Parallel proofs of Arrow’s and the Gibbard-Satterthwaite theorem
AbstractArrow’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.
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Bibliographic InfoPaper provided by EconWPA in its series Public Economics with number 0504003.
Length: 11 pages
Date of creation: 11 Apr 2005
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Note: Type of Document - pdf; pages: 11
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Arrow’s theorem; Gibbard-Satterthwaite theorem; Choice function; Majority.;
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- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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