Question: John and Anna play the following version of the Rock, Paper, Scissors game. Peter always loses when playing Scissors, but as compensation, receives a

John and Anna play the following version of the Rock, Paper, Scissors game. Peter always loses when playing   

  

John and Anna play the following version of the Rock, Paper, Scissors game. Peter always loses when playing Scissors, but as compensation, receives a payoff of c = [0, 2] if both him and Ida play Paper (the value of c is fixed and known by both players). The corresponding game is represented by the following game table: John Anna RPS R 0,0 -1,1 1,-1 P 1,-1 C,-C -1,1 S -1,1-1,1 | -1,1 What is the maxmin and minmax values of this game. Does the game admit a value? What is the outcome of iterative elimination of strictly dominated strategies. What is the value of the game in mixed strategies.

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