Why doesn't the government auction H1B visas? If H1B numbers are capped then they are a scarce resource that should be price-rationed so they are allocated to t

Why doesn't the government auction H1B visas? If H1B numbers are capped then they are a scarce resource that should be price-rationed so they are allocated to their most productive use (i.e. to companies that are willing to pay the most). It would also mean more of the gain from bringing over H1B workers would accrue to the public instead of private companies, which would increase public support for immigration.