有限理性下广义多目标多主多从博弈受控系统解的稳定性

Abstract

Abstract:

In this paper, the stability of solutions for controlled systems of generalized multiobjective multi-leader-follower games is studied under the framework of bounded rationality. We construct an appropriate rational function by the nonlinear scalarization method, and prove that the model is structurally stable and robust to $\varepsilon$-equilibrium. This means that most of the problems for controlled systems of generalized multiobjective multi-leader-follower games are stable on the meaning of Baire category, and also shows that, under certain conditions, the problem model can be approximated to complete rationality by bounded rationality.

Key words: Controlled systems of generalized multiobjective multi-leader-follower games, Bounded rationality, Structural stability, Robustness

CLC Number:

O225

Zhang Yongxue, Jia Wensheng. Stability of Solutions for Controlled Systems of Generalized Multiobjective Multi-Leader-Follower Games Under Bounded Rationality[J].Acta mathematica scientia,Series A, 2024, 44(6): 1689-1702.

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Stability of Solutions for Controlled Systems of Generalized Multiobjective Multi-Leader-Follower Games Under Bounded Rationality

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