Alan D. Taylor
Encyclopedia
Alan Dana Taylor is a mathematician
who, with Steven Brams
, solved the problem of envy-free
fair division
for an arbitrary number of people with the Brams–Taylor procedure
.
Taylor received his Ph.D.
in 1975 from Dartmouth College
.
He currently is the Marie Louise Bailey professor of mathematics at Union College
, in Schenectady, New York
.
He has an Erdős number
of 1, having published a joint paper with Paul Erdős
in 1992.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
who, with Steven Brams
Steven Brams
Steven J. Brams is a game theorist and political scientist at the New York University Department of Politics. Brams is best known for using the techniques of game theory and public choice to research voting systems and fair division. He is one of the independent discoverers of approval voting...
, solved the problem of envy-free
Envy-free
In mathematical sociology and especially game theory, envy-free is a property of certain fair division algorithms for a divisible heterogeneous good over which different players may have different preferences....
fair division
Fair division
Fair division, also known as the cake-cutting problem, is the problem of dividing a resource in such a way that all recipients believe that they have received a fair amount...
for an arbitrary number of people with the Brams–Taylor procedure
Brams–Taylor procedure
The Brams–Taylor theorem is a result in fair division discovered by Steven Brams and Alan D. Taylor. First published in the January 1995 issue of American Mathematical Monthly, it explicated the first finite procedure to produce an envy-free division of an infinitely divisible good among any...
.
Taylor received his Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
in 1975 from Dartmouth College
Dartmouth College
Dartmouth College is a private, Ivy League university in Hanover, New Hampshire, United States. The institution comprises a liberal arts college, Dartmouth Medical School, Thayer School of Engineering, and the Tuck School of Business, as well as 19 graduate programs in the arts and sciences...
.
He currently is the Marie Louise Bailey professor of mathematics at Union College
Union College
Union College is a private, non-denominational liberal arts college located in Schenectady, New York, United States. Founded in 1795, it was the first institution of higher learning chartered by the New York State Board of Regents. In the 19th century, it became the "Mother of Fraternities", as...
, in Schenectady, New York
Schenectady, New York
Schenectady is a city in Schenectady County, New York, United States, of which it is the county seat. As of the 2010 census, the city had a population of 66,135...
.
He has an Erdős number
Erdos number
The Erdős number describes the "collaborative distance" between a person and mathematician Paul Erdős, as measured by authorship of mathematical papers.The same principle has been proposed for other eminent persons in other fields.- Overview :...
of 1, having published a joint paper with Paul Erdős
Paul Erdos
Paul Erdős was a Hungarian mathematician. Erdős published more papers than any other mathematician in history, working with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory, and probability theory...
in 1992.
Selected publications
- Alan D. Taylor (1995) Mathematics and Politics: Strategy, Voting, Power, and Proof Springer-Verlag. ISBN 0-387-94391-9 and 0-387-94500-8
- Steven J. Brams and Alan D. Taylor (1995).An Envy-Free Cake Division Protocol American Mathematical Monthly, 102, pp. 9–19. (JUSTOR
- Steven J. Brams and Alan D. Taylor (1996). Fair Division - From cake-cutting to dispute resolution Cambridge University Press. ISBN 0-521-55390-3 and ISBN 0-521-55644-9