On the existence of the price equilibrium by different methods

Enayet U, Tarafdar; Harold Bevan Thompson

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 3, page 413-417
  • ISSN: 0010-2628

Abstract

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We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.

How to cite

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Tarafdar, Enayet U,, and Thompson, Harold Bevan. "On the existence of the price equilibrium by different methods." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 413-417. <http://eudml.org/doc/247522>.

@article{Tarafdar1993,
abstract = {We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.},
author = {Tarafdar, Enayet U,, Thompson, Harold Bevan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Brouwer degree; variational inequality; equilibrium; pure exchange economy; existence of the price equilibrium; variational inequality; degree theory; Brouwer's theorems},
language = {eng},
number = {3},
pages = {413-417},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of the price equilibrium by different methods},
url = {http://eudml.org/doc/247522},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Tarafdar, Enayet U,
AU - Thompson, Harold Bevan
TI - On the existence of the price equilibrium by different methods
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 413
EP - 417
AB - We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
LA - eng
KW - Brouwer degree; variational inequality; equilibrium; pure exchange economy; existence of the price equilibrium; variational inequality; degree theory; Brouwer's theorems
UR - http://eudml.org/doc/247522
ER -

References

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  1. Aliprantis C.D., Brown D.J., Equilibria in markets with a Riesz space of commodities, Journal of Mathematical Economics 11 (1983), 189-207. (1983) Zbl0502.90006MR0701616
  2. Border K.C., Fixed Point Theorems with Applications to Economics and Game Theory, Cambridge University Press, Cambridge, 1985. Zbl0732.47050MR0790845
  3. Browder F.E., A new generalization of the Schauder fixed point theorem, Mathematische Annalen 174 (1967), 285-290. (1967) Zbl0176.45203MR0223944
  4. Hartman P., Stampacchia G., On some nonlinear elliptic differential functional equations, Acta Mathematica 115 (1966), 271-310. (1966) MR0206537
  5. Scarf H.E., The Computations of Economic Equilibria, New Haven, Yale University, 1973. MR0391909
  6. Smale S., A convergent process of price adjustment and global Newton methods, Journal of Mathematical Economics 3 (1976), 107-120. (1976) Zbl0354.90018MR0411577
  7. Todd M.J., The computation of Fixed Points and Applications, Springer-Verlag, Berlin, 1976. Zbl0332.54003MR0410732

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