Dissection of solutions in cooperative game theory using representation techniques

被引：19
|
作者：
Hernandez-Lamoneda, L.
Juarez, R.
Sanchez-Sanchez, F. [1 ]
机构：
[1] CIMAT, Guanajuato, Mexico
[2] Rice Univ, Dept Econ, Houston, TX 77251 USA
来源：
INTERNATIONAL JOURNAL OF GAME THEORY | 2007年 / 35卷 / 03期
关键词：
Invariant Subspace; Orthogonal Complement; Symmetric Solution; Representation Technique; Cooperative Game Theory;
D O I：
10.1007/s00182-006-0036-3
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We compute a decomposition for the space of cooperative TU-games under the action of the symmetric group S-n. In particular we identify all irreducible subspaces that are relevant to the study of symmetric linear solutions namely those that are isomorphic to the irreducible summands of R-n. We then use such decomposition to derive, in a very economical way, some old and some new results for linear symmetric solutions.
引用
收藏
页码：395 / 426
页数：32
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