We introduce new notions of quasiconcavity of sets in ordered vector spaces, extending the properties of sets which are images of convex sets by quasiconcave functions. This allows us to generalize known results and obtain new ones on the connectedness of the sets of various types of efficient solutions.
Quasiconcavity of sets and connectedness of the efficient frontier in ordered vector spaces / Molho, E.; Zaffaroni, Alberto. - STAMPA. - (1998), pp. 407-424.
Quasiconcavity of sets and connectedness of the efficient frontier in ordered vector spaces
ZAFFARONI, Alberto
1998
Abstract
We introduce new notions of quasiconcavity of sets in ordered vector spaces, extending the properties of sets which are images of convex sets by quasiconcave functions. This allows us to generalize known results and obtain new ones on the connectedness of the sets of various types of efficient solutions.
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