search query: @author Yannelis, N. / total: 3
reference: 3 / 3
« previous | next »
| Author: | Krasa, S. Yannelis, N. |
| Title: | An elementary proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem |
| Journal: | Economic Theory
1994 : VOL. 4:3, p. 467-477 |
| Index terms: | ECONOMIC THEORY ECONOMICS UTILITY THEORY |
| Language: | eng |
| Abstract: | This note provides an elementary short proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley (K-K-M-S) Theorem based on Brouwer's fixed point theorem. The usefulness of the K-K-M-S theorem lies in the fact that it can be applied to prove directly Scarf's (1967) theorem, i.e., any balanced game has a non-empty core. The authors also show that the K-K-M-S theorem and the Gale-Nikaido-Debreu theorem can be proved by the same arguments. |
« previous | next »
SCIMA