Results 81 to 90 of about 410 (96)
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1978
We present two proofs of a result which was formulated independently by A. Gibbard [2] and M. Satterthwaite [3]. Their theorem provides an attractive new way of viewing Arrow’s classic result on Social Welfare Functions [1]. By requiring that strategic considerations cannot be beneficially employed, it frees the statement of the ‘General Possibility ...
David Schmeidler
exaly +2 more sources
We present two proofs of a result which was formulated independently by A. Gibbard [2] and M. Satterthwaite [3]. Their theorem provides an attractive new way of viewing Arrow’s classic result on Social Welfare Functions [1]. By requiring that strategic considerations cannot be beneficially employed, it frees the statement of the ‘General Possibility ...
David Schmeidler
exaly +2 more sources
Strategyproofness and the Gibbard-Satterthwaite Theorem
Synthesis Lectures on Artificial Intelligence and Machine Learning, 2018Meir Reshef
exaly +2 more sources
A Comment on the Gibbard–Satterthwaite Theorem
The B.E. Journal of Theoretical EconomicsAbstract This paper re-examines the Gibbard–Satterthwaite theorem when some anomalous choice functions are allowed. We show non-dictatorial social aggregators that limit manipulation and non-dictatorial social aggregators do not permit manipulation.
Daniel Sandroni, Alvaro Sandroni
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Arrow’s Theorem and the Gibbard-Satterthwaite Theorem
2014In many voting systems, each voter must produce a ranked preference order of all candidates mentioned, and no ties are allowed. Such systems are called ordinal . However some voting systems, called cardinal , allow the voters to evaluate candidates separately, and a voter could say two candidates were equal.
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Wie relevant ist das Gibbard-Satterthwaite-Theorem für „den“ Konsequentialismus?
2000exaly +2 more sources
Yet Another Very Short Proof of the Gibbard-Satterthwaite Theorem
SSRN Electronic Journal, 2015We give a direct and very short proof of the famous Gibbard-Satterthwaite theorem [Alan Gibbard (1977) and Mark Satterthwaite (1975)]. The proof is based on investigating the properties of one critical preference profile constructed from those alternatives that individuals are not decisive on.
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Parallel proofs of Arrow’s and the Gibbard-Satterthwaite theorem [PDF]
Arrow’s and the Gibbard-Satterthwaite theorems are proved using a common proof strategy based on a dictatorship result for choice functions. One of the instrumental results obtained shows the inconsistency between the basic assumption in each of these theorems and a mild majority principle.
openaire
A Quantitative Version of the Gibbard–Satterthwaite Theorem for Three Alternatives
SIAM Journal on Computing, 2011Gil Kalai, Noam Nisan, Ehud Friedgut
exaly

