Uncertain differential games with application to capitalism
By Xiangfeng Yang, Jinwu Gao. 2013
143 citations recorded by the source corpus.
AbstractUncertainty theory provides us an alternative for modeling human uncertainty without the scope of probability theory. In a dynamic game, the system dynamics often has noise by human disturbance and can be described by an uncertain differential equation. In order to investigate such a problem, an uncertain differential game model and its solution concept of feedback Nash equilibrium is proposed in this paper. Moreover, a sufficient condition is established to guarantee a feedback Nash equilibrium of the game. As an application, the capitalism problem is analyzed by uncertain differential game. The results show that uncertain differential game is a powerful tool for dealing with dynamic game.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/eb3a53371774dc3d10c5912398fecd2c49cd2806
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In Applied Mathematics
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Citations in the corpus
- Runge-Kutta Method for Solving Uncertain Differential Equations (2015, background): “Uncertain differential equations have been widely applied in many fields such as uncertain finance (Liu [7], Yao [8]), uncertain optimal control (Zhu [9]), and uncertain differential game (Yang and Gao [10]).”
- Existence and uniqueness of the solution to uncertain fractional differential equation (2015, methodology): “The uncertain differential equation has been applied in some fields such as uncertain finance [29], uncertain optimal control [30], and uncertain differential game [31].”