ArticleOriginal scientific text
Title
On convex combinations of two values
Authors 1, 1
Affiliations
- Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 37, 50-370 Wrocław, Poland
Abstract
We study values for cooperative TU-games which are convex combinations of the Shapley value and the solidarity value, introduced in our recent paper [1]. First, we axiomatize the convex combination of the two values in the case when the coefficients are given exogenously. Next, we give an axiomatic description of the whole family of such values.
Keywords
Shapley value, average values, cooperative transferable utility games
Bibliography
- A. S. Nowak and T. Radzik, A solidarity value for n-person transferable utility games, Internat. J. Game Theory 23 (1994), 43-48.
- L. S. Shapley, A value for n-person games, in: Contributions to the Theory of Games II, Ann. Math. Stud., H. W. Kuhn and A. W. Tucker (eds.), Princeton University Press, Princeton, 1953, 307-317.
Pages:
47-56
Main language of publication
English
Received
1995-04-25
Published
1996
Exact and natural sciences