Name
Abstract | ||
|---|---|---|
We provide an axiomatisation of the Banzhaf value (or power index) and the Banzhaf interaction index for multichoice games, which are a generalisation of cooperative games with several levels of participation. Multichoice games can model any aggregation model in multicriteria decision making, provided the attributes take a finite number of values. Our axiomatisation uses standard axioms of the Banzhaf value for classical games (linearity, null axiom, symmetry), an invariance axiom specific to the multichoice context, and a generalisation of the 2-efficiency axiom, characteristic of the Banzhaf value. |
Year | Venue | Field |
|---|---|---|
2018 | MDAI | Interaction index,Discrete mathematics,Finite set,Algebra,Invariant (physics),Generalization,Axiom,Computer science |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
9 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mustapha Ridaoui | 1 | 0 | 0.68 |
| Michel Grabisch | 2 | 1955 | 184.40 |
| Christophe Labreuche | 3 | 709 | 65.78 |