Example. Equal nominal score, different utility [ftip-00E3]
Example. Equal nominal score, different utility [ftip-00E3]
Take \(\mathcal Y_x=\{a,b\}\), with \(r(a)=r(b)=1\) but \(u(a)=1\) and \(u(b)=0\). Every reward maximizer is a nominal tie, while only \(a\) is utility optimal. The example shows why a score equality does not establish intent or validity.