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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.
Magdalena Nockowska-Rosiak. "A note on economic equilibrium with nonsatiated utility functions." Applicationes Mathematicae 40.1 (2013): 117-126. <http://eudml.org/doc/280050>.
@article{MagdalenaNockowska2013, abstract = {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.}, author = {Magdalena Nockowska-Rosiak}, journal = {Applicationes Mathematicae}, keywords = {optimization problem; Walrasian equilibrium; variational inequalities; Arrow-Debreu models; existence proof}, language = {eng}, number = {1}, pages = {117-126}, title = {A note on economic equilibrium with nonsatiated utility functions}, url = {http://eudml.org/doc/280050}, volume = {40}, year = {2013}, }
TY - JOUR AU - Magdalena Nockowska-Rosiak TI - A note on economic equilibrium with nonsatiated utility functions JO - Applicationes Mathematicae PY - 2013 VL - 40 IS - 1 SP - 117 EP - 126 AB - 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. LA - eng KW - optimization problem; Walrasian equilibrium; variational inequalities; Arrow-Debreu models; existence proof UR - http://eudml.org/doc/280050 ER -