Journal of Applied Analysis
Vol. 3, No. 2, pp. 249-267 (2003)
Existence of equilibria in finitely additive nonatomic coalition production economies
A. De SimoneAnna De Simone
Dipartimento di Matematica e Applicazioni R. Caccioppoli
Universitá degli Studi di Napoli Federico II
Complesso Universitario Monte S. Angelo -- Via Cintia
80126 Napoli, ITALIA
Abstract: The existence of a Walras equilibrium is proved in the framework of a finitely economy with production. The theorem assumes the production set correspondence to be closed-valued and absolutely continuous with respect to the weighting finitely additive measure. The result is obtained by using the Kakutani's fixed point theorem and some convergence results stated for multifunctions.
Keywords: Coalition production economy, Walras equilibrium, production set correspondence, Stone space
Classification (MSC2000): 90A14, 90D12, 28A12, 28B20
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Electronic version published on: 12 Jun 2003. This page was last modified: 12 Jun 2003.