Some Equivalents of Brouwer's Fixed Point Theorem and the Existence of Economic Equilibrium
The primary goal of the paper is to deliver a simple proof of equivalence between Brouwer’s fixed point theorem and the existence of equilibrium in a simple exchange model with monotonic consumers. To achieve this end, we discuss some equivalent formulations of Brouwer’s theorem and prove additional ones, that are ’approximating’ in character or seem to be better suited for economic applications than the standard results.
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- Mas-Colell, Andreu, 1977. "On the equilibrium price set of an exchange economy," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 117-126, August.
- Kam-Chau Wong, 1997. "Excess demand functions, equilibrium prices, and existence of equilibrium," Economic Theory, Springer, vol. 10(1), pages 39-54.
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