Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Axiomatization of an importance index for $k$-ary games   We consider MultiCriteria Decision Analysis models which are defined over
discrete attributes, taking a finite number of values. We do not assume that
the model is monotonically increasing with respect to the attributes values.
Our aim is to define an importance index for such general models, considering
that they are equivalent to $k$-ary games (multichoice games). We show that
classical solutions like the Shapley value are not suitable for such models,
essentially because of the efficiency axiom which does not make sense in this
context. We propose an importance index which is a kind of average variation of
the model along the attributes. We give an axiomatic characterization of it.

28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga