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A functional central limit theorem for equilibrium paths of economic dynamics
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A functional central limit theorem for equilibrium paths of economic dynamics

R. Amir and I.V. Evstigneev
Journal of mathematical economics, Vol.33(1), pp.81-99
02/01/2000
DOI: 10.1016/S0304-4068(99)00006-3

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Abstract

In this paper, we analyze probability distributions associated with stochastic equilibrium paths of economic dynamics. We consider sums of random variables (aggregate rewards or utilities) depending on successive states of the equilibrium paths. We describe conditions under which the sequences of these sums can be approximated in distribution by Brownian motion.
Brownian approximation Central limit theorem Equilibrium dynamics Exponential turnpike property

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