How is this done? 
I know that every game I play against the AI, either on Emperor or Deity, one AI civ will want to take a bite out of me, and declare war. Next thing I know, 20 turns later, that civ has bought out 2 other civs. 20 turns after that, peace is made after I've thomped the original civ. But now, the two other civs have bought out 2 more each, so I end up at war with the entire world before everything is said and done. The AI is so far away from me it never really matters, so I always end up defeating everyone else, but it's really a pain to deal with every game.
How do other people go about preventing this from happening?

I know that every game I play against the AI, either on Emperor or Deity, one AI civ will want to take a bite out of me, and declare war. Next thing I know, 20 turns later, that civ has bought out 2 other civs. 20 turns after that, peace is made after I've thomped the original civ. But now, the two other civs have bought out 2 more each, so I end up at war with the entire world before everything is said and done. The AI is so far away from me it never really matters, so I always end up defeating everyone else, but it's really a pain to deal with every game.
How do other people go about preventing this from happening?
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