Abstract
Original language | English |
---|---|
Pages (from-to) | 210-220 |
Journal | European Journal of Operational Research |
Volume | 213 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2011 |
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Keywords
- game theory
- Alexia value
- convexity
- comprise stability
- big boss and clan games
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An average lexicographic value for cooperative games. / Tijs, S.H.; Borm, P.E.M.; Lohmann, E.R.M.A.; Quant, M.
In: European Journal of Operational Research, Vol. 213, No. 1, 2011, p. 210-220.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - An average lexicographic value for cooperative games
AU - Tijs, S.H.
AU - Borm, P.E.M.
AU - Lohmann, E.R.M.A.
AU - Quant, M.
N1 - Appeared earlier as CentER DP 2007-052 (rt)
PY - 2011
Y1 - 2011
N2 - For games with a non-empty core the Alexia value is introduced, a value which averages the lexicographic maxima of the core. It is seen that the Alexia value coincides with the Shapley value for convex games, and with the nucleolus for strongly compromise admissible games and big boss games. For simple flow games, clan games and compromise stable games an explicit expression and interpretation of the Alexia value is derived. Furthermore it is shown that the reverse Alexia value, defined by averaging the lexicographic minima of the core, coincides with the Alexia value for convex games and compromise stable games.
AB - For games with a non-empty core the Alexia value is introduced, a value which averages the lexicographic maxima of the core. It is seen that the Alexia value coincides with the Shapley value for convex games, and with the nucleolus for strongly compromise admissible games and big boss games. For simple flow games, clan games and compromise stable games an explicit expression and interpretation of the Alexia value is derived. Furthermore it is shown that the reverse Alexia value, defined by averaging the lexicographic minima of the core, coincides with the Alexia value for convex games and compromise stable games.
KW - game theory
KW - Alexia value
KW - convexity
KW - comprise stability
KW - big boss and clan games
U2 - 10.1016/j.ejor.2011.03.025
DO - 10.1016/j.ejor.2011.03.025
M3 - Article
VL - 213
SP - 210
EP - 220
JO - European Journal of Operational Research
JF - European Journal of Operational Research
SN - 0377-2217
IS - 1
ER -