Differential Topology and General Equilibrium with Complete and Incomplete Markets

Häftad, Engelska, 2010

AvAntonio Villanacci,Laura Carosi,Pierluigi Benevieri,Andrea Battinelli

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The goal of this publication is to provide basic tools of differential topology to study systems of nonlinear equations, and to apply them to the analysis of general equilibrium models with complete and incomplete markets. The main content of general equilibrium analysis is to study existence, (local) uniqueness and efficiency of equilibria. To study existence Differential Topology and General Equilibrium with Complete and Incomplete Markets combines two features. As a first step, first order conditions (of agents' maximization problems) and market clearing conditions, instead of aggregate excess demand functions, are used. As a second step, a homotopy argument, stated and proved in relatively elementary manner, is applied to that "extended systemof equations. Local uniqueness and smooth dependence of the endogenous variables from the exogenous ones are studied using a version of a so called parametric transversality theorem.

Produktinformation

Utgivningsdatum2010-12-07
Mått170 x 244 x 28 mm
Vikt867 g
FormatHäftad
SpråkEngelska
Antal sidor474
FörlagSpringer-Verlag New York Inc.
ISBN9781441953063

Tillhör följande kategorier

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)