Prior-free Blackwell
Maxwell Rosenthal
Abstract
This paper develops a prior-free model of data-driven decision making in which the decision maker observes the entire distribution of signals generated by a known experiment under an unknown distribution of the state variable and evaluates actions according to their worst-case payoff over the set of state distributions consistent with that observation. We propose a ranking of experiments in which E is robustly more informative than $$E'$$ E ′ if the value of the decision maker’s problem after observing E is always at least as high as the value of the decision maker’s problem after observing $$E'.$$ E ′ . This comparison, which is strictly weaker than Blackwell’s classical order, holds if and only if the null space of E is contained in the null space of $$E'.$$ E ′ .
Evidence weight
Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40
| F · citation impact | 0.50 × 0.4 = 0.20 |
| M · momentum | 0.50 × 0.15 = 0.07 |
| V · venue signal | 0.50 × 0.05 = 0.03 |
| R · text relevance † | 0.50 × 0.4 = 0.20 |
† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.