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$$ u(q;\theta) = \theta q - p. $$

$$ {\partial^2Q \over \partial s \partial F} > 0. $$

$$ q^P_j = Q(F_j, s_j) = [(F_0 + \eta f_j)s_j]^{1/4}, $$

$$ q^S_j = Q(F_j, s_j) = [(F_0 + \eta f_j + \eta \delta_j f_{-j})s_j]^{1/4} $$.


Key

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