  We propose two new evolutionary rules that is not mimic evolution of
strategies based on the spatial Prisoner's Dilemma (PD). The former follows the
selfish evolutionary rule and then the coexistence phase appears with weak
phase transition with mutations. The second rule is that of globally coupled
spatial PD where the strategy of an agent is taken so that the total payoff of
the whole system increases. Then it is natulally suspected that all agents will
become cooperators in general. We, however, find that situations is rather
complerx. We find two critical points within the usual conditions in the
parameters included the payoff matrix in the PD. Further as we break the
condition without losing PD condition, we meet two more essential curitical
points. We discuss the areas between these critical points in the parameter
space and uncover the various properties by simulating on computer. We show
that in some parameter regions, strange properties, that is, like chaotic
behaveor appear and the coexistence between defectors and cooperators appears
in the large parameter region. Thus we point out that usual non-essential
condition among the parameters in the payoff matrix imposed on the PD privent
from recovering rich structures in the evolutionally spatial PS.
