The general consensus is that the Cleveland Browns will ultimately win the bidding war for Robert Griffin III due to the fact that they own two 1st round picks, and therefore can offer more than the Redskins or Dolphins. However, the Browns should be able to win the Griffin sweepstakes without parting with the 22nd pick.
For starters, the Browns also own the 37th pick, two spots higher than the Redskins 2nd-round pick. If the Redskins offer their 1st and 2nd round selections, the Browns can out-bid them simply by matching the offer.
On top of that, the Rams may not be interested in dropping all the way to No. 6. By sliding to No. 4, the Redskins are still guaranteed to get either Matt Kalil or Justin Blackmon – most likely the top two prospects on their draft board. Any GM would be thrilled to land one of their two favorite prospects at No. 4 and pick up an additional second-round pick in the process. So whatever the Redskins offer to sweeten the pot beyond the Browns 1st and 2nd round picks may not be worth it to St. Louis.