一道全英文的博弈論問(wèn)題~
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 \x05\x0510,8
Wrestler 1 Fake Left \x05 2,1 \x05 0,3 \x05\x053,15
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)?