| Article ID: | iaor19992516 |
| Country: | Germany |
| Volume: | 20 |
| Issue: | 2 |
| Start Page Number: | 101 |
| End Page Number: | 107 |
| Publication Date: | Jan 1998 |
| Journal: | OR Spektrum |
| Authors: | Eiselt H.A., Bhadury J. |
| Keywords: | Nash theory and methods |
This paper examines the location of duopolists on a tree. Given parametric prices, we first delineate necessary and sufficient conditions for locational Nash equilibria on trees. Given these conditions, we then show that Nash equilibria, provided they exist, can be reached in a repeated sequential relocation process in which both facilities follow short-term profit maximization objectives.