A Consequence of Chernoff and Outcasting

Somdeb Lahiri

No WP1999-12-03, IIMA Working Papers from Indian Institute of Management Ahmedabad, Research and Publication Department

Abstract: The purpose of this paper is to prove by induction the theorem (in Aizerman and Malishevsi [1981]) that a choice function which satisfies Chernoff’s axiom and Outcasting can always by expressed as the union of the solution sets of a finite number of maximization problems. The proof we offer is considerably simpler than the one in Aizerman and Malishevski [1981]. In Moulin [1985], a discussion of a similar result is available. Our framework closely resembles the one of choice theory as enunciated in Moulin [1985]. It is well known that a combination of Chernoff’s axiom and Outcasting is equivalent to a property called Path Independence (See Moulin [1985]).

Date: 1999-12-03
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