Differential Topology and General Equilibrium with Complete and Incomplete Markets

• I.- 1. Prerequisites.- 2. Manifolds in Euclidean Spaces.- 3. Differentials.- 4. Regular Values.- 5. Manifolds with Boundary.- 6. Sard’s Theorem and Trans Versality.- 7. Homotopy and Degree Theory.- II.- 8. Exchange Economies.- 9. Production Economies.- 10. Time, Uncertainty and Incomplete Markets.- 11. Numeraire Assets.- 12. Nominal Assets.- 13. Real Assets.- 14. Restricted Participation.- 15. Planner Intervention on the Market Outcome.

From the reviews: "They [authors] should be congratulated for their effort to present this apparatus in Part I of their book in a way that is as simple and transparent as possible, but without making compromises with regard to the required level of generality. I am not aware of any other text in economics that gives a comparable treatment. The book is required reading for anyone that would like to go beyond the traditional complete markets general equilibrium model, and that wants to have a deeper undestanding of the role played by financial markets. [...] it offers a complete account of the subject of incomplete markets, and I would therefore like to recommend it highly." (P.J.J. Herings, Maastricht University in Journal of Economics / Zeitschrift fur Nationalokonomie, 81:3 (2004) "Although the book is written, as the authors say, for graduate students in an economics program and stops before really entering the core of differential topology, it is also interesting and profitable for mathematicians being involved with modern theoretical economic problems or applications of differential topology." (Alfred Gopfert, Zentralblatt MATH, Vol. 1103 (5), 2007)