A note on the nucleolus and the kernel of the assignment game

被引：0
|
作者：
Marina Núñez
机构：
[1] University of Barcelona,Department of Actuarial, Financial and Economic Mathematics and CREB
来源：
International Journal of Game Theory | 2004年 / 33卷
关键词：
assignment game; core; kernel; nucleolus;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of an assignment game coincides with that of its buyer–seller exact representative.
引用
收藏
页码：55 / 65
页数：10
相关论文
共 50 条
  • [1] A note on the nucleolus and the kernel of the assignment game
    Núnez, M
    INTERNATIONAL JOURNAL OF GAME THEORY, 2004, 33 (01) : 55 - 65
  • [2] A note on the inclusion of the kernel in the core of the bilateral assignment game
    Driessen, TSH
    INTERNATIONAL JOURNAL OF GAME THEORY, 1998, 27 (02) : 301 - 303
  • [3] A note on the inclusion of the kernel in the core of the bilateral assignment game
    Theo S. H. Driessen
    International Journal of Game Theory, 1998, 27 : 301 - 303
  • [4] A geometric characterization of the nucleolus of the assignment game
    Llerena, Francesc
    Nunez, Marina
    ECONOMICS BULLETIN, 2011, 31 (04): : 3275 - 3285
  • [5] A procedure to compute the nucleolus of the assignment game
    Javier Martinez-de-Albeniz, F.
    Rafels, Carles
    Ybern, Neus
    OPERATIONS RESEARCH LETTERS, 2013, 41 (06) : 675 - 678
  • [6] The kernel/nucleolus of a standard tree game
    Granot, D
    Maschler, M
    Owen, G
    Zhu, WR
    INTERNATIONAL JOURNAL OF GAME THEORY, 1996, 25 (02) : 219 - 244
  • [7] A note on assignment games with the same nucleolus
    F. Javier Martínez-de-Albéniz
    Carlos Rafels
    Neus Ybern
    TOP, 2019, 27 : 187 - 198
  • [8] A note on assignment games with the same nucleolus
    Javier Martinez-de-Albeniz, F.
    Rafels, Carlos
    Ybern, Neus
    TOP, 2019, 27 (02) : 187 - 198
  • [9] NONMONOTONICITY OF BARGAINING SET, KERNEL AND NUCLEOLUS OF A GAME
    MEGIDDO, N
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1974, 27 (02) : 355 - 358
  • [10] A note on the multiple partners assignment game
    Fagebaume, Alexis
    Gale, David
    Sotomayor, Marilda
    JOURNAL OF MATHEMATICAL ECONOMICS, 2010, 46 (04) : 388 - 392
12345