You can't arbitrarily set rent prices. You can only ask what people are also willing to pay.
People are willing to pay because they have high paying jobs and want to live near to where they work. And that is ultimately also a good thing.
Think about a brain surgeon, who under socialism would have to commute for two hours to his jobs, and under evil capitalism can live 20 minutes from the hospital. Under capitalism he will get to the job well rested and therefore have a higher success rate for his operations.
People are willing to pay because they have high paying jobs and want to live near to where they work. And that is ultimately also a good thing.
Think about a brain surgeon, who under socialism would have to commute for two hours to his jobs, and under evil capitalism can live 20 minutes from the hospital. Under capitalism he will get to the job well rested and therefore have a higher success rate for his operations.