Allan Gibbard: Difference between revisions

▲'''Allan Fletcher Gibbard''' (born 1942) is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the [[w:University of Michigan, Ann Arbor|University of Michigan, Ann Arbor]].<ref>http://www-personal.umich.edu/~gibbard/Vita.pdf</ref> Gibbard has made major contributions to contemporary ethical theory, in particular [[w:metaethics|metaethics]], where he has developed a contemporary version of [[w:non-cognitivism|non-cognitivism]]. He has also published articles in the philosophy of language, metaphysics, and [[social choice theory]].<ref name="Gibbard1973">{{cite journal |first=Allan |last=Gibbard |title=Manipulation of Voting Schemes: A General Result |journal=[[Econometrica]] |volume=41 |issue=4 |year=1973 |pages=587–601 |jstor=1914083 |doi=10.2307/1914083 }}</ref>

▲Soon after his doctoral degree, Gibbard provided a first proof of a conjecture that [[strategic voting]] was an intrinsic feature of [[Arrow's impossibility theorem|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.<ref name="Gibbard1973" /> [[Mark Satterthwaite]] later worked on a similar theorem which he published in 1975.<ref>{{cite journal |first=Mark A. |last=Satterthwaite |title=Strategy-proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions |journal=[[Journal of Economic Theory]] |volume=10 |year=1975 |issue=2 |pages=187–217 |doi=10.1016/0022-0531(75)90050-2 |citeseerx=10.1.1.471.9842 }}</ref><ref>{{cite book |first=Michael |last=Dummett |author-link=Michael Dummett |title=Voting Procedures |location=New York |publisher=Oxford University Press |year=1984 |isbn=978-0-19-876188-4 |url=https://books.google.com/books?id=LOFRAQAAIAAJ }}</ref> 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]].<ref>{{Cite journal|last=Blin|first=Jean Marie|last2=Satterthwaite|first2=Mark A.|date=1978-10-31|title=Individual decisions and group decisions. The fundamental differences|url=https://www.scholars.northwestern.edu/en/publications/individual-decisions-and-group-decisions-the-fundamental-differen|journal=Journal of Public Economics|volume=10|issue=2|pages=247–267|doi=10.1016/0047-2727(78)90037-3|issn=0047-2727}}</ref>

▲== References ==

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