Do multiple ecobee thermostats talk to one another?

I have 2 thermostats in my house. The one on the first floor controls the Heat on the first floor. The one on the second floor controls the Central air-conditioning for the whole house and the heat on the 2nd floor. I would need 2 thermostats that work together to control the 3 zones.

ecobee3 Smart Wi-Fi Thermostat

ecobee3 Smart Wi-Fi Thermostat

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