Monotonicity properties of the nucleolus on the domain of veto balanced games

被引：0
作者：
J. Arin
V. Feltkamp
机构：
[1] University of the Basque Country,Departamento de Fundamentos de Análisis Económico I
[2] School of Management,undefined
来源：
Top | 2005年 / 13卷 / 2期
关键词：
Nucleolus; veto balanced games; 91A12;
D O I：
10.1007/BF02579059
中图分类号：
学科分类号：
摘要：
This note shows that the nucleolus does not satisfy aggregate monotonicity and strong monotonicity, even on the class of veto balanced games, while it does satisfy complementary antimonotonicity on this class.
引用
收藏
页码：331 / 341
页数：10
相关论文
共 17 条
  • [1] Arin J.(1997)The Nucleolus and Kernel of Veto-Rich Transferable Utility Games International Journal of Game Theory 26 61-73
  • [2] Feltkamp V.(2000)The Nucleolus Is Not Aggregate-Monotonic on the Domain of Convex Games International Journal of Game Theory 29 133-137
  • [3] Hokari T.(1971)On the Nucleolus of a Characteristic Function Game SIAM Journal of Applied Mathematics 20 62-66
  • [4] Kohlberg E.(1974)On the Monotonicity of the Bargaining Set, the Kernel and the Nucleolus of a Game SIAM Journal of Applied Mathematics 27 355-358
  • [5] Meggido N.(1988)On Big Boss Games The Economic Studies Quarterly 39 303-321
  • [6] Muto S.(1989)Information Market Games International Journal of Game Theory 18 209-226
  • [7] Nakayama M.(1969)The Nucleolus of a Characteristic Function Game SIAM Journal of Applied Mathematics 17 1163-1170
  • [8] Potters J.(1986)Game Theory and Cost Allocation Problems Management Science 32 1015-1028
  • [9] Tijs S.(1985)Monotonic Solutions of Cooperative Games International Journal of Game Theory 14 65-72
  • [10] Muto S.(1991)A Weak Monotonicity Property of the Nucleolus International Journal of Game Theory 19 407-411
12