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Nash and Walras Equilibrium

John Geanakoplos ()
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John Geanakoplos: Cowles Foundation, https://economics.yale.edu/people/faculty/john-geanakoplos

No 1131R3, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: The existence of Nash and Walras equilibrium is proved via Brouwer's Fixed Point Theorem, without recourse to Kakutani's Fixed Point Theorem for correspondences. The domain of the Walras fixed point map is confined to the price simplex, even when there is production and weakly quasi-convex preferences. The key idea is to replace optimization with "satisficing improvement," i.e., to replace the Maximum Principle with the "Satisficing Principle."

Keywords: Equilibrium; Nash; Walras; Brouwer; Kakutani (search for similar items in EconPapers)
JEL-codes: C6 C62 (search for similar items in EconPapers)
Pages: 20 pages
Date: 1996-10, Revised 2002-02
Note: CFP 1058
References: Add references at CitEc
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Published in Economic Theory (2003), 21(2/3): 585-603

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