A Sure Bet on Symmetry
反驳了文献中关于对偶性无法恢复多产出固定投入情形全部信息的观点，通过固定投入的影子价格和欧拉-勒让德变换，证明可以恢复全部所需信息。
Abstract This paper argues that assertions appearing in the literature about alleged failure of duality to recover all the desired information about the case of multiple outputs with fixed allocatable inputs are incorrect. The paper shows that through the use of shadow prices of fixed inputs, it is possible to apply the familiar Euler‐Legendre transformation and recover all the desired information. The principal avenue for achieving these results is the process of decoupling the primal from the dual problem.