  In this work we study linear and non-linear cosmological interactions, which
depend on dark matter and dark energy densities in the framework of General
Relativity. By using the Akaike information criterion (AIC) and the Bayesian
information criterion (BIC) with data from SnIa (Union 2.1 and binned JLA),
H(z), BAO and CMB we compare the interacting models among themselves and
analyze whether more complex interacting models are favored by these criteria.
In this context, we find some suitable interactions that alleviate the
coincidence problem.
