  We introduce an irreversible discrete multiplicative process that undergoes
Bose-Einstein condensation as a generic model of competition. New players with
different abilities successively join the game and compete for limited
resources. A player's future gain is proportional to its ability and its
current gain. The theory provides three principles for this type of
competition: competitive exclusion, punctuated equilibria, and a critical
condition for the distribution of the players' abilities necessary for the
dominance and the evolution. We apply this theory to genetics, ecology and
economy.
