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Path Independence and Choice Acyclicity Property

Somdeb Lahiri

No WP1998-08-07, IIMA Working Papers from Indian Institute of Management Ahmedabad, Research and Publication Department

Abstract: In this paper we study lower and upper approximations of choice functions and propose a necessary and sufficient condition for a choice function to have a path independent lower approximation. In an appendix to this paper we provide a simple proof of Theorem 2.10 in Deb (1983) in the case when the universal set is finite. In a final section of this paper, we characterize all batch choice functions using a choice acyclicity property.

Date: 1998-08-07
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