Existence of a Walrasian Equilibrium in Locally Convex Topological Vector Spaces, with Interdependent Utility Functions

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DOI: 10.4236/tel.2017.71005    1,737 Downloads   2,990 Views  

ABSTRACT

In this paper we extend the well known result of existence of Walrasian equilibrium given in Debreu (1952) to economies modeled over topological vector spaces. Our work is closely related to the previous results of Yannelis-Pranhakar (1983), and Tan and Yuan (1999), but unlike these papers we prove the existence of a Walrasian equilibrium in infinite dimensional economies with interdependent and price-dependent utilities.

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Accinelli, E. , García, A. and Torres, M. (2017) Existence of a Walrasian Equilibrium in Locally Convex Topological Vector Spaces, with Interdependent Utility Functions. Theoretical Economics Letters, 7, 35-48. doi: 10.4236/tel.2017.71005.

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