**Note: Although I have awarded the bounty of 50, this question is yet to receive an answer.** **I won't award the 2nd bounty of 100 to anyone, unless ofcourse, someone posts a right answer by then (unlikely).** This a variation of [this question][1] by @Gamow Suppose there are 100 lions and 100 zebras. The lions place themselves first on an infinite plane, and the zebras are placed next. Game proceeds turn-wise. On each turn, a single zebra or lion moves by upto 100m. Lions win if a single zebra is eaten. Note that once a zebra gets encircled by the lions, he is bound to lose. So the aim for the lions could be to create a wide ring around a single zebra. [1]: http://puzzling.stackexchange.com/questions/9036/the-lion-and-the-zebras