Kuya,
I get what the architect is wanting, and why. However, what he is asking is not smart, is more difficult to do than he thinks; individual systems are the better option.
To be able to apply a diversity factor you need to ensure one or more hoods are "off". To do this you need dampers and as CD mentioned, dampers are not permitted in ductwork per code. Therefore your fan(s) have to be sized to exhaust all hoods simultaneously.
If you haven't already read through your governing code, if that is ICC Int'l Mechanical Code, Section 506 and 507 are what you need to get familiar with.
Code issues aside, how are you going to size a single fan for 10 kitchen hoods? Consider the hood exhaust requirements for Taco Bell versus KFC versus McDonald's versus Panda Express. NONE of these retailers use the all the same equipment for cooking which means each retailer has different hood exhaust requirements. Even if you know who the first 10 retailers are, they can change in 5 or 10 years completely invalidating your design and would require the exhaust for all 10 retailers be reviewed and modified. This means a new fan and ductwork; during future renovations none of the retailers are going to be able to fix food. Ask yourself and the architect what those retailers or food court manager will think of that. (It won't go over well.)
Thinking back on my own experiences with food court retailer renovations, the retailers will want to bring in their own hoods, fans, etc. so they have the exhaust that meets their needs. If this central system is part of the "shell design", my recommendations is to remove it from the scope of work.
CDxx139 has a valid point about being able to individually meter each retailer's power usage including running hood fans.
As you read through the responses here I hope you get the sense that what the architect is asking for is not going to work. It is your job as the engineer to convince him of this. I understand the architect want to minimize the number of roof penetrations, they tend to leak. If you need another option, going out an exterior wall with a sidewall grease fan.
Bill