How does this work with multi-zone systems?

Our home has two zones, each with its own separate thermostats. The basement is one zone and the main floor/bedroom floor is another zone. Further, the top two floors are sub-divided: main floor, master bedroom, and guest bedrooms/hallway; there is a thermostat for each sub-division. The sub-divisions are created with a series of baffles that are activated when the thermostat in each area turns on. So, for example, if the master bedroom thermostat turns on the AC, a lot of air blows from those vents; when another sub-division kicks in, the air flow is reduced.

Would we need an ecobee3 unit to replace each thermostat? Do the ecobee3 units talk to each other?

ecobee3 Smart Wi-Fi Thermostat

ecobee3 Smart Wi-Fi Thermostat

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