Public Good Games
This review article particularly highlights that the
study of the dynamics of group interactions, like several
other important equilibrium and non-equilibrium dynamical
processes in biological, economical and social sciences,
benefits from the synergy between statistical physics,
network science and evolutionary game theory.
J. Roy. Soc.
Interface 10, 20120997 (2013)
We propose the construction of a supra-Laplacian matrix,
which consists of a dimensional lifting of the Laplacian
matrix of each layer of a multiplex network. We
derive the spectra of the multiplex network in terms of
the spectral properties of each layer. The supra-Laplacian
allows us to understand the physics of diffusion-l
processes on top of multiplex networks.
We present a Quantum version of the celebrated Google
algorithm for ranking websites. Working with Quantum
Random Walks we generalize the Page-Rank method to the
quantum domain obtaining an enhanced ranking method.
Sci. Rep. 2,