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Weak localization and the utilitarian choice function: a note
(2009-12-12)
In axiomatic bargaining (choice theory), a choice function of some importance is the utilitarian choice function. Basically, this choice function selects the vector of utilities whose sum is greatest, among all utility ...
Quasitransitive rational choice
(2009-12-12)
We consider a finite universal set of alternatives and the set of all feasible sets are simply the set of all non-empty subsets of this universal set. A choice function assigns to each feasible set a non-empty subset of ...
New congruence axiom and transitive rational choice
(2009-12-12)
Rationality in choice theory has been an abiding concern of decision theorists. A rationality postulate of considerable significance in the literature is the weak congruence axiom of Richter [1971] and Sen [1971]. It is ...
Consequence of chernoff and outcasting
(2009-12-12)
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 ...
The equal loss choice function revisited
(2009-12-12)
Choice theory is a mathematical discipline which studies the problem of choosing a point from a set of points by studying the mathematical properties of maps assigning an outcome to each choice problem in some class of ...
Extended partial orders: a note
(2009-12-12)
The purpose of this paper is to establish the equivalence of two axioms one of which appear in Nehring [1997] and the other in Nehring and Puppe [1999]. The one in Nehring and Puppe [1999] is due to Aizerman and Malishevski ...
Chernoff and a new congruence axiom implies full rationality
(2009-12-12)
Rationality in choice theory has been an abiding concern of decision theorists. A rationality postulate of considerable significance in the literature is the weak congruence axiom of Richter (1971) and Sen (1971). It is ...