In this paper we analyze the relationship between acyclic social decision functions and fixed agenda social choice correspondences which verify some rationality conditions (such as Pareto, independence, monotonicity or neutrality). This enables us to translate known sesults of monlotonicity or...

Numerical representations of choice functions allow the expression of a problem of choice as a problem of finding maxima of real valued functions, which requires less information to be defined and which is easier to work with. In this paper, the existence of numerical representations of choice...

In this paper we analyze the explicit representation of fixed agenda social choice correspondence under different rationality assumptions (independence, neutrality, monotonicity, ...). It is well know in the literature that, under some of theses assumptions, the existence of dictators,...