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Quasi-transitive Individual Preferences

  • Satish Kumar JainEmail author
Chapter

Abstract

This chapter is concerned with the class of neutral and monotonic binary social decision rules and some of its subclasses when individual weak preference relations are reflexive, connected and quasi-transitive rather than orderings. Given that the domain consists of all logically possible profiles of individual reflexive, connected and quasi-transitive weak preference relations, a characterization is provided for the class of neutral and monotonic binary social decision rules. Given that individual weak preference relations are reflexive, connected and quasi-transitive, conditions for quasi-transitivity are derived for the method of majority decision, the class of special majority rules, and the class of social decision rules which are simple games.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Formerly ProfessorJawaharlal Nehru UniversityNew DelhiIndia

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