[Colloquium] THEORY SEMINAR: Vijay Vazirani on November 9, 2010
Katie Casey
caseyk at cs.uchicago.edu
Thu Sep 30 10:42:59 CDT 2010
DEPARTMENT OF COMPUTER SCIENCE
UNIVERSITY OF CHICAGO
Date: Tuesday, November 9, 2010
Time: 3:00 p.m.
Place: Ryerson 251, 1100 E. 58th Street
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Speaker: Vijay Vazirani
From: Georgia Institute of Technology
Web page: http://www.cc.gatech.edu/~vazirani/
Title: The “Invisible Hand of the Market”: Algorithmic Ratification and the Digital Economy
Abstract:
“It is not from the benevolence of the butcher, the brewer, or the baker,
that we expect our dinner, but from their regard for their own interest.”
Each participant in a competitive economy is “led by an invisible hand to
promote an end which was no part of his intention.”
Adam Smith, 1776.
With his treatise, The Wealth of Nations, 1776, Adam Smith initiated the field of economics,
and his famous quote provided this field with its central guiding principle. The pioneering
work of Walras (1874) gave a mathematical formulation for this statement, using his notion of
market equilibrium, and opened up the possibility of a formal ratification.
Mathematical ratification came with the celebrated Arrow-Debreu Theorem (1954), which
established existence of equilibrium in a very general model of the economy; however, an efficient
mechanism for finding an equilibrium has remained elusive.
The latter question can clearly benefit from the powerful tools of modern complexity theory and
algorithms, and was taken up in the earnest within theoretical computer science a decade ago.
In this talk, we will provide a summary of key developments. We will also describe a fascinating
new direction, for the theory of algorithms, that has emerged from this work.
A compelling new issue is extending this deep understanding of markets to the digital
economy -- because of some fundamental reasons, the methodology outlined above does not carry
over to the digital realm. We will outline recent progress on this issue.
Based on in part on:
http://www.cc.gatech.edu/~vazirani/NBalg.pdf
and
http://arxiv.org/abs/1007.4586
Refreshments will be served prior to the talk at 2:30 in Ryerson 255.
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