Simple Economies with Multiple Equilibria

Ted Bergstrom (), Ken-Ichi Shimomura and Yamato Takehiko
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Yamato Takehiko: Tokyo Institute of Technology, yamato@valdes.titech.ac.jp

The B.E. Journal of Theoretical Economics, 2009, vol. 9, issue 1, 31

Abstract: We study a general class of pure exchange economies that have multiple equilibria. This class generalizes an example presented by Shapley and Shubik. For such economies, we find easily verified conditions that determine whether there are multiple equilibria. We also provide simple methods for constructing economies in which arbitrary pre-specified sets of prices are equilibria. These economies have strong comparative statics properties, since prices at interior competitive equilibrium depend on the parameters of utility but not on the endowment quantities. We believe that this easily manipulated special case is a valuable addition to the class of simple general equilibrium economies that can be used as testing grounds in economic theory.

Keywords: competitive equilibrium; multiple equilibria; comparative statics; quasi-linear utility; Shapley-Shubik economy (search for similar items in EconPapers)
Date: 2009
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DOI: 10.2202/1935-1704.1609

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