Item Infomation
Title: | On the equilibrium prices of a regular locally Lipschitz exchange economy |
Authors: | Truong Xuan Duc |
Keywords: | Brower’s degree; Sard’s theorem; essentially smooth Lipschitz map; nonsmooth equations |
Issue Date: | 2024 |
Publisher: | Thang Long Journal of Science |
Series/Report no.: | Vol. 3 No. 1 (2024) Mathematics and Mathematical Sciences;29-43 |
Abstract: | We extend classical results by Debreu and Dierker about equilibrium prices of a regular economy with continuously differentiable demand functions/excess demand function to a regular exchange economy with these functions being locally Lipschitz. Our concept of a regular economy is based on Clarke’s concept of regular value and we show that such a regular economy has a finite, odd number of equilibrium prices, the set of economies with infinite number of equilibrium prices has Lebesgue measure zero and there exist locally Lipschitz selections of equilibrium prices around a regular economy. |
URI: | http://thuvienso.thanglong.edu.vn//handle/TLU/13269 |
Appears in Collections | Số 1 Tập C3 - 2024 |
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