Theoretical Economics 17 (2022), 929–942

Theorem 1 in Bhargava, Mohit et al. (2015) provides a necessary condition for a social choice function to be LOBIC with respect to a belief system satisfying top-set (TS) correlation. In this paper, we provide a counter example to that theorem and consequently provide a new necessary condition for the same in terms of sequential ordinal nondomination.

Keywords: Ordinal Bayesian incentive compatibility, correlated beliefs, sequential ordinal nondomination property

JEL classification: D71, D82