An Axiomatic Characterization of Linear Orders

Somdeb Lahiri

doi:rml/1203431977

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Home > Journals > Rev. Mod. Log. > Volume 9 > Issue 3-4 > Article

December 2003 - August 2004 An Axiomatic Characterization of Linear Orders

Somdeb Lahiri

Rev. Mod. Log. 9(3-4): 21-26 (December 2003 - August 2004).

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Abstract

In this paper we propose an axiomatic characterization of the set of linear orders using the concept of a choice rule, which assigns to each ordered pair of feasible alternatives and a reflexive binary relation, exactly one element from the feasible set.