Modeling and simulation of Lanchester Equation based on game theory

2011 ◽  
Author(s):  
Yan Jin-Jiang ◽  
Wang Yong ◽  
Wang Xian-Yu
Keyword(s):  
Game Theory ◽  
Modeling And Simulation ◽  
Lanchester Equation

scholarly journals Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xiangyong Chen ◽  
Jianlong Qiu
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Dynamic Systems ◽  
Game Problem ◽  
Game Model ◽  
Optimal Reinforcement ◽  
Differential Game Theory ◽  
Military Conflicts ◽  
Lanchester Equation ◽  
Reinforcement Strategies

This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement strategies. Furthermore, we also discuss the convergence of the algorithm. Finally, a numerical example illustrates the effectiveness of the presented optimal schemes. Our proposed results provide a theoretical guide for both making warfare command decision and assessing military actions.

scholarly journals Modeling and simulation: social force model modified by Helbing model in fast pass system

2022 ◽  
Vol 355 ◽  
pp. 02041
Author(s):  
Ruiqi Zhang ◽  
Yuting Cao ◽  
Yuzhang Li
Keyword(s):  
Game Theory ◽  
Modeling And Simulation ◽  
Cooperative Games ◽  
Force Model ◽  
Social Force ◽  
Social Force Model ◽  
Pass System ◽  
Public Resources ◽  
Micro Level ◽  
Non Cooperative Games

This paper introduced Helbing’s social force model, modified it with game theory. Then how individuals in the space behave in dynamic non-cooperative games was described, different macro grouping characteristics were obtained. Individual behaviours at the micro level were simulated. Setting different parameters and conditions of the model, the macro effects of individual behaviours were observed. The overall behaviour of the system was studied. It could be used to guide the allocation of public resources.

Insights into Game Theory

2008 ◽  
Author(s):  
Ein-Ya Gura ◽  
Michael Maschler
Keyword(s):  
Game Theory

Game Theory in Wireless and Communication Networks

2009 ◽  
Author(s):  
Zhu Han ◽  
Dusit Niyato ◽  
Walid Saad ◽  
Tamer Basar ◽  
Are Hjorungnes
Keyword(s):  
Game Theory ◽  
Communication Networks
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