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Symmetric majority social choice functions

Author

Listed:
  • Daniela Bubboloni

    (Dipartimento di Scienze per l'Economia e l'Impresa, Universita' degli Studi di Firenze)

  • Michele Gori

    (Dipartimento di Scienze per l'Economia e l'Impresa, Universita' degli Studi di Firenze)

Abstract

Under the assumption that individual preferences are linear orders on the set of alternatives, we study the social choice functions which satisfy suitable symmetries and obey the majority principle. In particular, supposing that individuals and alternatives are exogenously partitioned into subcommittees and subclasses, we provide necessary and sufficient conditions for the existence of reversal symmetric majority social choice functions that are anonymous and neutral with respect to the considered partitions. We also determine a general method for constructing and counting all those functions.

Suggested Citation

  • Daniela Bubboloni & Michele Gori, 2015. "Symmetric majority social choice functions," Working Papers - Mathematical Economics 2015-01, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
  • Handle: RePEc:flo:wpaper:2015-01
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    More about this item

    Keywords

    social choice function; anonymity; neutrality; reversal symmetry; majority; group theory.;
    All these keywords.

    JEL classification:

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

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