Under the same assumptions made by Mas-Colell et al. (1995), I develop a short and simple proof of existence of equilibrium prices  . The result is obtained by using the Brouwer fixed point theorem to a trimmed simplex which does not contain prices equal to zero. The mathematical techniques adopted follow closely some of the results obtained in Neuefeind (1980) and Geanakoplos (2003).
Under the same assumptions made by Mas-Colell et al. (1995), I develop a short , simple, and complete proof of existence of equilibrium prices based on excess demand functions . The result is obtained by applying the Brouwer fixed point theorem to a trimmed simplex which does not contain prices equal to zero. The mathematical techniques are based on some results obtained in Neuefeind (1980) and Geanakoplos (2003).
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and simple
, simple, and complete
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based on excess demand functions
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using
applying
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adopted follow closely some of the
are based on some