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Symmetric majority rules

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  • Michele Gori

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

  • Daniela Bubboloni

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

Abstract

In the standard arrovian framework and under the assumption that individual preferences and social outcomes are linear orders on the set of alternatives, we study the rules 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 sucient conditions for the existence of reversal symmetric majority rules that are anonymous and neutral with respect to the considered partitions. We also determine a general method for constructing and counting those rules and we explicitly apply it to some simple cases.

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Bibliographic Info

Paper provided by Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa in its series Working Papers - Mathematical Economics with number 2014-02.

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Length: 22 pages
Date of creation: Feb 2014
Date of revision:
Handle: RePEc:flo:wpaper:2014-02

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Keywords: social welfare function; anonymity; neutrality; reversal symmetry; majority; group theory.;

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  1. Perry, Jonathan & Powers, Robert C., 2008. "Aggregation rules that satisfy anonymity and neutrality," Economics Letters, Elsevier, vol. 100(1), pages 108-110, July.
  2. Antonio Quesada, 2013. "The majority rule with a chairman," Social Choice and Welfare, Springer, vol. 40(3), pages 679-691, March.
  3. Powers, R.C., 2010. "Maskin monotonic aggregation rules and partial anonymity," Economics Letters, Elsevier, vol. 106(1), pages 12-14, January.
  4. Michele Gori & Daniela Bubboloni, 2013. "Anonymous, neutral and reversal symmetric majority rules," Working Papers - Mathematical Economics 2013-05, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
  5. Campbell, Donald E. & Kelly, Jerry S., 2013. "Anonymity, monotonicity, and limited neutrality: Selecting a single alternative from a binary agenda," Economics Letters, Elsevier, vol. 118(1), pages 10-12.
  6. Michele Gori & Daniela Bubboloni, 2013. "Anonymous and neutral majority rules," Working Papers - Mathematical Economics 2013-02, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa, revised Oct 2013.
  7. Campbell, Donald E. & Kelly, Jerry S., 2011. "Majority selection of one alternative from a binary agenda," Economics Letters, Elsevier, vol. 110(3), pages 272-273, March.
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