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Consensus rules based on decisive families: The case of hierarchies

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  • McMorris, F.R.
  • Powers, Robert C.

Abstract

The notion of a decisive family of voters has played an important role in the analysis of various consensus functions defined on preference profiles. This role remains when the domain shifts to profiles of hierarchical classifications. The main result of this paper is a characterization of consensus rules defined on hierarchies where the output clusters are determined by a decisive family of sets.

Suggested Citation

  • McMorris, F.R. & Powers, Robert C., 2009. "Consensus rules based on decisive families: The case of hierarchies," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 333-338, May.
    • Handle: RePEc:eee:matsoc:v:57:y:2009:i:3:p:333-338
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    References listed on IDEAS

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    1. McMorris, F. R. & Neumann, Dean, 1983. "Consensus functions defined on trees," Mathematical Social Sciences, Elsevier, vol. 4(2), pages 131-136, April.
    2. Monjardet, B., 1990. "Arrowian characterizations of latticial federation consensus functions," Mathematical Social Sciences, Elsevier, vol. 20(1), pages 51-71, August.
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    Cited by:

    1. J.C.R. Alcantud & R. de Andrés Calle & J.M. Cascón, 2013. "Consensus and the Act of Voting," Studies in Microeconomics, , vol. 1(1), pages 1-22, June.

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