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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 3, Pages 61–83
(Mi da612)
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Equilibria in the economy model with overlapping generations of investors
A. V. Sidorovab a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
In the paper, the study of the economy model with endogeneous investment is continued in the situation when investment process is time-unbounded and investors (alias consumers) form overlapping generations. As opposed to previously considered cases, the consumption space is infinite dimensional, though for each specified generation the accessible goods form a finite set. Existence of an equilibrium price trajectory as well as an equilibrium inter-temporal allocation is proved, which are obtained as limits of convergent sequences in the weak topology of infinite dimensional real space. Bibl. 7.
Keywords:
competitive equilibrium, overlapping generations, endogeneous investment, discounted value, weak convergence.
Received: 29.10.2009 Revised: 24.02.2010
Citation:
A. V. Sidorov, “Equilibria in the economy model with overlapping generations of investors”, Diskretn. Anal. Issled. Oper., 17:3 (2010), 61–83
Linking options:
https://www.mathnet.ru/eng/da612 https://www.mathnet.ru/eng/da/v17/i3/p61
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Abstract page: | 396 | Full-text PDF : | 113 | References: | 48 | First page: | 6 |
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