Nonlinear pricing (cont)

seller: max R(t) = P(q(t)) = U(q(t),t) - W(t), subject to:
- (i) Wt(t) = Ut(q(t),t) (incentive compatibility)
- (ii) W(t) � 0 (participation)
necessary conditions:
- (i) -f(t) - S [�mi / �ti (t) � 0
- (ii) u(t) m(t) � 0
- (iii) and n-1partial differential equation symmetry conditions