Consider a rock-paper-scissors game between a child and an adult. With p probability the adult is bored and doesn't want to play, so she always plays paper(P). Suppose the payoff matrices are as follows: With p probability: With 1-p probability: CIA P CLA R P S -1,1 R 0,0 -1,1 1,-1 P 0,0 1,-1 0,0 -1,1 1,-1 -1,1 1,-1 0,0 Suppose O(R.PP) O(R.PR) OThere is none O(S, PR) ©(P,PP)

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Consider a rock-paper-scissors game between a child and an adult. With p probability the adult is bored and doesn't want to play, so she always
plays paper(P). Suppose the payoff matrices are as follows:
With p probability:
With 1-p probability:
CLA
CLA
R P S
R
-1,1
R
0,0 -1,1
1,-1
0,0
1,-1
0,0 -1,1
1,-1
-1,1
1,-1
0,0
Suppose
O(R.PP)
O(R.PR)
OThere is none
O(S, PR)
O(P,PP)
If p is more than 1/3
the BNE (S.PR) and (S,PS) + . (Put the lowest possible probability at the first bracket)
Transcribed Image Text:Consider a rock-paper-scissors game between a child and an adult. With p probability the adult is bored and doesn't want to play, so she always plays paper(P). Suppose the payoff matrices are as follows: With p probability: With 1-p probability: CLA CLA R P S R -1,1 R 0,0 -1,1 1,-1 0,0 1,-1 0,0 -1,1 1,-1 -1,1 1,-1 0,0 Suppose O(R.PP) O(R.PR) OThere is none O(S, PR) O(P,PP) If p is more than 1/3 the BNE (S.PR) and (S,PS) + . (Put the lowest possible probability at the first bracket)
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