| Article ID: | iaor20001678 |
| Country: | Germany |
| Volume: | 28 |
| Issue: | 1 |
| Start Page Number: | 25 |
| End Page Number: | 34 |
| Publication Date: | Jan 1999 |
| Journal: | International Journal of Game Theory |
| Authors: | Zhao J. Leon |
| Keywords: | economics |
This paper provides a TU α-core existence result in a large class of normal form games. In the oligopoly markets of a homogeneous good, the TU α-core is non-empty if all profit functions are continuous and concave. In a general game, the existence of TU α-core follows from the weak separability, the compactness and convexity of choice sets and the concavity and continuity of payoff functions.