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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 ...
Justifiable preferences for freedom of choice
(2010-01-16)
In this paper we say that a preference for freedom of choice is justifiable if there exists a reflexive and complete binary relation on the set of alternatives, such that one oppurtunity is atleast as good as a second, if ...
Problems of fair division and the egalitarian solution: a reconsideration
(2010-01-16)
The present paper attempts to provide simple proofs of two theorems in the literature of axiomatic bargaining with a variable population. Both theorems deal with axiomatic characterizations of the egalitarian solution due ...
Threshold of median rank solutions
(2010-01-18)
In this paper we consider solutions defined on the class of transitive tournaments. Such solutions are essentially rank solutions i.e. solutions which depend on the ranks of the alternatives and not on any other physical ...
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 ...
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 ...
Lexicographic composition of abstract games
(2010-01-18)
In this paper we begin by obtaining a necessary and sufficient condition for a quasi transitive binary relation to be transitive. Then we obtain necessary and sufficient conditions for the lexicographic composition of two ...
Consequence of chernoff and outcasting and solutions for abstract games
(2010-01-16)
The purpose of this paper is to prove by induction the theorem (in Aizerman and Malishevski [1981]) that a choice function which satisfies Chernoffs axiom and Outcasting can always by expressed as the union of the solution ...