Walrasian economy and some properties of convexly compact sets-Reference-Cited by-同舟云学术

Walrasian economy and some properties of convexly compact sets

Published:2017-01-26 Issue:1 Volume:25 Page:69-76
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Cristea Mirela¹,Dascălu Doina²,Nasta Laura Nicoleta³

Affiliation:

1. Mirela Cristea University of Craiova, Craiova , Romania

2. Romanian Court of Accounts Bucharest , Romania

3. Bucharest University of Economic Studies Bucharest , Romania

Abstract

Abstract G. Žitković defined the notion of a convexly compact set in a topological space and, among other things, used it to give an extension of the Walrasian excess-demand theorem. We continue the study of convexly compactness in LCS spaces and prove a Krein-Milman theorem in this setting.

Publisher

Walter de Gruyter GmbH

Reference8 articles.

1. [1] T. B. Andersen; E. T. Poulsen: On semi-extremal subsets of convex sets. Math. Scand. 23 (1968) 167-168.10.7146/math.scand.a-10906

2. [2] K. J. Arrow; G. Debreu: Existence of an equilibrium for a competitive economy. Econometrica 22 (1954), 265-290.10.2307/1907353

3. [3] Border, K. C. Functional analytic tools for expected utility theory. Positive operators, Riesz spaces, and economics (Pasadena, CA, 1990), 69-88, Springer, Berlin, 1991.

4. [4] A. Mas-Colell, W. R. Zame: Equilibrium theory in infinite-dimensional spaces. Handbook of mathematical economics, Vol. IV, 1835-1898, Handbooks in Economics, 1, North-Holland, Amsterdam, 1991.

5. [5] L. W. McKenzie: The classical theorem on existence of competitive equilibrium. Econometrica 49 (1981), 819-841.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On L0-convex compactness in random locally convex modules;Journal of Mathematical Analysis and Applications;2022-11