On convex combinations of two values

• Autorzy: Andrzej S. Nowak , Tadeusz Radzik
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Shapley value; average values; cooperative transferable utility games

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1996-1997
• Tom: 24
• Numer: 1
• Strony: 47-56

Daty

wydano

1996

otrzymano

1995-04-25

Twórcy

autor

Andrzej S. Nowak

• Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 37, 50-370 Wrocław, Poland

autor

Tadeusz Radzik

• Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 37, 50-370 Wrocław, Poland

Bibliografia

• [1] A. S. Nowak and T. Radzik, A solidarity value for n-person transferable utility games, Internat. J. Game Theory 23 (1994), 43-48.
• [2] 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.