Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Jul, 1983, Volume 51, Issue 4

Regularity and Index Theory for Economies with Smooth Production Technologies

https://doi.org/0012-9682(198307)51:4<895:RAITFE>2.0.CO;2-P
p. 895-918

Timothy J. Kehoe

Using smooth profit functions to characterize production possibilities, we extend the concepts of regularity and fixed point index to economies with very general technologies, involving both constant and decreasing returns. To prove the genericity of regular economies we rely on an approach taken by Mas-Colell that utilizes the topological concept of transversality. We also generalize the index theorem given by Kehoe. Our results shed new light on the question of when an economy has a unique equilibrium.


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