Strong Duality for a Multiple-Good Monopolist
研究了多商品垄断问题中的最优机制，提出一个框架来刻画最优性条件，并分析了捆绑销售机制的最优性，给出了独立均匀分布商品下捆绑机制何时最优的结论。
We characterize optimal mechanisms for the multiple-good monopoly problem and provide a framework to find them.We show that a mechanism is optimal if and only if a measure µ derived from the buyer's type distribution satisfies certain stochastic dominance conditions.This measure expresses the marginal change in the seller's revenue under marginal changes in the rent paid to subsets of buyer types.As a corollary, we characterize the optimality of grand-bundling mechanisms, strengthening several results in the literature, where only sufficient optimality conditions have been derived.As an application, we show that the optimal mechanism for n independent uniform items each supported on [c, c + 1] is a grand-bundling mechanism, as long as c is sufficiently large, extending Pavlov's result for 2 items [Pav11].At the same time, our characterization also implies that, for all c and for all sufficiently large n, the optimal mechanism for n independent uniform items supported on [c, c + 1] is not a grand bundling mechanism.