  We provide a new proof of the existence of Gibbs point processes with
infinite range interactions, based on the compactness of entropy levels. Our
main existence theorem holds under two assumptions. The first one is the
standard stability assumption, which means that the energy of any finite
configuration is super-linear with respect to the number of points. The second
assumption is the so-called intensity regularity, which controls the long range
of the interaction via the intensity of the process. This assumption is new and
introduced here since it is well adapted to the entropy approach. As a
corollary of our main result we improve the existence results by Ruelle for
pairwise interactions by relaxing the superstabilty assumption. Note that our
setting is not reduced to pairwise interaction and can contain infinite range
multi-body counterparts.
