A Game Problem for Heat Equation
Lijuan Wang, Donghui Yang, Zhiyong Yu
TL;DR
This paper investigates a two-player game governed by the heat equation, focusing on the existence of Nash equilibrium and its bang-bang property, contributing to the understanding of control strategies in heat-related problems.
Contribution
It establishes the existence of Nash equilibrium and analyzes its bang-bang property for a heat equation-based game, providing new insights into control strategies.
Findings
Nash equilibrium exists for the heat equation game
The Nash equilibrium exhibits bang-bang control behavior
Theoretical results on equilibrium properties
Abstract
In this paper, we consider a two-person game problem governed by a linear heat equation. The existence of Nash equilibrium for this problem is considered. Moreover, the bang-bang property of Nash equilibrium is discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems