On convex combinations of two values
Applicationes Mathematicae (1996)
- Volume: 24, Issue: 1, page 47-56
- ISSN: 1233-7234
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topNowak, Andrzej, and Radzik, Tadeusz. "On convex combinations of two values." Applicationes Mathematicae 24.1 (1996): 47-56. <http://eudml.org/doc/219151>.
@article{Nowak1996,
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.},
author = {Nowak, Andrzej, Radzik, Tadeusz},
journal = {Applicationes Mathematicae},
keywords = {Shapley value; average values; cooperative transferable utility games; values for cooperative TU-games; solidarity value; axiomatic description},
language = {eng},
number = {1},
pages = {47-56},
title = {On convex combinations of two values},
url = {http://eudml.org/doc/219151},
volume = {24},
year = {1996},
}
TY - JOUR
AU - Nowak, Andrzej
AU - Radzik, Tadeusz
TI - On convex combinations of two values
JO - Applicationes Mathematicae
PY - 1996
VL - 24
IS - 1
SP - 47
EP - 56
AB - 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.
LA - eng
KW - Shapley value; average values; cooperative transferable utility games; values for cooperative TU-games; solidarity value; axiomatic description
UR - http://eudml.org/doc/219151
ER -
References
top- [1] A. S. Nowak and T. Radzik, A solidarity value for n-person transferable utility games, Internat. J. Game Theory 23 (1994), 43-48. Zbl0805.90125
- [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.
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