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Value-Based Network Externalities and Optimal Auction Design

机译:基于价值的网络外部性和最优拍卖设计

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We study revenue maximization in settings where agents' valuations exhibit positive network externalities. In our model, items have unlimited supply, and agents are unit demand. In a departure from previous literature, we assume agents have value based externalities, meaning that their valuation depends not only on their own signal, but also on the signals of other agents in their neighborhood who win the item. We give a complete characterization of ex-post incentive compatible and individually rational auctions in this setting. Using this characterization, we show that the optimal auction is in fact deterministic, and can be computed in polynomial time when the agents' signals are independent. We further show a constant factor approximation when the signals of agents are correlated, and an optimal mechanism in this case for a constant number of bidders.
机译:我们在代理商的估值表现出积极的网络外部性的情况下研究收益最大化。在我们的模型中,物品有无限的供应,代理商是单位需求。与以前的文献不同,我们假设代理商具有基于价值的外部性,这意味着代理商的估值不仅取决于他们自己的信号,而且还取决于赢得该项目的邻居中其他代理商的信号。在这种情况下,我们会全面描述事后激励兼容和个体理性的拍卖。使用此特征,我们表明最优拍卖实际上是确定性的,并且可以在代理的信号独立时在多项式时间内进行计算。当代理商的信号相关时,我们进一步展示了一个恒定的因子近似值,并且在这种情况下,对于恒定数量的竞标者来说,这是一个最佳机制。

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