The B-nucleolus of TU-games

被引：19
作者：
Reijnierse, H [1 ]
Potters, J [1 ]
机构：
[1] Catholic Univ Nijmegen, Dept Math, NL-6525 ED Nijmegen, Netherlands
来源：
GAMES AND ECONOMIC BEHAVIOR | 1998年 / 24卷 / 1-2期
关键词：
nucleolus; core; least core; monotonic simple game;
D O I：
10.1006/game.1997.0629
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
In this paper we show that already relatively small collections of coalitions determine the nucleolus of a TU-game. We also show that for certain classes of combinatorial games a rather small collection of coalitions that determine the nucleolus can be given beforehand, i.e., without knowing the nucleolus. (C) 1998 Academic Press.
引用
收藏
页码：77 / 96
页数：20
相关论文
共 17 条
  • [1] ANKARAN J, 1991, INT J GAME THEORY, V21, P385
  • [2] The kernel/nucleolus of a standard tree game
    Granot, D
    Maschler, M
    Owen, G
    Zhu, WR
    [J]. INTERNATIONAL JOURNAL OF GAME THEORY, 1996, 25 (02) : 219 - 244
  • [3] HUBERMAN G, 1980, ANAL OPTIMIZATION SY, P416
  • [4] NUCLEOLUS OF A CHARACTERISTIC FUNCTION GAME
    KOHLBERG, E
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 20 (01) : 62 - &
  • [5] KOPELOWITZ A, 1967, 31 HEBR U JER RES PR
  • [6] KUIPERS J, 1994, THESIS U MAASTRICHT
  • [7] STRONGLY BALANCED COOPERATIVE GAMES
    LEBRETON, M
    OWEN, G
    WEBER, S
    [J]. INTERNATIONAL JOURNAL OF GAME THEORY, 1992, 20 (04) : 419 - 427
  • [8] Maschler M., 1979, Mathematics of Operations Research, V4, P303, DOI 10.1287/moor.4.4.303
  • [9] MASCHLER M, 1992, INT J GAME THEORY, V21, P83
  • [10] VALUES OF GRAPH-RESTRICTED GAMES
    OWEN, G
    [J]. SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1986, 7 (02): : 210 - 220
12