The core cover in relation to the nucleolus and the Weber set

被引：22
|
作者：
Quant, M
Borm, P
Reijnierse, H
van Velzen, B
机构：
[1] Tilburg Univ, Dept Economet & OR, NL-5000 LE Tilburg, Netherlands
[2] Tilburg Univ, CentER, NL-5000 LE Tilburg, Netherlands
来源：
INTERNATIONAL JOURNAL OF GAME THEORY | 2005年 / 33卷 / 04期
关键词：
core cover; core; Weber set; nucleolus; bankruptcy games; clan games;
D O I：
10.1007/s00182-005-0210-z
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
The class of games for which the core coincides with the core cover (compromise stable games) is characterized. Moreover, an easy explicit formula for the nucleolus of this class of games is developed, using an approach based on bankruptcy problems. Also, the class of convex and compromise stable games is characterized. The relation between the core cover and the Weber set is studied and it is proved that under a weak condition their intersection is nonempty.
引用
收藏
页码：491 / 503
页数：13
相关论文
共 50 条
  • [31] An Order-theoretic Framework for the Greedy Algorithm with Applications to the Core and Weber Set of Cooperative Games
    Ulrich Faigle
    Walter Kern
    Order, 2000, 17 : 353 - 375
  • [32] A note on external angles of the core of convex TU games, marginal worth vectors and the Weber set
    Sergei Pechersky
    International Journal of Game Theory, 2015, 44 : 487 - 498
  • [33] Core, least core and nucleolus for multiple scenario cooperative games
    Hinojosa, MA
    Mármol, AM
    Thomas, LC
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 164 (01) : 225 - 238
  • [34] NONMONOTONICITY OF BARGAINING SET, KERNEL AND NUCLEOLUS OF A GAME
    MEGIDDO, N
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1974, 27 (02) : 355 - 358
  • [35] On the core and nucleolus of directed acyclic graph games
    Sziklai, Balazs
    Fleiner, Tamas
    Solymosi, Tamas
    MATHEMATICAL PROGRAMMING, 2017, 163 (1-2) : 243 - 271
  • [36] On the Core and f-Nucleolus of Flow Games
    Kern, Walter
    Paulusma, Daniel
    MATHEMATICS OF OPERATIONS RESEARCH, 2009, 34 (04) : 981 - 991
  • [37] On the core and nucleolus of directed acyclic graph games
    Balázs Sziklai
    Tamás Fleiner
    Tamás Solymosi
    Mathematical Programming, 2017, 163 : 243 - 271
  • [38] Two-bound core games and the nucleolus
    Gong, Doudou
    Dietzenbacher, Bas
    Peters, Hans
    ANNALS OF OPERATIONS RESEARCH, 2024, 336 (03) : 1419 - 1433
  • [39] Two-bound core games and the nucleolus
    Doudou Gong
    Bas Dietzenbacher
    Hans Peters
    Annals of Operations Research, 2024, 336 : 1419 - 1433
  • [40] COVER SET LATTICES
    ADAMS, ME
    SICHLER, J
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1980, 32 (05): : 1177 - 1205
12345