Abstract
One interesting class of quasidifferentiable functions is that formed by the family of positively homogeneous functions. In this paper, the author studies the properties of these functions and uses them to derive some new results in the theory of cooperative games.
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References
J.-P. Aubin, Mathematical methods of game and economic theory (North-Holland, Amsterdam, 1979).
J.-P. Aubin, “Cooperative fuzzy games”, Mathematics of Operations Research 6 (1981) 1–13.
J.-P. Aubin, “Locally Lipschitz cooperative games”, Journal of Mathematical Economics 8 (1981) 241–262.
V.F. Demyanov, “On a relation between the Clarke sub-differential and the quasidifferential”, Vestnik Leningradskogo Universiteta 13 (1980) 18–24 (translated in Vestnik Leningrad University Mathematics 13 (1981) 183–189).
V.F. Demyanov and A.M. Rubinov, “On some approaches to a nonsmooth optimization problem” (in Russian), Ekonomika i Matematicheskie Metody 17 (1981) 1153–1174.
W.J. Meyer, “Characterization of the Steiner point”, Pacific Journal of Mathematics 35 (1970) 717–725.
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© 1986 The Mathematical Programming Society, Inc.
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Pechersky, S.L. (1986). Positively homogeneous quasidifferentiable functions and their applications in cooperative game theory. In: Demyanov, V.F., Dixon, L.C.W. (eds) Quasidifferential Calculus. Mathematical Programming Studies, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121143
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DOI: https://doi.org/10.1007/BFb0121143
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00928-0
Online ISBN: 978-3-642-00929-7
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