| Article ID: | iaor19932352 |
| Country: | Germany |
| Volume: | 15 |
| Issue: | 1 |
| Start Page Number: | 17 |
| End Page Number: | 20 |
| Publication Date: | Jan 1993 |
| Journal: | OR Spektrum |
| Authors: | Borm P.E.M., Jansen M.J.M., Potters J.A.M., Tijs S.H. |
In this paper attention is focussed on the structure of the set of perfect equilibria. It turns out that the structure of this set resembles the structure of the Nash equilibrium set. Maximal Selten subsets are introduced to take the role of maximal Nash subsets. It is found that the set of perfect equilibria is the finite union of maximal Selten subsets. Furthermore it is shown that the dimension relation for maximal Nash subsets can be extended to faces of such sets. As a result a dimension relation for maximal Selten subsets is derived.