Aggregation of Antagonistic Contingent Preferences: When Is It Possible?

Xiaotie Deng, Biaoshuai Tao, Ying Wang

Published: 01 Jan 2026, Last Modified: 24 Mar 2026CrossrefEveryoneRevisionsCC BY-SA 4.0
Abstract: We study a two-alternative voting game where voters’ preferences depend on an unobservable world state and each voter receives a private signal correlated to the true world state. We consider the collective decision when voters can collaborate in a group and have antagonistic preferences—given the revealed world state, voters will support different alternatives. We identify sharp thresholds for the fraction of the majority-type voters necessary for preference aggregation.
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