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Reconsideration of the additive choice function
(2010-03-28)
The purpose of this paper is to provide axiomatic characterizations of the additive and weighted additive choice functions which are now defined over the entire domain of convex, compact, comprehensive choice problems.
Supporting line property and the additive choice function for two dimensional choice problems
(2010-04-03)
In this paper, we provide an axiomatic characterization of the additive choice function using the additivity property due to Myerson (1981). It is seen that along with Pareto Optimality, symmetry, and a supporting line ...