How would the government reduce house prices? Easy:
1) Massively build out social housing
2) Stop tax incentives, part ownership and other house buying incentives
3) Tax empty houses like in Switzerland, Germany etc etc
4) Crackdown on use of house purchases for money laundering by Saudi princes,
Russian oligarchs, corrupt Chinese Communist Party officials,
South American drug cartel bosses etc etc
The sub-replacement birthrate is a reason Britain sucks in immigrants like a vacuum cleaner. The English don't make babies, and when they do, they murder them in the womb. The immigration is the only thing stopping Britain turning into one big ghost town.