A universal model for the Environmental Dilemma Game is established. The model has two features. The first point is that the influence of the environment is treated as an exogenous resource restriction that has own dynamics, which is different from 2-players Chicken game or Tragedy of Commons (JV-players Chicken game). The second point is that the game playing among agents is based on various 2x2 games, not a particular game specifically aiming at a certain environmental problem. A series of simulations reveals that a sustainable strategy allowing behavior-shifting to adjust environmental capability has been evolved in several game structures. However, in most game structures, dangerous strategies always trying to obtain resources has been prevailed. Social locality affects to support emerging a sustainable society in some game structure, but in another game structure it devastates existing sustainable society.
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