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Two people are involved in a dispute. Person 1 (row player) does not know whether person 2 (column player) is strong (Type S) or weak

Two people are involved in a dispute. Person 1 (row player) does not know whether person 2 (column player) is strong (Type S) or weak (Type W). Person 1 assigns a probability ??? = 1/4 to person 2 being strong. Person 2 is fully informed about his own type. Each person can either Fight (F) or Yield (Y). The payoffs are described by the matrices below

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