That sounds like a dark pool for the rental market.
These algorithmic pricing systems extend that information advantage by pooling information across landlords (maybe not illegal by itself) and leveraging their position as market-wide price-setter to push rents higher, with the promise that so many units are following their recommendations that renters have ~no alternative (very illegal price fixing)
I could think of several advantageous moves like artificially inflating rents then favoring a well paying client by keeping their rents lower than the market. Investing in property spread out across shell companies and then have the algo favor them in a non-intuitive way.
[1] if they're both participating in the pool, clearly an institution seeing pricing signal from an alternative trading system (even if it's only their own cleared trades) has more information than someone observing only public market transactions.