The purpose of this paper is to study the continuity and uniqueness properties of equilibria for linear exchange economies. We characterize the sets of utility vectors and initial endowments for which the equilibrium price is unique and respectively the set for which the equilibrium allocation is unique. We show that the equilibrium allocation correspondence is continuous with respect to the initial endowments and we characterize the set of full measure where the equilibrium allocation correspondence with respect to the initial endowments and utility vectors is continuous.
Publié le : 2001-07-05
Classification:
linear utility functions,
sensitivity analysis,
equilibrium correspondence,
general equilibrium,
[SHS.ECO]Humanities and Social Sciences/Economies and finances,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{halshs-00265684,
author = {Bonnisseau, Jean-Marc and Florig, Michael and Jofr\'e, Alejandro},
title = {Continuity and Uniqueness of Equilibria for Linear Exchange Economies},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/halshs-00265684}
}
Bonnisseau, Jean-Marc; Florig, Michael; Jofré, Alejandro. Continuity and Uniqueness of Equilibria for Linear Exchange Economies. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/halshs-00265684/