  Although both systems analyzed are described through two theories apparently
different (quantum mechanics and game theory) it is shown that both are
analogous and thus exactly equivalents. The quantum analogue of the replicator
dynamics is the von Neumann equation. Quantum mechanics could be used to
explain more correctly biological and economical processes. It could even
encloses theories like games and evolutionary dynamics. We can take some
concepts and definitions from quantum mechanics and physics for the best
understanding of the behavior of economics and biology. Also, we could maybe
understand nature like a game in where its players compete for a common welfare
and the equilibrium of the system that they are members. All the members of our
system will play a game in which its maximum payoff is the equilibrium of the
system. They act as a whole besides individuals like they obey a rule in where
they prefer to work for the welfare of the collective besides the individual
welfare. A system where its members are in Nash Equilibrium (or ESS) is exactly
equivalent to a system in a maximum entropy state. A system is stable only if
it maximizes the welfare of the collective above the welfare of the individual.
If it is maximized the welfare of the individual above the welfare of the
collective the system gets unstable an eventually collapses. The results of
this work shows that the "globalization" process has a behavior exactly
equivalent to a system that is tending to a maximum entropy state and predicts
the apparition of big common markets and strong common currencies that will
find its "equilibrium" by decreasing its number until they get a state
characterized by only one common currency and only one common market around the
world.
