Running an economy on feelings is a sure way to ruin an economy. People who buy multiple dwellings would be more than happy to rent them. Renting is good. It provides a liquid market to access housing. If the market is efficient, rent or buy should be a preference rather than a financial decision: The financial impact should be the same.
If people refuse to rent, or sell their property then you have something wrong with your economy (too much regulations, people are afraid of devaluation, etc...). You don't fix a structural problem of an economy by implementing a per-person limit to buy houses.