TY - JOUR
AU - Truong Xuan Duc, Ha
PY - 2024/05/21
Y2 - 2024/08/05
TI - On the equilibrium prices of a regular locally Lipschitz exchange economy
JF - Thang Long Journal of Science: Mathematics and Mathematical Sciences
JA - JSTLU-C
VL - 3
IS - 1
SE -
DO -
UR - https://science.thanglong.edu.vn/index.php/volc/article/view/123
SP -
AB - 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 Clarkeâ€™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.
ER -