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The Class of Strict Majority Rules

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Domain Conditions and Social Rationality
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Abstract

The class of strict majority rules consists of all p-strict majority rules, where p is greater than or equal to half and less than one. p-strict majority rule, p greater than or equal to half and less than one, is defined by: Under p-strict majority rule, an alternative x is considered to be socially at least as good as some other alternative y iff more than p fraction of total number of individuals do not prefer y to x. This chapter provides a characterization of the class of strict majority rules and derives Inada-type necessary and sufficient conditions for transitivity and quasi-transitivity under the rules belonging to the class.

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Notes

  1. 1.

    This chapter is based on Jain (1994, 1984).

References

  • Jain, Satish K. 1994. Characterization of non-minority rules. DSA working paper 12/94. Centre for Economic Studies and Planning, Jawaharlal Nehru University.

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  • Jain, Satish K. 1984. Non-minority rules: Characterization of configurations with rational social preferences. Keio Economic Studies 21: 45–54.

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Correspondence to Satish Kumar Jain .

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© 2019 Springer Nature Singapore Pte Ltd.

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Jain, S.K. (2019). The Class of Strict Majority Rules. In: Domain Conditions and Social Rationality. Springer, Singapore. https://doi.org/10.1007/978-981-13-9672-4_7

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