论文标题

社会互动下的统计治疗规则

Statistical Treatment Rules under Social Interaction

论文作者

Han, Seungjin, Owusu, Julius, Shin, Youngki

论文摘要

在本文中,我们在存在社会互动的情况下研究治疗分配规则。我们在匿名相互作用假设下构建一个分析框架,在该假设中,决策问题开始选择治疗部分。我们提出了一项多项式经验成功(MES)规则,其中包括曼斯基(Manski)(2004)作为特殊情况。我们根据MES规则研究了预期效用的非质合界。最后,我们证明,MES规则以Minimax后悔标准实现了渐近的最优性。

In this paper we study treatment assignment rules in the presence of social interaction. We construct an analytical framework under the anonymous interaction assumption, where the decision problem becomes choosing a treatment fraction. We propose a multinomial empirical success (MES) rule that includes the empirical success rule of Manski (2004) as a special case. We investigate the non-asymptotic bounds of the expected utility based on the MES rule. Finally, we prove that the MES rule achieves the asymptotic optimality with the minimax regret criterion.

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