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Some remarks on properties for choice functions
(2010-03-28)
In this paper, we present five catagories of results by studying the interrelationships between properties for choice functions. The first catagory of result is about the localization assumption. The second catagory of ...
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.
Axiomatic characterization of the constrained equal awards solution for rationing problems
(2010-03-31)
In this paper we propose two different, yet related axiomatic characterizations of the Constrained Equal Award Solution for rationing problems. The solution itself and its implications are studied in the context of an item ...
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 ...
Weighted fair division problem
(2010-01-18)
The exact problem we are concerned with in this paper is of the following nature. There are a finite number of producers each equipped with a utility function of the standard variety, which converts and input into a producer ...