| Article ID: | iaor200973515 |
| Volume: | 17 |
| Issue: | 2 |
| Start Page Number: | 407 |
| End Page Number: | 414 |
| Publication Date: | Dec 2009 |
| Journal: | TOP |
| Authors: | Freixas Josep, Marciniak Dorota |
This paper provides several extensions of the notion of dimension of a simple game and proves the existence of a minimum subclass of weighted games with the property that every simple game can be expressed as their intersection. Some further generalizations lead to the new concept of codimension which is obtained by considering the union instead of the intersection as the basic operation.