Sure, you can, but pricing laws won't change the fact that there is more demand than supply. If anything, it will make things worse.
There has to be some selection. With free market, the selection is about how much you can or are willing to pay. Cap the rents and other criteria will be used. In many cases, more or less legal froms of bribery will make up for the gap in value.
Another common thing that happens when rents are capped is that landlords are going to make sure that they are only renting to the rich, because the rich are less likely to default. How are they going to know that you are rich? Obvious ones are to look at your bank account (privacy?), but unfair criteria like race can also be used.
You can also become communist, have the state take all housing and redistribute them "fairly". I think it is an area where communism actually works, but it probably won't be well received in the US...
There has to be some selection. With free market, the selection is about how much you can or are willing to pay. Cap the rents and other criteria will be used. In many cases, more or less legal froms of bribery will make up for the gap in value.
Another common thing that happens when rents are capped is that landlords are going to make sure that they are only renting to the rich, because the rich are less likely to default. How are they going to know that you are rich? Obvious ones are to look at your bank account (privacy?), but unfair criteria like race can also be used.
You can also become communist, have the state take all housing and redistribute them "fairly". I think it is an area where communism actually works, but it probably won't be well received in the US...