3. Show that, in Case 2(b), if p1() = p2() and UD (d, ) = aUJ (d,...

3. Show that, in Case 2(b), if p1(θ) = p2(θ) and UD

(d, θ) = aUJ

(d, θ) +

b, where a > 0, then p(θ) = αpD(θ)+(1−α)pJ (θ)(0 ≤ α ≤ 1) and U

(d, θ) = UD

(d, θ) satisfy the Pareto condition.