Essential Stability of Pareto Equilibrium for Two‐Person Differential Games

This paper investigates two‐player differential games governed by ordinary differential equations, whose Pareto equilibria constitute a dense residual subset of the game and for which every point of the Pareto equilibrium is essential. Furthermore, we prove that the Pareto equilibrium of such games possesses an essential connected component.

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Journal
Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jom/7047815
Primary Topic
Mathematical Biology Tumor Growth
Type
article
Field-Weighted Citation Impact
0.00

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article

Essential Stability of Pareto Equilibrium for Two‐Person Differential Games

Wei Ji, Ji-lin, Guanzheng-Hu, Zhongbo-Dai et al.
Journal of Mathematics
Mathematical Biology Tumor Growth
article

Essential Stability of Pareto Equilibrium for Two‐Person Differential Games

Wei Ji, Ji-lin, Guanzheng-Hu, Zhongbo-Dai, Wanqing-Xu
article en

Abstract

This paper investigates two‐player differential games governed by ordinary differential equations, whose Pareto equilibria constitute a dense residual subset of the game and for which every point of the Pareto equilibrium is essential. Furthermore, we prove that the Pareto equilibrium of such games possesses an essential connected component.

Journal of MathematicsVol. 2025(1)
Guiyang University (CN)
Guiyang University
Openalex Percentile: Top 74%
Mathematical Biology Tumor Growth
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