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CONSTRUCTING EXAMPLES WITH 5 EQUILIBRIA FOR SYMMETRIC 3×2 CES /LES PURE EXCHANGE ECONOMIES

CONSTRUCTING EXAMPLES WITH 5 EQUILIBRIA FOR SYMMETRIC 3×2 CES /LES PURE EXCHANGE ECONOMIES
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摘要 This paper explores the existence of multiple equilibria for symmetric 3 indi- vidual, 2 good CES / LES pure exchange economies. Analytically, we show that there are no more than 5 equilibria in such economies. The number of equilibria varies from 5 to 3 then to 1. We generalize our analytical results of existence of 1, 3, 5 equilibria for a wide range of parametrizations. We also provide concrete examples of 1, 3, 5 equilibria with parameter zones specified. This paper explores the existence of multiple equilibria for symmetric 3 indi- vidual, 2 good CES / LES pure exchange economies. Analytically, we show that there are no more than 5 equilibria in such economies. The number of equilibria varies from 5 to 3 then to 1. We generalize our analytical results of existence of 1, 3, 5 equilibria for a wide range of parametrizations. We also provide concrete examples of 1, 3, 5 equilibria with parameter zones specified.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2411-2430,共20页 数学物理学报(B辑英文版)
基金 supported by National Natural Science Foundation of China(70825003 and 70972001) National Social Science Foundation of China(07AJL002) Arts and Humanities Program of Essential Research Foundation of Beihang University(YWF-11-06-007)
关键词 multiple equilibria CES / LES utility function multiple equilibria CES / LES utility function
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参考文献13

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