A kinetic equation for a homogeneous electron gas is derived to all orders in the plasma parameter &lgr; (the reciprocal number of electrons per Debye sphere). It has the form∂&phgr;1∂t=n=1∞ (e2)n(R¯(n)+&bgr;¯n−R¯n(n)),whereR¯(n)is a Fokker‐Planck type collision integral which rigorously describes distant collisions between (n+1) electrons and diverges logarithmically at small impact parameter; &bgr;¯nis a Boltzmann‐like collision integral for close collisions between (n+1) electrons and diverges at large impact parameter; andR¯n(n)accounts for intermediate collisions between (n+1) electrons and diverges at both large and small impact parameter. Whether or not the various divergent parts of (R¯(n)+ &bgr;¯n−R¯n(n)) exactly cancel each other out has not yet been proven for alln. The infinite sum, however, is a direct consequence of Liouville's equation and is exact at allt. The first term (R¯(1)+ &bgr;¯1−R¯1(1)) has been proven convergent elsewhere. The second‐order term (R¯(2)+ &bgr;¯2−R¯2(2)), which corresponds to ternary correlations (ternary collisions), is examined in detail and found to have its order of magnitude given byO(&lgr;2log &lgr;) +O(&lgr;2).