  Using light-cone gauge formulation, massive arbitrary spin irreducible fields
and massless (scalar and one-half spin) fields in three-dimensional flat space
are considered. Both the integer spin and half-integer spin fields are studied.
For such fields, we provide classification for cubic interactions and obtain
explicit expressions for all cubic interaction vertices. We study two forms of
the cubic interaction vertices which we refer to as first-derivative form and
higher-derivative form. All cubic interaction vertices are built by using the
first-derivative form.
