Capacities and Choquet Averages of Ultrafilters

Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni +1

We show that a normalized capacity $\nu :\mathcal{P}(\mathbf{N})\to \mathbf{R}$ is invariant with respect to an ideal $\mathcal{I}$ on $\mathbf{N}$ if and only if it can be represent…