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In the fields of mechanism design and social choice theory, Gibbard's theorem is a result proven by philosopher Allan Gibbard in 1973. [1] It states that for any deterministic process of collective decision, at least one of the following three properties must hold: The process is dictatorial, i.e. there is a single voter whose vote chooses the ...
Normative ratings were also obtained from children ages 7–9 years, 10-12, and 13-14. The rating procedure for children was mildly adapted; among other modifications, children were tested in classrooms, given instructions in a more child-friendly language, and they were allotted 20 seconds to rate each picture instead of 15.
It can be seen as a kind of mirror image to Gibbard's theorem. The revelation principle says that if a social choice function can be implemented with some non-honest mechanism —one where players have an incentive to lie—the same function can be implemented by an incentive-compatible (honesty-promoting) mechanism with the same equilibrium ...
Allan Fletcher Gibbard (born 1942) is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the University of Michigan, Ann Arbor. [1] Gibbard has made major contributions to contemporary ethical theory, in particular metaethics, where he has developed a contemporary version of non-cognitivism.
The Gibbard–Satterthwaite theorem is a theorem in social choice theory.It was first conjectured by the philosopher Michael Dummett and the mathematician Robin Farquharson in 1961 [1] and then proved independently by the philosopher Allan Gibbard in 1973 [2] and economist Mark Satterthwaite in 1975. [3]
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Thick concepts thus seem to occupy a 'middle position' between (thin) descriptive concepts and (thin) evaluative concepts. Descriptive concepts such as water, gold, length and mass are commonly believed to pick out features of the world rather than provide reasons for action, whereas evaluative concepts such as right and good are commonly believed to provide reasons for action rather than ...