A note on economic equilibrium with nonsatiated utility functions

Magdalena Nockowska-Rosiak

Applicationes Mathematicae (2013)

  • Volume: 40, Issue: 1, page 117-126
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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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 -

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