Which some markets are doing.
In Chicago you can opt into a program where you pay real-time pricing for electricity. This price can swing from 0.0c/kWh during overnight summer hours when peaker plants need someone to burn off wattage, and I've seen it go over $1.00/kWh during heat waves or when the south is having a freezing snap and everyone is running their heat pumps down there. Standard users pay about 7.5c/kWh.
While the Nest doesn't connect to this pricing, ComEd also offers an optional breaker box (connected via cellular radio) to cycle power to your A/C compressor for short periods of time when the price exceeds a certain level (i.e peak summer demand). So this kind of automatic control exists without needing the Nest infrastructure in place.
In the meantime, I've saved about 15% off my standard bill with a little bit of diligent dumb-thermostat programming. I'm planning a more intelligent system of my own that can watch pricing, house occupancy, and weather forecasts to try and beat that statistic.