Actually, it does. The Self-Stirring Pot is “an electric cooking appliance that includes both the actual pot and the heating mechanism,” as demonstrated at http://www.coolthings.com/self-stirring-pot/.
The cool gadget site of http://www.hammacher.com/81243 gives us this description: “This is the electric cooker that automatically stirs ingredients, leaving you free to prepare other parts of the meal. A spatula integrated into the bottom of the pot rotates autonomously as food cooks, mixing ingredients and lifting bits of food that would otherwise stick and burn. The spatula can be set to stir continuously–ideal for stir-frying–or intermittently to ensure a simmering soup’s ingredients are well incorporated. The electric pot adjusts from 200º F to 400º F, allowing cooks to sauté, sear, braise, boil, or simmer, and the tempered glass lid helps retain moisture during cooking.”
Plus, there’s a lifetime guarantee. Love it love it love it.