Abstract
The theorem answers, in the affirmative, the problem raised by Hildenbrand and Mertens (1971). A partial answer was given in Hildenbrand (1974, lemma 3, p. 69) where it is assumed that {fn(o)},, = r, 2, ,__ is bounded almost everywhere. A need for the full answer arose in the author’s recent work on continuous-time optimal allocation plans (paper forthcoming). We shall employ the theory of integration of correspondences (set-valued functions). Our notations and terminology follow Hildenbrand (1974, ch. I) where all the necessary material can be found; occasionally we shall give a precise reference.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
