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7. Problems and Applications Q12 Two athletes of equal ability are competing for a prize of $10,000. Each is deciding whether to take a dangerous

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7. Problems and Applications Q12 Two athletes of equal ability are competing for a prize of $10,000. Each is deciding whether to take a dangerous performance-enhancing drug. If one athlete takes the drug and the other does not, the one who takes the drug wins the prize. If both or neither take the drug, they tie and split the prize. Taking the drug imposes health risks that are equivalent to a loss of X dollars. Complete the following payoff matrix describing the decisions the athletes face. Player Two's Decision Take Drug Don't Take Drug Take Drug Player One's Decision Don't Take DrugFor what value of X is taking the drug the Nash equilibrium? O X > $10,000 O X $5,000 O X

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