Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 135-149 |
| Journal | International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems |
| Volume | 19 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 |
Fingerprint
Cite this
}
Big boss interval games. / Alparslan-Gok, S.Z.; Brânzei, R.; Tijs, S.H.
In: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 19, No. 1, 2011, p. 135-149.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - Big boss interval games
AU - Alparslan-Gok, S.Z.
AU - Brânzei, R.
AU - Tijs, S.H.
N1 - Appeared earlier as CentER DP 2008-047
PY - 2011
Y1 - 2011
N2 - This paper introduces and studies a class of cooperative interval games suitable to model market situations with two corners where players face interval uncertainty regarding the outcome of cooperation. In one corner there is a powerful player called the big boss; the other corner contains players that need the big boss to benefit from cooperation. Various characterizations of big boss interval games are given. The interval core of a big boss interval game is explicitly described, bi-monotonic allocation schemes using interval core elements are introduced, and it is shown that each element of the interval core of a big boss interval game is extendable to such a scheme. Two value-type interval solution concepts are defined on the class of big boss interval games which generate for each such game the same interval core allocation which is extendable to a bi-monotonic interval allocation scheme.
AB - This paper introduces and studies a class of cooperative interval games suitable to model market situations with two corners where players face interval uncertainty regarding the outcome of cooperation. In one corner there is a powerful player called the big boss; the other corner contains players that need the big boss to benefit from cooperation. Various characterizations of big boss interval games are given. The interval core of a big boss interval game is explicitly described, bi-monotonic allocation schemes using interval core elements are introduced, and it is shown that each element of the interval core of a big boss interval game is extendable to such a scheme. Two value-type interval solution concepts are defined on the class of big boss interval games which generate for each such game the same interval core allocation which is extendable to a bi-monotonic interval allocation scheme.
U2 - 10.1142/s0218488511006927
DO - 10.1142/s0218488511006927
M3 - Article
VL - 19
SP - 135
EP - 149
JO - International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
JF - International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
SN - 0218-4885
IS - 1
ER -