I have a simple solution. Let H1Bs enter based on the salary their employee is paying them than anything else. Forget about degree, job description etc. Also this is how the bidding system would work.

1. Let salaries be classified in tiers. 100K 110K 120K etc. These tiers are classified and published only after an year. 2. Let companies bid for every employee based on how valuable the employee is. say a company bids for X at $120K p.a. 2. Sort the bids in descending level. Each company will then have to pay their employee a salary that is at least as much as the lowest salary in that tier.