Owen-stable coalition partitions in games with vector payoffs
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 10 (2018) no. 3, pp. 3-23
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The paper is devoted to the study of multicriteria cooperative games with vector payoffs and coalition partition. The imputation which is based on the concept of the Owen value is proposed. We use it for the definition of stable coalition partition for bicriteria games. In three person cooperative game with 0-1 characteristic function the conditions under which the coalition partition is stable are found.
Keywords:
Owen value, coalition partition stability, multicriteria cooperative game.
@article{MGTA_2018_10_3_a0,
author = {Vasily V. Gusev and Vladimir V. Mazalov},
title = {Owen-stable coalition partitions in games with vector payoffs},
journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
pages = {3--23},
publisher = {mathdoc},
volume = {10},
number = {3},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MGTA_2018_10_3_a0/}
}
TY - JOUR AU - Vasily V. Gusev AU - Vladimir V. Mazalov TI - Owen-stable coalition partitions in games with vector payoffs JO - Matematičeskaâ teoriâ igr i eë priloženiâ PY - 2018 SP - 3 EP - 23 VL - 10 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MGTA_2018_10_3_a0/ LA - ru ID - MGTA_2018_10_3_a0 ER -
Vasily V. Gusev; Vladimir V. Mazalov. Owen-stable coalition partitions in games with vector payoffs. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 10 (2018) no. 3, pp. 3-23. http://geodesic.mathdoc.fr/item/MGTA_2018_10_3_a0/