The Class of Semi-strict Majority Rules
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The class of semi-strict majority rules consists of all p-semi-strict majority rules, where p is greater than half and less than one. p-semi-strict majority rule, p greater than half and less than one, is defined by: An alternative x is socially at least as good as another alternative y iff the number of individuals preferring y over x is less than or equal to half of [p (number of individuals nonindifferent between x and y) + \((1-p)\) (number of all individuals)]. In the chapter maximally sufficient conditions for transitivity and quasi-transitivity under the class of semi-strict majority rules are derived.
- Jain, Satish K. 1986. Semi-strict majority rules: Necessary and sufficient conditions for quasi-transitivity and transitivity. Unpublished manuscript. Centre for Economic Studies and Planning, Jawaharlal Nehru University.Google Scholar