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Parallel proofs of Arrow’s and the Gibbard-Satterthwaite theorem


  • Antonio Quesada

    (Universitat Rovira i Virgili, Spain)


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.

Suggested Citation

  • Antonio Quesada, 2005. "Parallel proofs of Arrow’s and the Gibbard-Satterthwaite theorem," Public Economics 0504003, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwppe:0504003
    Note: Type of Document - pdf; pages: 11

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    Arrow’s theorem; Gibbard-Satterthwaite theorem; Choice function; Majority.;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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