Real estate supply isn’t very elastic, and demand already outpaces supply. Your units will likely get rented, as long as you aren’t in the top 0.1% of prices.
Therefore your incentive is to maximize profit per unit since you can’t move more units. Your incentive is to also join in on price fixing, because it’s the only way to make more money.
Supply outpacing demand would cause this to dissolve, as landlords actually have to compete for tenants and the highest priced landlords have empty apartments.