  The aim of this note is to provide a comprehensive treatment of the homotopy
theory of $\Gamma$-$G$-spaces for $G$ a finite group. We introduce two level
and stable model structures on $\Gamma$-$G$-spaces and exhibit Quillen
adjunctions to $G$-symmetric spectra with respect to a flat level and a stable
flat model structure respectively. Then we give a proof that
$\Gamma$-$G$-spaces model connective equivariant stable homotopy theory along
the lines of the proof in the non-equivariant setting given by Bousfield and
Friedlander. Furthermore, we study the smash product of $\Gamma$-$G$-spaces and
show that the functor from $\Gamma$-$G$-spaces to $G$-symmetric spectra
commutes with the derived smash product. Finally, we show that there is a good
notion of geometric fixed points for $\Gamma$-$G$-spaces.
