The existence of equilibrium in a simple exchange model
This paper gives a new proof of the existence of equilibrium in a simple model of an exchange economy. We first formulate and prove a simple combinatorial lemma and then we use it to prove the existence of equilibrium. The combinatorial lemma allows us to derive an algorithm for the computation of equilibria. Though the existence theorem is formulated for functions defined on open simplices it is equivalent to the Brouwer fixed point theorem.
|Date of creation:||Jan 2013|
|Date of revision:||Apr 2013|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Mas-Colell, Andreu, 1977. "On the equilibrium price set of an exchange economy," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 117-126, August.
- Mackowiak, Piotr, 2010.
"The existence of equilibrium without fixed-point arguments,"
Journal of Mathematical Economics,
Elsevier, vol. 46(6), pages 1194-1199, November.
- Maćkowiak, Piotr, 2010. "The existence of equilibrium without fixed-point arguments," MPRA Paper 42044, University Library of Munich, Germany, revised 04 Sep 2010.
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:46764. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter)
If references are entirely missing, you can add them using this form.