The purpose of this paper is to prove the existence of a Walrasian equilibrium for the Arrow-Debreu and Arrow-Debreu-McKenzie models with positive price vector with nonsatiated utility functions of consumers by using variational inequalities. Moreover, the same technique is used to give an alternative proof of the existence of a Walrasian equilibrium for the Arrow-Debreu and Arrow-Debreu-McKenzie models with nonnegative, nonzero price vector with nonsatiated utility functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am40-1-8,
author = {Magdalena Nockowska-Rosiak},
title = {A note on economic equilibrium with nonsatiated utility functions},
journal = {Applicationes Mathematicae},
volume = {40},
year = {2013},
pages = {117-126},
zbl = {1272.91073},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-1-8}
}
Magdalena Nockowska-Rosiak. A note on economic equilibrium with nonsatiated utility functions. Applicationes Mathematicae, Tome 40 (2013) pp. 117-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-1-8/