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Debreu, G. (1983) Four Aspects of the Mathematical Theory of Economic Equilibrium. In: Mathematical Economics: Twenty Papers of Gerard Debreu, Cambridge University Press, New York, 217-231.

has been cited by the following article:

• TITLE: An Algebraic Proof of the Existence of a Competitive Equilibrium in Exchange Economies

  AUTHORS: Guang-Zhen Sun

  KEYWORDS: Exchange Economy, Existence of Competitive Equilibrium, Perron-Frobenius Theorem

  JOURNAL NAME: Theoretical Economics Letters, Vol.4 No.3, April 17, 2014

  ABSTRACT: The standard excess demand argument for existence of competitive equilibria in exchange economies invokes maximizing the market value of the aggregate excess demand function and thereby adjusting the prices toward equilibrium. By exploiting the Perron-Frobenius theorem on stochastic matrices, we offer an algebraic proof of the existence of a competitive equilibrium without resorting to such a device of excess demand.