theorem pareto_ranking {J_high J_low ρ : ℝ}
(hJl : 1 < J_low) (hJh : J_low < J_high) (hρ : ρ < 1) :
-- The coordination gap in curvature is positive
0 < coordinationGap J_high J_low ρ :=
coordinationGap_pos hJl hJh hρPaper 1c, Section 4: Welfare and Coordination Failure