Geodesic
Generalized `Lion \\ Man’ Game of R.~Rado
Contributions to game theory and management, Tome 2 (2009), pp. 8-20

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present work we study the game of degree for generalized "Lion and Man" game where "Lion" L moves on the plane while "Man" M must move along the given curve $\Gamma $ . The case when $\Gamma $ is circumference the problem was formulated by R. Rado and can be considered as the first example of dynamic games. By elementary but refined arguments R. Rado (Littlewood, 1957, Rado, 1973) proved that $L$ can capture $M$ if speeds of both points are equal. Further interesting results on "Lion $\$ Man" game concerning the case when both points moved inside a circle, was obtained by J. O. Flynn (1973, 1974).
Keywords: differential game, pursuit, evasion, strategy, "Lion and Man". 
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     author = {Abdulla A. Azamov and Atamurot Sh. Kuchkarov},
     title = {Generalized {`Lion} \&\ {Man{\textquoteright}} {Game} of {R.~Rado}},
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Abdulla A. Azamov; Atamurot Sh. Kuchkarov. Generalized `Lion \&\ Man’ Game of R.~Rado. Contributions to game theory and management, Tome 2 (2009), pp. 8-20. http://geodesic.mathdoc.fr/item/CGTM_2009_2_a1/