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Consider a team of 2 agents where agent i chooses effort ca 6 [0,2] and total output is z = 0:11:12) 0' for ac > O. The cost of effort for agenti is a; . The effort levels are privately observed and chosen non-cooperatively. (a) Find the first best as a function of 0:. (b) Assuming differentiable sharing rules 30:) where 51 (x) + 52 (x) = 1:, show when the first best can be achieved as a function of 0c