References
K. P. S.Bhaskara Rao and M.Bhaskara Rao, Theory of Charges. London-New York 1983.
D. Bierlein, Zur Einbeziehung der Erfahrung in spieltheoretische Modelle. Z. Oper. Res.3, 29–54 (1967).
D. Bierlein andW. Stich, On the extremality of measure extensions. Manuscripta Math.63, 89–97 (1989).
F. Delbaen, Convex games and extreme points. J. Math. Anal. Appl.45, 210–233 (1974).
N. Dunford andJ. T. Schwartz, Linear Operators, Part I (fourth printing). Intersci. Publ., New York 1967.
R.Holmes, Geometrical Functional Analysis and its Applications. Berlin-Heidelberg-New York 1975.
J. L. Kelley, Measures on Boolean Algebras. Pacific J. Math.9, 1165–1177 (1959).
J. Kindler, A Mazur-Orlicz type theorem for submodular set functions. J. Math. Anal. Appl.120, 533–546 (1986).
J. Kindler, The sigma-core of convex games and the problem of measure extension. Manuscripta Math.66, 97–108 (1989).
H. König, Sublineare Funktionale. Arch. Math.23, 500–508 (1972).
J. M.Parker, Classes of priors in games and decision models. Dissertation at the Technische Hochschule Darmstadt 1989.
D. Plachky, Extremal and monogenic additive set functions. Proc. Amer. Math. Soc.54, 193–196 (1976).
J.Rosenmüller, Kooperative Spiele und Märkte. Lecture Notes in Operations Research and Mathematical Systems53, Berlin-Heidelberg-New York 1971.
F. Topsøe, On construction of measures. Proceedings of the conference, Topology and Measure I, 343–381, Zinnowitz, Ernst-Moritz-Arndt Univ., Greifswald 1978.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Parker, J.M. Extreme points of a set of contents majorized by a submodular set function. Arch. Math 59, 572–580 (1992). https://doi.org/10.1007/BF01194850
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01194850