My Guess would be Monopoly, the real-estate business game.
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Jeff Kinney made a board\ video game called dog days
no
Sims i think there is a dog game on sims which one i dont know
no not yet
Okami is a game for wii and PS2 where you are a wolf. Which is kinda like a dog. i think in the zooanimals kinect game for xbox360 you can be a dog. or something like it. or you can look at idevice apps