  In a previous article Don Bennett and I looked for,found and proposed a game
in which the Standard Model group S(U(2)XU(3)) gets singled out as the
"winner". Here I propose to extend this "game" to construct a corresponding
game between different potential dimensions for space time. The idea is to
formulate how the same competition as the one between the potential gauge
groups would run out, if restricted to the potential Lorentz or Poincare groups
achievable for different dimensions of space time d. The remarkable point is
that it is the experimental dimension of space time 4 which wins. So the same
function defined over Lie groups seems to single out both the gauge group and
the space time dimension in nature. This seems a rather strange coincidence
unless there is really some similar physics behind.
