Allan Gibbard: Difference between revisions

From electowiki
Jump to navigation Jump to search
(Added #Social choice theory section from w:Allan Gibbard (<https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392>))
No edit summary
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
 
{{wikipedia}}
 
{{wikipedia}}
 
'''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> Soon after his doctoral degree, Gibbard provided a 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]].<ref name="Gibbard1973">{{cite journal |first=Allan |last=Gibbard |title=Manipulation of Voting Schemes: A General Result |journal=[[w:Econometrica|Econometrica]] |volume=41 |issue=4 |year=1973 |pages=587–601 |jstor=1914083 |doi=10.2307/1914083 }}</ref> This work would eventually become known as "'''[[Gibbard's theorem]]'''", published in 1973.<ref name="Gibbard1973" /> This theorem built on [[Kenneth Arrow]]'s work on "[[Arrow's impossibility theorem]]", published in 1951, for which Arrow (and [[w:Sir John Richards Hicks|Sir John Richards Hicks]]) won the [[w:List of Nobel laureates|won the Nobel prize in Economics in 1972]].
From [[w:Allan Gibbard]]<ref>https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392</ref>
 
<blockquote>
 
'''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>
 
   
 
[[Mark Satterthwaite]] later worked on a similar theorem to Gibbard's 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=[[w:Journal of Economic Theory|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=[[w:Journal of Public Economics|Journal of Public Economics]]|volume=10|issue=2|pages=247–267|doi=10.1016/0047-2727(78)90037-3|issn=0047-2727}}</ref>
[...]
 
   
  +
Gibbard has also 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 and metaphysics.<ref>From [[w:Allan Gibbard]]: https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392</ref>
== Social choice theory ==
 
{{See also|Social choice theory}}
 
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 ==
</blockquote>
 
 
<references />
== References ==
 
<references/>
 
   
  +
[[Category:Voting theorists]]
+
[[Category:Voting theorists|Gibbtd]]
  +
[[Category:Game theory]]

Latest revision as of 04:40, 30 April 2022

Wikipedia has an article on:

Allan Fletcher Gibbard (born 1942) is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the University of Michigan, Ann Arbor.[1] Soon after his doctoral degree, Gibbard provided a 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.[2] This work would eventually become known as "Gibbard's theorem", published in 1973.[2] This theorem built on Kenneth Arrow's work on "Arrow's impossibility theorem", published in 1951, for which Arrow (and Sir John Richards Hicks) won the won the Nobel prize in Economics in 1972.

Mark Satterthwaite later worked on a similar theorem to Gibbard's which he published in 1975.[3][4] 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.[5]

Gibbard has also 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 and metaphysics.[6]

References[edit | edit source]

  1. http://www-personal.umich.edu/~gibbard/Vita.pdf
  2. a b Gibbard, Allan (1973). "Manipulation of Voting Schemes: A General Result". Econometrica. 41 (4): 587–601. doi:10.2307/1914083. JSTOR 1914083.
  3. 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.
  4. Dummett, Michael (1984). Voting Procedures. New York: Oxford University Press. ISBN 978-0-19-876188-4.
  5. 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.
  6. From w:Allan Gibbard: https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392