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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 ...
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 ...
Chernoff and a new congruence axiom implies full rationality
(2009-12-12)
Rationality in choice theory has been an abiding concern of decision theorists. A rationality postulate of considerable significance in the literature is the weak congruence axiom of Richter (1971) and Sen (1971). It is ...
Axiomatic analysis of choosing the second best
(2009-12-14)
The dominant theme in decision theory has been the one where an agent chooses what is perceived to be the best outcome out of a (finite) set of outcomes. This has been the model that economic theory has traditionally ...
Axiomatic characterizations of voting operators
(2009-12-12)
In this paper we provide a model for the analysis of the electoral process. We prove some theorems in this paper, which characterize some voting operators. Apart form other well-known voting operators existing in the ...