Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Jul, 1965, Volume 33, Issue 3

Weak Gross Substitutability and the Existence of Competitive Equilibrium<593:WGSATE>2.0.CO;2-4
p. 593-599

Kiyoshi Kuga

The existence of a competitive equilibrium is shown, without using the well-known fixed point technique, under weak gross substitutability. The price domain is limited to the strictly positive orthant in order that the excess demand functions may not reduce to the trivally vanishing one under Walras's law and the gross substitutability conditions. We use instead a boundary condition such that a zero price will result in infinite demand. The case of an open subcone price domain for which the ordinary fixed point theorem is not applicable is also treated.

Log In To View Full Content