Let's also consider that when you chase your dog, the dog thinks it's a game and will run away from you. Like... "you can't catch me!" Man, Basenji's can bolt! On the other hand, when you are the one running away, the dog instinctively joins you because you are part of the dog's family/pack. This is not to be confused with a learned command to chase an assailant, in Police work, for example. That would be a totally different game of chase.
Communication
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There have sometimes been posts about how much language dogs understand. This article is quite interesting on the subject.
