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Statistical Treatment Rules under Social Interaction

Seungjin Han (), Julius Owusu and Youngki Shin ()

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Abstract: 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.

Date: 2022-09, Revised 2022-11
New Economics Papers: this item is included in nep-upt
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