  This paper introduced the classical prisoner dilemma with the character and
structure of quantum prisoner dilemma's strategy space. Associate with the
Dirac spinor field, apply the basic quantum game strategy to the translation of
the dynamics of Dirac equation. Decompose the real space and time to lattice we
found that the basic interaction of spinor could be translated into quantum
game theory. At the same time, we gained the new dynamics of quantized spacial
evolutionary game.
