Allan Gibbard

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From w:Allan Gibbard[1]

Allan Fletcher Gibbard (born 1942) is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the University of Michigan, Ann Arbor.[2] Gibbard has made major contributions to contemporary ethical theory, in particular metaethics, where he has developed a contemporary version of non-cognitivism. He has also published articles in the philosophy of language, metaphysics, and social choice theory.[3]

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Social choice theory

Soon after his doctoral degree, Gibbard provided a first proof of a conjecture that strategic voting was an intrinsic feature of non-dictatorial voting systems with at least three choices, a conjecture of Michael Dummett and Robin Farquharson. This work would eventually become known as "Gibbard's theorem", published in 1973.[3] Mark Satterthwaite later worked on a similar theorem which he published in 1975.[4][5] Satterthwaite and Jean Marie Brin published a paper in 1978 describing Gibbard's and Satterthwaite's mathematical proofs as the "Gibbard–Satterthwaite theorem" and described its relationship to Arrow's impossibility theorem.[6]

References

  1. https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392
  2. http://www-personal.umich.edu/~gibbard/Vita.pdf
  3. a b Gibbard, Allan (1973). "Manipulation of Voting Schemes: A General Result". Econometrica. 41 (4): 587–601. doi:10.2307/1914083. JSTOR 1914083.
  4. Satterthwaite, Mark A. (1975). "Strategy-proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions". Journal of Economic Theory. 10 (2): 187–217. CiteSeerX 10.1.1.471.9842. doi:10.1016/0022-0531(75)90050-2.
  5. Dummett, Michael (1984). Voting Procedures. New York: Oxford University Press. ISBN 978-0-19-876188-4.
  6. Blin, Jean Marie; Satterthwaite, Mark A. (1978-10-31). "Individual decisions and group decisions. The fundamental differences". Journal of Public Economics. 10 (2): 247–267. doi:10.1016/0047-2727(78)90037-3. ISSN 0047-2727.