Question: Problem 3: Competitim Balance (35 points). The demand for Team 1's wins is: P1[w1] = 3m IEWI where all indicates Team 1's winning percentage. The

Problem 3: Competitim Balance (35 points). The demand for Team 1's wins is: P1[w1] = 3m IEWI where all indicates Team 1's winning percentage. The demand for Team 2's wins is: F's-{1112) = 150 75w: The},F are the onl},F two teams in the league so n12 = 1 'ttl'l. 1. First, suppose that the league has implemented no polling.r to affect competitive balance. a) What are the equilibrium winning percentages? b) What is MC? What is the payroll of each team? c) What are the prots of each team? 2. Now suppose that the league institutes a revenue sharing agreement where Team 1 shares {11 = {13 of their revenue with Team 2, and Team 2 shares 012 = Ill of their revenue with Team 1. a) What is each team's marginal revenue after revenue sharing, MR\"; and MR\"? b) What are the equilibrium winning percentages? e) What is MC? What is the payroll of each team? (1) Graph the equilibrium before and after revenue sharing. Label all relevant inter- cepts and values
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