017 ◽  
Author(s):  
Luke Froeb ◽  
Vlad Mares ◽  
Steven Tschantz
Keyword(s):  
Simple Algebra ◽  
Private Values

scholarly journals A simple algebra system

1968 ◽  
Vol 11 (3) ◽  
pp. 293-298 ◽  
Author(s):  
D. Barton
Keyword(s):  
Simple Algebra

scholarly journals Core-stable rings in auctions with independent private values

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

scholarly journals An Efficient Ascending-Bid Auction for Multiple Objects

2004 ◽  
Vol 94 (5) ◽  
pp. 1452-1475 ◽  
Author(s):  
Lawrence M Ausubel
Keyword(s):  
Privacy Preservation ◽  
Winner's Curse ◽  
Multiple Objects ◽  
Vickrey Auction ◽  
Treasury Bills ◽  
Winner’S Curse ◽  
Sealed Bid ◽  
Interdependent Values ◽  
Private Values ◽  
Current Price

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.

Rent-seeking contests with private values and resale

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

scholarly journals Motivic decomposition of compactifications of certain group varieties

2018 ◽  
Vol 2018 (745) ◽  
pp. 41-58
Author(s):  
Nikita A. Karpenko ◽  
Alexander S. Merkurjev
Keyword(s):  
Central Simple Algebra ◽  
Simple Algebra ◽  
Chow Ring ◽  
Prime Degree ◽  
Central Simple

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.

Isotropy of orthogonal involutions in characteristic two

2018 ◽  
Vol 17 (12) ◽  
pp. 1850240 ◽  
Author(s):  
A.-H. Nokhodkar
Keyword(s):  
Quadratic Form ◽  
Central Simple Algebra ◽  
Simple Algebra ◽  
Characteristic Two ◽  
Central Simple ◽  
The Given

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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