Article ID: | iaor19982899 |
Country: | Germany |
Volume: | 26 |
Issue: | 2 |
Start Page Number: | 267 |
End Page Number: | 273 |
Publication Date: | Jan 1997 |
Journal: | International Journal of Game Theory |
Authors: | Cubiotti P. |
Keywords: | Nash theory and methods |
The present note extends Debreu's equilibrium existence theorem for a generalized game in the context of finite-dimensional strategy spaces, by weakening the upper semicontinuity and closed-valuedness assumption on the feasible strategy multifunctions. This is made by establishing an inequality of Ky Fan's type, whose proof is based on a selection theorem by E. Michael. An extension to generalized games with unbounded strategy spaces is also presented.