Strategy-Proof Multidimensional Mechanism Design
研究了当买家对异质物品有私有加性估值且需求非单位时，防策略且代理人自主的机制特征，发现同时进行第二价格拍卖是唯一满足条件的机制。
We consider direct mechanisms to sell heterogeneous objects when buyers have private additive valuations and nonunit demand. We completely characterize the class of strategy-proof and agent sovereign mechanisms that satisfy a local side-flatness condition. Further, we introduce a notion of “continuity up to utility” and show that any such mechanism allocating all objects at all profiles is continuous and anonymous only if it is efficient. We find that the only mechanism satisfying these properties is equivalent to operating simultaneous second-price auctions for each object—as was done by the New Zealand government in allocating license rights to the use of radio spectrum in 1990. Finally, we present a complete characterization of simultaneous second-price auctions with object-specific reserve prices in terms of these properties and a weak nonbossiness restriction.