Michael Dummett - Elections and Voting

Elections and Voting

See also: Gibbard–Satterthwaite theorem and Robin Farquharson

Dummett and Robin Farquharson published influential articles on the theory of voting, in particular conjecturing that deterministic voting rules with more than three issues faced endemic strategic voting. The Dummett-Farquharson conjecture was proved by Allan Gibbard, a philosopher and former student of Kenneth J. Arrow and John Rawls, and by Mark A. Satterthwaite, an economist.

After the establishment of the Farquarson-Dummett conjecture by Gibbard and Sattherthwaite, Dummett contributed three proofs of the Gibbard–Satterthwaite theorem in his monograph on voting. He also wrote a shorter overview of the theory of voting for the educated public.

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