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A NOTE ON THE EXISTENCE AND UNIQUENESS OF STATIONARY MONETARY EQUILIBRIUM IN A STOCHASTIC OLG MODEL

Published online by Cambridge University Press:  17 October 2013

Eisei Ohtaki*
Affiliation:
Kanagawa University
*
Address correspondence to: Eisei Ohtaki, Faculty of Economics, Kanagawa University, 3-27-1 Rokkakubashi, Kanagawa-ku, Yokohama-shi, Kanagawa 221-8686, Japan; e-mail: [email protected].

Abstract

This paper directly shows the equivalence between the existence of stationary monetary equilibrium and the conditional Pareto suboptimality of the initial endowment in a stochastic overlapping generations model. Especially, it gives short and constructive proofs for existence and uniqueness.

Type
Notes
Copyright
Copyright © Cambridge University Press 2013 

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References

REFERENCES

Aiyagari, S.R. and Peled, D. (1991) Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models. Journal of Economic Theory 54, 6983.CrossRefGoogle Scholar
Chattopadhyay, S. and Gottardi, P. (1999) Stochastic OLG models, market structure, and optimality. Journal of Economic Theory 89, 2167.CrossRefGoogle Scholar
Gottardi, P. (1996) Stationary monetary equilibria in overlapping generations models with incomplete markets. Journal of Economic Theory 71, 7589.Google Scholar
Lucas, R.E. Jr., (1972) Expectations and the neutrality of money. Journal of Economic Theory 4, 103124.Google Scholar
Magill, M. and Quinzii, M. (2003) Indeterminacy of equilibrium in stochastic OLG models. Economic Theory 21, 435454.CrossRefGoogle Scholar
Manuelli, R. (1990) Existence and optimality of currency equilibrium in stochastic overlapping generations models: The pure endowment case. Journal of Economic Theory 51, 268294.CrossRefGoogle Scholar
Ohtaki, E. (2011) A note on the existence of monetary equilibrium in a stochastic OLG model with a finite state space. Economics Bulletin 31, 485492.Google Scholar
Ohtaki, E. (2013) Golden rule optimality in stochastic OLG economies. Mathematical Social Sciences 65, 6066.Google Scholar
Takayama, A. (1974) Mathematical Economics. Hinsdale, IL: Dryden Press.Google Scholar