Constructive <inline-formula> <tex-math notation='TeX'>$epsilon$</tex-math></inline-formula>-Nash Equilibria for Nonzero-Sum Differential Games

Mylvaganam Thulasi; Sassano Mario; Astolfi Alessandro

首页> 外文期刊>Automatic Control, IEEE Transactions on >Constructive

$epsilon$

-Nash Equilibria for Nonzero-Sum Differential Games

【24h】

Constructive $epsilon$-Nash Equilibria for Nonzero-Sum Differential Games

机译：非零和微分游戏的构造性 $ epsilon $ -纳什均衡

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, a class of infinite-horizon, nonzero-sum differential games and their Nash equilibria are studied and the notion of -Nash equilibrium strategies is introduced. Dynamic strategies satisfying partial differential inequalities in place of the Hamilton–Jacobi–Isaacs partial differential equations associated with the differential games are constructed. These strategies constitute (local) -Nash equilibrium strategies for the differential game. The proposed methods are illustrated on a differential game for which the Nash equilibrium strategies are known and on a Lotka–Volterra model, with two competing species. Simulations indicate that both dynamic strategies yield better performance than the strategies resulting from the solution of the linear-quadratic approximation of the problem.

机译：本文研究了一类无限水平，非零和微分博弈及其纳什均衡，并介绍了-纳什均衡策略的概念。构造了满足偏微分不等式的动态策略，代替了与微分博弈相关的汉密尔顿-雅各比-艾萨克斯偏微分方程。这些策略构成了差分博弈的（局部）-纳什均衡策略。在已知纳什均衡策略的微分博弈和具有两个竞争物种的Lotka–Volterra模型中，说明了所建议的方法。仿真表明，这两种动态策略都比解决问题的线性二次逼近所产生的策略具有更好的性能。

著录项

来源
《Automatic Control, IEEE Transactions on》 |2015年第4期|950-965|共16页
作者
Mylvaganam Thulasi; Sassano Mario; Astolfi Alessandro;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Approximation methods; Games; Linear matrix inequalities; Nash equilibrium; Riccati equations; State feedback; Closed-loop systems; control design; nonlinear control systems;

机译：近似方法;博弈;线性矩阵不等式;纳什均衡;Riccati方程;状态反馈;闭环系统;控制设计;非线性控制系统;

相似文献

外文文献
中文文献
专利

1. (mathsf{B}^{p}) - (mathsf{Tree}) : A Predictive (mathsf{B}^{+}) - (mathsf{Tree}) for Reducing Writes on Phase Change Memory [J] . Hu W., Li G., Ni J., Knowledge and Data Engineering, IEEE Transactions on . 2014,第10期

机译：（mathsf {B} ^ {p}） - （mathsf {Tree}）：一种预测性（mathsf {B} ^ {+}）< / tex-math> - （mathsf {Tree}）用于减少阶段写入变更记忆
2. Closed-Loop d${bm i}/$d ${bm t}$ and d ${bm v}/$d${bm t}$ IGBT Gate Driver [J] . Lobsiger Y., Kolar J.W. Power Electronics, IEEE Transactions on . 2015,第6期

机译：闭环d $ {bm i} / $ d $ {bm t} $ 和d $ {bm v} / $ d $ {bm t} $ IGBT栅极驱动器
3. Analysis of Outage Probability and Capacity for $kappa$- $mu/eta$- $mu$ Faded Channel [J] . Kumar S., Chandrasekaran G., Kalyani S. Communications Letters, IEEE . 2015,第2期

机译： $ kappa $ - $ mu / eta $ - $ mu $ 褪色的频道
4. Solving Nonzero-Sum Nash Differential Game via Variation and Pseudospectral Methods [C] . Guang-Yan XU, Biao ZHOU, Hong-Mei ZHANG, International Conference on Computational Science and Engineering . 2015

机译：通过变化和伪谱方法解决非零和纳什差异游戏
5. Two new computer based results in game theory related to combinatorial games and Nash equilibria. [D] . Oudalov, Vladimir. 2013

机译：博弈论中两个新的基于计算机的结果与组合博弈和纳什均衡有关。
6. From Nash Equilibria to Chain Recurrent Sets: An Algorithmic Solution Concept for Game Theory [O] . Christos Papadimitriou, Georgios Piliouras 2018

机译：从纳什均衡到链复发集：游戏理论的算法解决方案概念
7. $N$ -Player Statistical Nash Game Control: $m$ -th Cost Cumulant Optimization [O] . Chukwuemeka Aduba, Chang-Hee Won 2016

机译：<内联公式> $ n $ -player统计nash游戏控制：<内联公式> $ M $ -TH成本累积优化
8. Asymptotic Analysis of Nash Equilibria in Nonzero-Sum Linear-QuadraticDifferential Games. The Two-Player Case [R] . Weeren, A. J. T. M., Schumacher, J. M., Engwerda, J. C. 1994

机译：非零和线性二次微分对中Nash平衡的渐近分析。双人案例

Constructive $epsilon$-Nash Equilibria for Nonzero-Sum Differential Games

摘要

著录项

相似文献

相关主题

期刊订阅