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Micro theory hw question?
A two-person partnership between a coder and a marketer yields profits π(a,b) where ∂2π/∂a∂b >0 where a is the measure of the coder’s action and b of the marketer’s action, measured as numbers. The profits are split between the two-parters, so the coder receives12π(a,b)−c(a) where c(·) is the cost to the coder of a. Show that if the marketer is going to put in a better effort, then the optimal choice for the coder is to put in a better action. (micro theory using monotone comparative statics)