Optimal Statistical Hypothesis Testing for Social Choice [article]

Lirong Xia
2020 arXiv   pre-print
We address the following question in this paper: "What are the most robust statistical methods for social choice?" By leveraging the theory of uniformly least favorable distributions in the Neyman-Pearson framework to finite models and randomized tests, we characterize uniformly most powerful (UMP) tests, which is a well-accepted statistical optimality w.r.t. robustness, for testing whether a given alternative is the winner under Mallows' model and under Condorcet's model, respectively.
arXiv:2006.11362v1 fatcat:uzfm3gre4bacdmhfvsrmozhwpu