Could be done fairly easily via the tax system. Each additional property you own increases the income tax on any rent and the capital gains tax when selling it. Bump up council tax for empty properties massively too and the market should correct itself with minimal direct intervention.
Set it up so having a second home means paying more for it, having 3 or 4 or 10 means it's not profitable to keep it at all.
For those of you getting riled up to point out how this wouldn't work in rural Nebraska - yeah no shit!
This video is taking about how it can be very beneficial for urban areas to use electric cargo bikes rather than vans, and how it helps everyone to remove the amount of vehicles in inner cities by providing safer ways for bikes to move around (and better for emissions too!). The parcel services in my city all have hubs where lorry's drop off pallets, and then bike porters to take the parcels for the final mile. It works great.
Everytime there's a video about the benefits of bike infrastructure or public transport the online discourse gets filled with pointless bad faith drivel about how public transport or bike lanes don't work in an area with a population density of 0.000001/km^2. No one is claiming that's the case, and no one benefits from you pointing that out. Get a grip.
Why is this even patentable? Games already have this, and quick resume on the Xbox does a very similar thing. It's not unique enough innovation in my mind to be able to do it at multiple points in time IMO.