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Simple Economies with Multiple Equilibria
Ted C. Bergstrom, University of California, Santa Barbara
Ken-Ichi Shimomura, Kobe University
Takehiko Yamato, Tokyo Institute of Technology
ABSTRACT: This paper studies a general class of pure exchange
economies that have multiple equilibria, which extend an example
presented by Lloyd Shapley and Martin 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
simple comparative statics, since prices at interior competitive
equilibrium depend on the parameters of utility but not on the
endowment quantities.
SUGGESTED CITATION: Ted C. Bergstrom, Ken-Ichi Shimomura, and Takehiko Yamato,
"Simple Economies with Multiple Equilibria"
(July 9, 2008).
Department of Economics, UCSB.
Departmental Working Papers.
Paper 07-09-08.
http://repositories.cdlib.org/ucsbecon/dwp/07-09-08
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