Best Foot Forward or Best for Last in a Sequential Auction?

Best foot forward or best for last in a sequential auction?

Should an informed seller of multiple goods sell the best goods first to make a favorable impression on buyers, or instead wait until buyers have learned more from earlier sales? To help answer this question we consider the sequential auction of two goods by a seller with private information about their values. We find that the seller’s sequencing strategy endogenously generates correlation in ...

Best foot forward.

Forward Sequential Algorithms for Best Basis Selection∗

Recently, the problem of signal representation in terms of basis vectors from a large, ”overcomplete”, spanning dictionary has been the focus of much research. Achieving a succinct, or ”sparse”, representation is known as the problem of best basis representation. We consider methods which seek to solve this problem by sequentially building up a basis set for the signal. Three distinct algorithm...

Adaptive recommendation: putting the best foot forward

Information is becoming more increasingly available in digital formats such as Web Pages, MP3 files and many others. This puts more emphasis on the need for reliable information filtering techniques. New recommendation algorithms are being developed frequently to deal with the problem of information overload. In this paper we present a new, regression-based approach to the application of recomm...

Putting Your Best Foot Forward: Movement & Mathematics in College

This 90-minute workshop shares several aspects of an innovative interdisciplinary college course, Pattern Play, that links mathematics and dance to meet creative arts and quantitative literacy requirements. Participants will: 1) Engage in two open-ended movement activities – Giant Tangrams and Hustling Graph – that introduce geometry, algebra, and dance concepts as well as the broader theme of ...