Fluctuations in Overlapping Generations Economies
AbstractIn the present paper stationary pure-exchange overlapping generations economies with L goods per date and M consumers per generation are considered. It is shown that for an open and dense set of utility functions there exist endowment vectors such that N-cycles exist for N less than or equal to L+1 and L less than or equal to M. The approach to existence of endogenous fluctuations is basic in the sense that the prime ingredients are the implicit function theorem and linear algebra. Moreover it is sketched how the approach can be applied to show that for an open and dense set of utility functions there exist endowment vectors such that sunspot equilibria, where prices at every date only depends on the state at that date, exist.
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Bibliographic InfoArticle provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.
Volume (Year): 9 (2009)
Issue (Month): 1 (May)
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Web page: http://www.degruyter.com
Other versions of this item:
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
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