I have two relatives who just can't stop complaining about the house prices in Beijing. Both of them got laid off in their 40s and stayed at home instead of trying to find another job. They own apartment that was practically given them for free during the 90s, but now everyone is buying bigger and better units they're very bitter.
One of them went to see a new apartment block with some subsidized units for low-income families, and came back blasting the government and property developer for discriminating against the poor. The reason was all subsided units were south-facing and premium north facing units were only available for buyers who pays full market price.
The simple fact about Chinese property market is over 80% of Chinese families own at least one home/apartment. But they're unhappy with high property prices in major cities because either they want bigger and more modern unit like those relatives of mine or they want to move into first or selected second tier cities. Of course those are understandable inspirations, but given China's immense population not everyone can live in a luxury 100+km2 apartment in a major city.
What the government and average Chinese can do is to rethink home ownership. China at the moment has a exceptional high rate of home ownership, and I believe this is a time for change. The government is already doing this by shifting the focus from building and selling cheap housing to provide affordable rental properties. People also should not take home ownership for granted.