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 / Bevilacqua, Paolo; Bosi, Gianni; Zuanon, Magalì. - In: FAR EAST JOURNAL OF MATHEMATICAL SCIENCES: FJMS. - ISSN 0972-0871. - STAMPA. - 103:1(2018), pp. 213-221. [10.17654/MS103010213]
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 | Dimensione | Formato | |
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