Optimal tactics in community pension model for defined benefit pension plans.

Against the backdrop of an aging population, community pension initiatives are gaining traction, permeating societal landscapes. This study delves into the equilibrium strategy within the context of a defined benefit pension plan, employing a differential game framework with a community pension mode...

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Main Authors: Jun Wang, Chunli Cui, Tian Tian
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0300766
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author Jun Wang
Chunli Cui
Tian Tian
author_facet Jun Wang
Chunli Cui
Tian Tian
author_sort Jun Wang
collection DOAJ
description Against the backdrop of an aging population, community pension initiatives are gaining traction, permeating societal landscapes. This study delves into the equilibrium strategy within the context of a defined benefit pension plan, employing a differential game framework with a community pension model. Hence, the model entails the company's controls over investment rates in funds, juxtaposed with employees' inclination towards a greater proportion of community pension allocation in said funds. To tackle this issue, a stochastic differential game model for pensions under a community pension scheme is formulated. Leveraging the Hamilton-Jacobi-Bellman equation, we derive the Markov Perfect Nash Equilibrium solution and optimal portfolio. Through numerical simulations, we analyze the impact of varying risk aversion levels across different parameter values on equilibrium ratios, thereby offering insights into managerial risk tolerance.
format Article
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institution Kabale University
issn 1932-6203
language English
publishDate 2025-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj-art-841dd4d046de4da8b09c96a3ffc7c4b22025-01-08T05:31:51ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01201e030076610.1371/journal.pone.0300766Optimal tactics in community pension model for defined benefit pension plans.Jun WangChunli CuiTian TianAgainst the backdrop of an aging population, community pension initiatives are gaining traction, permeating societal landscapes. This study delves into the equilibrium strategy within the context of a defined benefit pension plan, employing a differential game framework with a community pension model. Hence, the model entails the company's controls over investment rates in funds, juxtaposed with employees' inclination towards a greater proportion of community pension allocation in said funds. To tackle this issue, a stochastic differential game model for pensions under a community pension scheme is formulated. Leveraging the Hamilton-Jacobi-Bellman equation, we derive the Markov Perfect Nash Equilibrium solution and optimal portfolio. Through numerical simulations, we analyze the impact of varying risk aversion levels across different parameter values on equilibrium ratios, thereby offering insights into managerial risk tolerance.https://doi.org/10.1371/journal.pone.0300766
spellingShingle Jun Wang
Chunli Cui
Tian Tian
Optimal tactics in community pension model for defined benefit pension plans.
PLoS ONE
title Optimal tactics in community pension model for defined benefit pension plans.
title_full Optimal tactics in community pension model for defined benefit pension plans.
title_fullStr Optimal tactics in community pension model for defined benefit pension plans.
title_full_unstemmed Optimal tactics in community pension model for defined benefit pension plans.
title_short Optimal tactics in community pension model for defined benefit pension plans.
title_sort optimal tactics in community pension model for defined benefit pension plans
url https://doi.org/10.1371/journal.pone.0300766
work_keys_str_mv AT junwang optimaltacticsincommunitypensionmodelfordefinedbenefitpensionplans
AT chunlicui optimaltacticsincommunitypensionmodelfordefinedbenefitpensionplans
AT tiantian optimaltacticsincommunitypensionmodelfordefinedbenefitpensionplans