Intransitive indifference and rationalizability of choice functions on general domains

Abstract This paper examines various intransitive preferences in terms of a behavior of a chooser in the general-domain framework, where a choice function may not be defined over all possible subsets of the fixed universe of alternatives. In characterizing the quasi-transitive rationalization of a choice function, the results of this paper show the trade off between the assumption on the domain of a choice function and the requirement that the choice set is single-valued or multi-valued.

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