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A note on restricted majority rules: invariance to rule selection and outcome distinctiveness

โœ Scribed by Drora Karotkin; Shmuel Nitzan

Publisher
Springer
Year
1996
Tongue
English
Weight
344 KB
Volume
13
Category
Article
ISSN
0176-1714

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โœฆ Synopsis

Recently, Karotkin (1993)

has shown that in the symmetric uncertain dichotomous choice model the set of restricted majority rules (RMRs) is special in the sense that a member of this family of rules is always the worst rule among the potentially optimal weighted majority rules (WMRs). In the current paper we establish two additional special properties of RMRs. First, given a particular configuration of the group members' decisions, the collective choice is invariant to the selection of WMRs if it is invariant to the selection of RMRs. Second, given a particular decision profile, a potentially optimal WMR can result in a distinctive collective choice which is different from the choice of any other potentially optimal WMR, if and only if it is a RMR.

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โœ Scott L. Feld; Bernard Grofman ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer US ๐ŸŒ English โš– 665 KB

In many group decision-making situations, such as faculty hiring decisions, outcomes are often arrived at by deciding one issue at a time (e.g., first rank, then subfield). It is well known that procedures limiting votes to separate orthogonal dimensions always result in a unique outcome at the gene