题目

一道全英文的博弈论问题~
1.Suppose two wrestlers can each either fake right,fake left,or run straight at each other.The ossible outcomes are listed in the following table:
Wrestler 2
Run Straight x05 Fake Left x05 Fake Right
Run Straight x05 4,5 x05 3,9 x05x0510,8
Wrestler 1 Fake Left x05 2,1 x05 0,3 x05x053,15
Fake Right x05 6,6 4,8 x05 1,7
Suppose that each wrestler uses an iterative process to eliminate dominated strategies.Can you predict the strategies of each wrestler?Now suppose that wrestler 2 missed the class on prf.Yim’s game theory,and just decides to fake right,while wrestler 1 continues to believe that each player will use the iterative process to eliminate dominated strategies.Would wrestler 1 regret using his sophisticated strategic thinking?Can you recommend a strategy to wrestler 1 for when wrestler 1 is facing a non-sophisticated opponent (one that doesn’t optimize and may therefore be completely unpredictable)?

提问时间：2021-03-31

答案

本人的博弈论学的只是些皮毛,姑且说出来大家听听,不足之处,多多指正.题干中总共是三个问题,回答如下：1、Wrestler 2的劣势策略是“Run Straight”,因此应当被剔除的.在Wrestler 2选在“Fake Left”或者“Fake Right...