  A notion of incentive for agents is introduced which leads to a very general
notion of an equilibrium for a finite game. Sufficient conditions for the
existence of these equilibria are given. Known existence theorems are shown to
be corollaries to the main theorem of this paper. Furthermore, conditions for
the existence of equilibria in certain symmetric regions for games are also
given.
  From the notion of general equilibrium, a general family of game dynamics are
derived. This family incorporates all canonical examples of game dynamics. A
proof is given for the full generality of this system.
