原题绿皮书 Ch2 - Brain TeasersOne hundred tigers and one sheep are put on a magic island that only has grass. Tigers can eat grass, but they would rather eat sheep.A. Each time only one tiger can eat one sheep, and that tiger itself will become a sheep after it eats the sheep.B. All tigers are smart and perfectly rational and they want to survive.中文题意岛上有100只老虎和1只羊。老虎可以吃草但更想吃羊。老虎吃了羊后自己会变成羊。所有老虎完全理性首要目标是活命。问羊会被吃掉吗解答从最简单的情况开始递推n1吃。变羊后没其他老虎安全。n2不吃。吃了变羊对方就是n1的情况一定吃我。n3吃。吃了变n2没人敢动我。n4不吃。吃了变n3会被吃。规律奇数吃偶数不吃。答案n100是偶数羊不会被吃。# 量化面试 # Quant # BrainTeaser # 博弈论 # 数学归纳法