Much of what has made the prices of housing to rise all the way is relative to the mass relocation of people from the rural to urban cities which has caused over population where many heads chases after limited houses.

We don't find this happening in the rural setting. Why? There no dense population there and housing is cheaper.
What the government can do in  is not only to raise wages, it makes the situation worse with high competitions for high living standard between the citizens which does trigger a more increasing in renting.

The government can decentralise the institutions away from the urban cities to the rural as this will without force compel many citizens to move away from the industrial cities to the rural causing a reduction in the population explosion which has led to housing problems there.