On the Frontier Between Possibility and Impossibility Theorems in Social Choice

Article Abstract:

An attempt is made to establish a precise frontier between possibility and impossibility theorems. Expansion consistency in conjunction with other reasonable conditions provides asymmetric distribution of power in society. The precise frontier results from some rejection criterion form the choice set in a superset.

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Multivariate Decision Making

Article Abstract:

Rules are developed for dominance of one risky multivariate option over another for utility functions of the same preference ordering. Assumption is made of indirect utility function and indirect probability distribution. The multivariate risk option is reduced to a univariate risk option.

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Some remarks on ranking opportunity sets and Arrow impossibility theorems: Correspondence results

Article Abstract:

A demonstration of the redundancy in one of the axioms in Dutta and Sen's characterization rules for the ranking of opportunity sets and in depth analysis of Generalized Utilitarian rules theorem is presented.

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