Blackwell's informativeness ranking with uncertainty-averse preferences

Abstract

Blackwell (1951, 1953) proposes an informativeness ranking of experiments: experiment I is more Blackwell-informative than experiment II if and only if the value of experiment I is higher than that of experiment II for all expected-utility maximizers. Under commitment and reduction, our main theorem shows that Blackwell equivalence holds for all convex and strongly monotone preferences—i.e., uncertainty-averse preferences (Cerreia-Vioglio et al., 2011b), which nest most ambiguity-averse preferences commonly used in applications as special cases.