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. a. Draw a 22 payoff matrix describing the decisions the athletes face. b. For what X is taking the drug the Nash equilibrium? c. Does making the drug safer (that is, lowering X) make the athletes better or worse off? Explain

CHAPTER 15 Principles of Chemical Equilibrium DYNAMICEQUILIBRIUM Rate of forward reaction= Rate of reverse reaction PhysicalEquilibrium ○ Vaporpressure-> Vaporizationrate = condensationrate ○ Solubility-> Rate of dissolution= rate of crystalization(concentrationremains constant) Chemicalequilibrium ○ DecompositionReactions/ Can be reversible reaction ○ Initially, only forward reactionoccurs ○ As soon as products form, reverse reaction begins ○ As the reactionproceeds,forward rxn slows down and reverse rxn speeds up, until the systemreaches dynamic equilibrium. EQUILIBRIUMCONSTANTEXPRESSION For an elementaryreaction aA + bB ⇌ gG + hH