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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.
Elementary Proof in Rational Choice Theory Revisited
(2010-07-27)
In this paper we prove a result which, apart from having independent interest, has found applications in recent mathematical economic literature of rational choice theory. The result states that if a two-dimensional demand ...
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 ...
Characterizing the equal income market equilibrium choice correspondence: Average envy freeness instead of individual rationality from equal division
(2010-04-01)
In problems of fair division of a given bundle of resources, amongst a finite number of agents, individual rationality from equal division plays a significant role. In a society, where all resources are socially owned, one ...
Ordinal comparisons in choice problems: a diagrammatic exposition
(2010-03-27)
The basic problem in choice theory is to choose a point from a set of available points. A large literature has grown where the central issue is the choice of a vector from a compact, convex and comprehensive (terms to be ...
Quasitransitivity and monotonic preference for freedom
(2010-01-16)
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 ...
Note on characterising the median
(2010-01-16)
Consider the situation where one has to choose one among three differently priced birthday cakes, to give to a friends. It is very likely, that in the absence of strong personal reasons, one would select the cake whose ...
Abstract games admitting stable solutions
(2010-01-16)
An abiding problem in choice theory has been one of characterizing those choice functions which are obtained as a result of some kind of optimization. Specifically, the endeavour has concentrated largely on finding a binary ...
Uncovered choice functions
(2010-01-16)
An abiding problem in choice theory has been one of characterizing those choice function which are obtained as a result of some kind of optimization. Specifically, the endeavour has concentrated largely on finding a binary ...