Allocating Mechanism under Multicriteria Situations: Power Index and Relative Normalizations

We propose an index and relative normalization for multicriteria situations by considering the maximal-usefulness among election vectors. We demonstrate that these two indexes can be analyzed using a reduction and introduce an alternative formulation for the normalized incremental index using an surplus function. Additionally, we present various dynamic processes for the normalized incremental index based on the reduction and surplus function. Finally, a different normalization are also considered by employing conditional-scales.