Game Theory

[Nikkita]

Ques:  Advanced Hide and Seek:

                                                  Ruth
                                   Upstairs.   Downstairs
          Upstairs.           2,0.                  0,1
Ned
           Downstairs.     0,1.                  1,0
 
What mixed strategy equilibrium can you find? (as Nash Equilibrium in pure strategies downpour exist).

[Amit Goyal]

                                                  Ruth
                                   Upstairs. (q)  Downstairs (1-q)
          Upstairs.    (p)       2,0.                  0,1
Ned
         Downstairs.  (1-p)   0,1.                  1,0


MSNE:
Ned plays Upstairs with probability p = 1/2

Roth plays Upstairs with probability q = 1/3

[Nikkita]

Thankyou sir