We aim to study some key notions and results in R^n, especially those relating to convexity, continuity and differentiability.
Topics:
1. Concavity, quasiconcavity and their characterizations
2. Separation of convex sets and theorems of the alternative
3. Necessary and sufficient conditions in static optimization
4. Hemicontinuity and continuity of correspondences
5. Continuity and differentiability of value functions
6. Kakutani’s Fixed Point Theorem
Topics:
1. Concavity, quasiconcavity and their characterizations
2. Separation of convex sets and theorems of the alternative
3. Necessary and sufficient conditions in static optimization
4. Hemicontinuity and continuity of correspondences
5. Continuity and differentiability of value functions
6. Kakutani’s Fixed Point Theorem
- Docente: David Daniel Turchick Rubin