Revisiting a Three-Player Pursuit-Evasion Game

نویسندگان

چکیده

Abstract We consider the game of a holonomic evader passing between two pursuers. The optimal trajectories this are known. give detailed explanation kind’s solution and present computationally efficient way to obtain numerically by integrating retrograde path equations. Additionally, we propose method for calculating partial derivatives Value function in degree. This latter result applies differential games with homogeneous Value.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multi-Player Pursuit-Evasion Differential Games

The increasing use of unmanned assets and robots in modern military operations renews an interest in the study of general pursuit-evasion games involving multiple pursuers and multiple evaders. Due to the difficulty in formulation and rigorous treatment, the literature in this field is very limited. This paper presents a hierarchical approach to this kind of problem. With an additional structur...

متن کامل

Stochastic multi-player pursuit–evasion differential games

Autonomous aerial vehicles play an important role in military applications such as in search, surveillance and reconnaissance. Multi-player stochastic pursuit–evasion (PE) differential game is a natural model for such operations involving intelligent moving targets with uncertainties. In this paper, some fundamental issues of stochastic PE games are addressed. We first model a general stochasti...

متن کامل

On the Existence of Nash Equilibrium for a Two Player Pursuit-Evasion Game with Visibility Constraints

In this paper, we present a game theoretic analysis of a visibility based pursuitevasion game in a planar environment containing obstacles. The pursuer and the evader are holonomic having bounded speeds. Both the players have a complete map of the environment. Both the players have omnidirectional vision and have knowledge about each other’s current position as long as they are visible to each ...

متن کامل

Game Theory Models for Pursuit Evasion Games

In a pursuit evasion game, the pursuer tries to capture the evader while the evader tries to prevent this capture. A classical approach is to model this game as an infinite differential game. In this report, we model a pursuit-evasion game as a finite extensive form game, and show that the differential game is a generalization of this game. We prove that a pure-strategy Nash equilibrium always ...

متن کامل

Formation Control in Multi-player Pursuit Evasion Game with Superior Evaders

In this paper, we consider a multi-pursuer multi-evader pursuit evasion game where some evaders’ maximal speeds are higher than those of all pursuers. In multi-player pursuit evasion game, hierarchical framework is applied widely in order to decompose the original complicated multi-player game into multiple small scale games, i.e. one-pursuer one-evader games and multi-pursuer single-evader gam...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Optimization Theory and Applications

سال: 2021

ISSN: ['0022-3239', '1573-2878']

DOI: https://doi.org/10.1007/s10957-021-01899-8