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Diskretn. Anal. Issled. Oper., 2010, Volume 17, Number 3, Pages 61–83 (Mi da612)  

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.

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Bibliographic databases:
UDC: 519.865.3
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

Citation in format AMSBIB
\Bibitem{Sid10}
\by A.~V.~Sidorov
\paper Equilibria in the economy model with overlapping generations of investors
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 3
\pages 61--83
\mathnet{http://mi.mathnet.ru/da612}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2732274}
\zmath{https://zbmath.org/?q=an:1249.91083}


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