On the equilibrium strategy of linear-quadratic time-inconsistent control problems
The paper investigates the open-loop equilibrium strategy for linear-quadratic time-inconsistent control problems. It derives an equilibrium maximum principle for this strategy and establishes the equivalence among the open-loop equilibrium strategy, two-point boundary value problems, and the equili...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025253 |
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| _version_ | 1849704011097178112 |
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| author | Wei Ji |
| author_facet | Wei Ji |
| author_sort | Wei Ji |
| collection | DOAJ |
| description | The paper investigates the open-loop equilibrium strategy for linear-quadratic time-inconsistent control problems. It derives an equilibrium maximum principle for this strategy and establishes the equivalence among the open-loop equilibrium strategy, two-point boundary value problems, and the equilibrium Riccati equation. Additionally, examples are provided to illustrate the essential differences among the open-loop equilibrium strategy, the closed-loop equilibrium strategy, and the optimal control. |
| format | Article |
| id | doaj-art-5f6212bee2df4c3391d032fe702404d3 |
| institution | DOAJ |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-5f6212bee2df4c3391d032fe702404d32025-08-20T03:16:57ZengAIMS PressAIMS Mathematics2473-69882025-03-011035480549410.3934/math.2025253On the equilibrium strategy of linear-quadratic time-inconsistent control problemsWei Ji0College of Science, Guiyang University, Guiyang 550005, ChinaThe paper investigates the open-loop equilibrium strategy for linear-quadratic time-inconsistent control problems. It derives an equilibrium maximum principle for this strategy and establishes the equivalence among the open-loop equilibrium strategy, two-point boundary value problems, and the equilibrium Riccati equation. Additionally, examples are provided to illustrate the essential differences among the open-loop equilibrium strategy, the closed-loop equilibrium strategy, and the optimal control.https://www.aimspress.com/article/doi/10.3934/math.2025253equilibrium maximum principleopen-loop equilibrium strategytime-inconsistent cost functionallinear-quadratic control problem |
| spellingShingle | Wei Ji On the equilibrium strategy of linear-quadratic time-inconsistent control problems AIMS Mathematics equilibrium maximum principle open-loop equilibrium strategy time-inconsistent cost functional linear-quadratic control problem |
| title | On the equilibrium strategy of linear-quadratic time-inconsistent control problems |
| title_full | On the equilibrium strategy of linear-quadratic time-inconsistent control problems |
| title_fullStr | On the equilibrium strategy of linear-quadratic time-inconsistent control problems |
| title_full_unstemmed | On the equilibrium strategy of linear-quadratic time-inconsistent control problems |
| title_short | On the equilibrium strategy of linear-quadratic time-inconsistent control problems |
| title_sort | on the equilibrium strategy of linear quadratic time inconsistent control problems |
| topic | equilibrium maximum principle open-loop equilibrium strategy time-inconsistent cost functional linear-quadratic control problem |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025253 |
| work_keys_str_mv | AT weiji ontheequilibriumstrategyoflinearquadratictimeinconsistentcontrolproblems |