MAU34804 - Fixed Point Theorems and Economic Equilibria Dr. David R. Wilkins Slide Presentations - Hilary Term 2024

Slide Presentations incorporating Course Notes

Section 1: Review of Basic Results of Analysis in Euclidean Spaces

Section 2: Correspondences and Hemicontinuity

Section 3: Simplices and Convexity

Section 4: Simplicial Complexes

Section 5: Fixed Point Theorems

Section 6: Game Theory and Nash Equilibria

Section 7: Walrasian Equilibria

Appendices

Appendix A: Basic Proofs of Real Analysis

Appendix B: Alternative Proofs of Results concerning Correspondences

Appendix C: Historical Note on Berge's Maximum Theorem

Appendix D: Further Results concerning Barycentric Subdivision

Appendix E: Some Notational Conventions involving Vectors and Matrices

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Dr. David R. Wilkins, School of Mathematics, Trinity College Dublin.