Please help with 2.C

2. Mixed Strategies and Athletes on Steroids. Suppose two athletes are competing in an important race and either athlete has a choice of whether they should take performance enhancing steroids or not. Although there is a risk of getting caught, if one takes the drug the other doesn't, the one who does is likely to win and the payoff to winning is enough to offset the expected cost of getting caught. If both take the drug, neither athlete gets the edge and both face the chance of getting caught and punished, in which case, both are better off if neither took the drug. The game is given below. Horst q 1-q Steroids No Drugs Jonathan p Steroids (0, 0) (6, 2) 1- p No Drugs (1, 4) (3, 3) (2.A) What is the mixed strategy for Jonathan? Note that p = the probability that the Jonathan will take steroids and 1 - p is the probability that he will not. Show your work to get full credit. Hint: to find p*, Horst has to be indifferent between choosing taking steroids and not taking them. (4 points) (2.C)Also trace out the expected payoffs for the Column Player (Horst) for each of its strategies for given levels of p chosen by Jonathan. What is the expected equilibrium payoff for Horst? Do the calculation. (8 points) Horst's Payoff 3 w 1.0 p