TY - JOUR
T1 - The core-partition of a hedonic game
AU - Iehlé, Vincent
PY - 2007/9/1
Y1 - 2007/9/1
N2 - In a hedonic game the preference relation of each player is defined on the set of coalitions that contain the player. The paper provides a necessary and sufficient condition for core-partition existence in a hedonic game. The condition is based on a new concept of balancedness, called pivotal balancedness, involving subsets of players in any given family of coalitions. Pivotal balancedness highlights the existence of key players in each coalition that are relevant for the existence of a core-partition. © 2007 Elsevier B.V. All rights reserved.
AB - In a hedonic game the preference relation of each player is defined on the set of coalitions that contain the player. The paper provides a necessary and sufficient condition for core-partition existence in a hedonic game. The condition is based on a new concept of balancedness, called pivotal balancedness, involving subsets of players in any given family of coalitions. Pivotal balancedness highlights the existence of key players in each coalition that are relevant for the existence of a core-partition. © 2007 Elsevier B.V. All rights reserved.
KW - Balancedness
KW - Core-partition
KW - Group formation
KW - Hedonic game
UR - https://www.scopus.com/pages/publications/34547851180
U2 - 10.1016/j.mathsocsci.2007.05.007
DO - 10.1016/j.mathsocsci.2007.05.007
M3 - Article
SN - 0165-4896
VL - 54
SP - 176
EP - 185
JO - Mathematical Social Sciences
JF - Mathematical Social Sciences
IS - 2
ER -