Example. Equal aggregate score can hide a slice reversal [ftip-00G6]
Example. Equal aggregate score can hide a slice reversal [ftip-00G6]
On equally likely outcomes \(a,b\), take score vectors \((s_{M_1}(a),s_{M_1}(b))=(1,0)\) and \((s_{M_0}(a),s_{M_0}(b))=(0,1)\); a second score map swaps coordinates. Both artifacts have aggregate score \(1/2\) under both maps, but their per-outcome ordering reverses. Aggregate transport alone does not identify localized behavior.