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Rational choice correspondence in social choice problems
(2009-12-12)
This paper grew out of a reading of an interesting exposition by Danilov and Sotskov [1997], where general one to one correspondences are established between binary relations and choice correspondences. Out purpose in this ...
Theorem in utility theory revisited
(2009-12-12)
We provide in this paper a simple proof of the proposition that comparability of first differences of utility implies cardinality when the range of the utility function is a connected subset of the reals.
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 ...
Zorn's Lemma in rational choice theory: a note
(2009-12-12)
The first significant use of Zorn s Lemma in rational choice theory is in the paper by Szpilrajin(1930), where it is established that every strict partial order can be embedded within a strict linear order. Subsequently, ...
Some solutions for abstract games: axiomatic characterisations
(2009-12-14)
In this paper we consider binary relations which are reflexive and complete. Such binary relations are referred to in the literature as abstract games. Given an abstract game a (game) solution is a function which associates ...
Axiomatic analysis of vote aggregators
(2010-01-16)
In this paper a model for the aggregation of ballot profiles is considered. In this framework some new results are obtained: the characterization of oligarchic aggregators, the characterization of the plurality aggregator ...
Axiomatic characterization of indirect utility and lexicographic extensions
(2010-01-16)
The general problem we are interested in this paper is of the following variety: We are given a finite universal set and a linear ordering on it. What is the minimal axiomatic characterization of particular extension of ...
Quasitransitive rational, choice and monotonic preference for freedom
(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 ...
Non-hausdorff topological space in which every convergent sequence converges to a unique limit
(2009-12-12)
Does there exist a non Hausdorff topological space, such that every convergent sequence in it converges to a unique limit? Considering the obvious scarcity of such spaces we were compelled to construct one by ourselves.
Orlovsky solution for acyclic comparison functions
(2009-12-14)
n this paper we characterise the Orlovsky solution and what we refer to as the family of threshold solutions. Our family of threshold solutions are somewhat larger than the family of solutions which select only those ...