Revisiting a Three-Player Pursuit-Evasion Game
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AbstractWe consider the game of a holonomic evader passing between two holonomic pursuers. The optimal trajectories of this game are known. We give a detailed explanation of the game of kind’s solution and present a computationally efficient way to obtain trajectories numerically by integrating the retrograde path equations. Additionally, we propose a method for calculating the partial derivatives of the Value function in the game of degree. This latter result applies to differential games with homogeneous Value.
1995 ◽
Vol 59
(6)
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pp. 941-949
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2001 ◽
pp. 191-202
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2000 ◽
Vol 33
(16)
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pp. 579-584
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2009 ◽
pp. 1-30
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2003 ◽
Vol 05
(02)
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pp. 167-189
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2004 ◽
Vol 10
(4)
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pp. 666-676
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