We characterize the property according to which every maximal element relative to a preorder on a compact topological space can be obtained by maximizing a transfer weakly upper continuous weak utility for its strict part. We present conditions implying the possibility of identifying all the maximal elements of a preorder on a compact topological space by means of the maximization of transfer weakly upper continuous weak utilities.
MAXIMAL ELEMENTS OF PREORDERS FROM MAXIMIZATION OF TRANSFER UPPER CONTINUOUS WEAK UTILITIES ON A COMPACT SPACE
Paolo Bevilacqua;Gianni Bosi;
2018-01-01
Abstract
We characterize the property according to which every maximal element relative to a preorder on a compact topological space can be obtained by maximizing a transfer weakly upper continuous weak utility for its strict part. We present conditions implying the possibility of identifying all the maximal elements of a preorder on a compact topological space by means of the maximization of transfer weakly upper continuous weak utilities.File in questo prodotto:
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