Robust Social Learning from Unordered Actions
Professor Kevin He
Assistant Professor
Department of Economics
University of Pennsylvania
People often learn from others’ actions without observing the chronology of who influenced whom. We study a sequential social-learning model where agents observe predecessors’ actions as an unordered set and minimize worst-case expected loss across move orders. The unique equilibrium with this robust decision criterion is DeGroot aggregation: each agent equally averages their private signal and all previous actions. Robust actions are disproportionately influenced by early signals and converge to a random consensus centered around the true state. By contrast, Bayesian agents in the same environment learn the state, as does a Bayesian observer who sees the unordered actions of robust agents.














