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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 ...
Some properties of solutions for two dimensional choice problems reconsidered
(2010-04-03)
In this paper, we take up the outstanding problem of axiomatically characterizing what we have referred to in the paper as the additive choice function on the classical domain for choice problems. Apart from an impossibility ...