The introduction of a {0, 1}-valued game associated to a connected graph allows us to
assign to each vertex a value of weighted connectivity according to the different solutions …

The main contribution of this paper consists in providing different ways to value importance
measures for components in a given reliability system or in an electronic circuit. The main …

In this paper I consider the ordinal equivalence of the Shapley and Banzhaf values for TU
cooperative games, ie, cooperative games for which the preorderings on the set of players …

A restricted notion of semivalue as a power index, ie as a value on the lattice of simple
games, is axiomatically introduced by using the symmetry, positivity and dummy player …

Tomiyama [Tomiyama, Y., 1987. Simple game, voting representation and ordinal power
equivalence. International Journal on Policy and Information 11, 67–75] proved that, for …

In a networked control architecture, the semivalues of a coalitional game where the
communication links are the players can be used to provide information regarding their …

We introduce here a family of mixed coalitional values. They extend the binomial semivalues
to games endowed with a coalition structure, satisfy the property of symmetry in the quotient …

Semivalues are shown to exhibit a capability of modification that enables us to introduce
additional information in the evaluation of games. After using a general method to design …

We deal with the problem of how to extend a preference relation over a set X of “objects” to
the set of all subsets of X. This problem has been carried out in the tradition of the literature …

In this paper, we address the problem of how to extend a ranking over single objects to
another ranking over all possible collections of objects, taking into account the fact that …