想入ibank？先看看投資公司澳蒂華Optiver面試題 | 廣東話/粵語 | 中字 | 字幕
112#Optiver #博奕 #投資公司
題目是有三個玩家A B C
他們要輪流在0到1之間(不重覆)選一個數字
然後系統會隨機選一個數字
誰最近系統所選的數字 誰就獲勝
有幾個前題
第一個前題就是 玩家不會針對人, 他只了為了贏而做選擇
第二個前題是 如果玩家有幾個最優解, 他就會隨便選擇一個
你現在要回答以下三個問題
1) 當A選擇0 那麼B的最好選擇是什麼？
2) A的最好選擇是什麼？
3) 你可以寫一個程式去回答, 當4個人玩的時候, A應該選擇什麼才是最好？
Three players A, B, C play the following game. First, A picks a real number between 0 and 1 (both inclusive), then B picks a number in the same range (different from A’s choice) and finally C picks a number, also in the same range, (different from the two chosen numbers). We then pick a number in the range uniformly randomly. Whoever’s number is closest to this random number wins the game. Assume that A, B and C all play optimally and their sole goal is to maximise their chances of winning. Also assume that if one of them has several optimal choices, then that player will randomly pick one of the optimal choices.
a) If A chooses 0, then what is the best choice for B?
b) What is the best choice for A?
c) Can you write a program to figure out the best choice for the first player when the game is played among four players?
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https://www.optiver.com/working-at-optiver/career-opportunities/517702/
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