The Method of Majority Decision: Conditions for Transitivity and Quasi-Transitivity

Satish Jain

Chapter 8 in Social Choice Theory, 2022, pp 103-129 from Springer

Abstract: Abstract This chapter is concerned with transitivity and quasi-transitivity under the method of majority decision (MMD). Two important theorems are proved providing necessary and sufficient conditions for a profile of individual orderings to give rise to (i) transitive social preferences under the MMD; and (ii) quasi-transitive social preferences under the MMD. Using these theorems important theorems on Inada-type necessary and sufficient conditions for transitivity and quasi-transitivity under the MMD are derived as simple corollaries of the two theorems.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sptchp:978-981-16-9661-9_8

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DOI: 10.1007/978-981-16-9661-9_8

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