2 citations · 2 across the 6 of their papers we have counts for
6 papers
On the closest balanced game
Pedro García-Segador, Michel Grabisch, Dylan Laplace Mermoud +1
Cooperative games with nonempty core are called balanced, and the set of balanced games is a polyhedron. Given a game with empty core, we look for the closest balanced game, in the…
On the Set of Balanced Games
Pedro Garcia-Segador, Michel Grabisch, Pedro Miranda
We study the geometric structure of the set of cooperative transferable utility games having a nonempty core, characterized by Bondareva and Shapley as balanced games. We show that…
Exact bounds of the M{ö}bius inverse of monotone set functions
Michel Grabisch, Pedro Miranda
We give the exact upper and lower bounds of the M{ö}bius inverse of monotone and normalized set functions (a.k.a. normalized capacities) on a finite set of n elements. We find that…
On the vertices of the k-addiive core
Michel Grabisch, Pedro Miranda
The core of a game on , which is the set of additive games dominating such that , is a central notion in cooperative game theory, decision making and in c…
p-Symmetric fuzzy measures
Pedro Miranda, Michel Grabisch, Pedro Gil
In this paper we propose a generalization of the concept of symmetric fuzzy measure based in a decomposition of the universal set in what we have called subsets of indifference. So…
Axiomatic structure of k-additive capacities
Pedro Miranda, Michel Grabisch, Pedro Gil
In this paper we deal with the problem of axiomatizing the preference relations modelled through Choquet integral with respect to a -additive capacity, i.e. whose Möbius transfo…