Analysis of Lithuanian aggregate consumption by means of dynamic programming

In the paper, we model household consumption from the perspective of the modern representative agent-based approaches. Household chooses a stochastic consumption plan to maximise the expected value of their time-additive nonlinear utility function subject to asset budget constraint. We apply the dyn...

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Main Authors: Audronė Jakaitienė, Antanas Žilinskas, Julius Žilinskas
Format: Article
Language:English
Published: Vilnius University Press 2009-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17985
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author Audronė Jakaitienė
Antanas Žilinskas
Julius Žilinskas
author_facet Audronė Jakaitienė
Antanas Žilinskas
Julius Žilinskas
author_sort Audronė Jakaitienė
collection DOAJ
description In the paper, we model household consumption from the perspective of the modern representative agent-based approaches. Household chooses a stochastic consumption plan to maximise the expected value of their time-additive nonlinear utility function subject to asset budget constraint. We apply the dynamic programming for this multi-period problem using the Bellman equation. Beforehand we estimate the structural parameters of the given problem. We employ numerical methods to compute equilibrium. Finally we obtain that observed consumption was just below equilibrium in 2008.
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spelling doaj.art-b07edc7f9bb54e22ac40f4ffe30f70292022-12-21T19:06:48ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2009-12-0150proc. LMS10.15388/LMR.2009.55Analysis of Lithuanian aggregate consumption by means of dynamic programmingAudronė Jakaitienė0Antanas Žilinskas 1Julius Žilinskas 2Institute of Mathematics and InformaticsInstitute of Mathematics and InformaticsInstitute of Mathematics and InformaticsIn the paper, we model household consumption from the perspective of the modern representative agent-based approaches. Household chooses a stochastic consumption plan to maximise the expected value of their time-additive nonlinear utility function subject to asset budget constraint. We apply the dynamic programming for this multi-period problem using the Bellman equation. Beforehand we estimate the structural parameters of the given problem. We employ numerical methods to compute equilibrium. Finally we obtain that observed consumption was just below equilibrium in 2008.https://www.journals.vu.lt/LMR/article/view/17985consumptiondynamic programmingstochastic optimization
spellingShingle Audronė Jakaitienė
Antanas Žilinskas
Julius Žilinskas
Analysis of Lithuanian aggregate consumption by means of dynamic programming
Lietuvos Matematikos Rinkinys
consumption
dynamic programming
stochastic optimization
title Analysis of Lithuanian aggregate consumption by means of dynamic programming
title_full Analysis of Lithuanian aggregate consumption by means of dynamic programming
title_fullStr Analysis of Lithuanian aggregate consumption by means of dynamic programming
title_full_unstemmed Analysis of Lithuanian aggregate consumption by means of dynamic programming
title_short Analysis of Lithuanian aggregate consumption by means of dynamic programming
title_sort analysis of lithuanian aggregate consumption by means of dynamic programming
topic consumption
dynamic programming
stochastic optimization
url https://www.journals.vu.lt/LMR/article/view/17985
work_keys_str_mv AT audronejakaitiene analysisoflithuanianaggregateconsumptionbymeansofdynamicprogramming
AT antanaszilinskas analysisoflithuanianaggregateconsumptionbymeansofdynamicprogramming
AT juliuszilinskas analysisoflithuanianaggregateconsumptionbymeansofdynamicprogramming