It's not that he would do anything drastically differently, it is just that I believe Paul Krugman has more knowledge and is better equipped for the job.
based upon a paper he wrote? That's absurd. Krugman is a professor for a reason.
Real interest rates are too high, short-term nominal rates are as low as they go and Krugman couldn't have done anything different there.
so if he couldn't attack it with rate adjustments, he could have done it with money supply. To VBH's point, Bernanke has done both very aggressively. What more could Krugman have done, besides bemoan that the wealthy are screwing the world.
But to answer your question I believe PK would Either buy long-term assets, driving down the wedge between short and long rates the Joseph Gagnon proposal, which comes out of BB's own work or raise expected inflation. Or could possibly do both.
Buying long term assets in amounts enough to matter would mean enormous additional borrowing, which isn't happening in the real world. And what makes you believe that government held LTA's would dampen the spread between short and long rates. Expectations of inflation are driven by the business world and not by bureaucrats. He borrows a big pile of money to rid the open market of long bonds and he potentially increases short term rates, which hurts your earlier point that rates are too high. I don't get the point here. He only has so many levers. At some point, the private business world and consumers have to make it work. In fact, they are the only thing that has ever made it work, despite all of your classroom commentary to the contrary.
BB is indirectly advising, no direct role though, that is Summer/Geithner. And secondly, Obama wouldn't listen to PK, he has criticized the Obama administration too much.