Maybe I'm missing something, but I don't see why this prevents or even discourages pool hopping. The reason you would want to leave a proportional pool is because once there are a large number of shares trying to earn the current block, each share you add is expected to be worth less. With this scheme, you still have the same incentive to leave a pool if it has gone a long time without finding a block.
There is no incentive to leave after a long time not finding a block. All results prior to the time window are thrown away, and there is no way of telling if your shares will be in the window or not while mining.
First, by leaving, you have no effect on the value of the shares you have already submitted. They'll either be part of the last N shares or they won't. So you'll still get paid the same for the work already done.
And your new shares are still worth less. This will be a block where >N shares will be submitted in total, while in some blocks
I think you’re missing the point that the each share submitted during the window is worth more than the expected value of a single share in a normal proportional system, even if the window is the full length. Each share in the window is worth more than double (essentially triple) the expected value of a single share otherwise.
So this does nothing to discourage pool hopping. With this scheme, it is still to the miner's advantage to leave a proportional pool and submit to a pay-per-share pool if the proportional pool has gone a long time without solving a block.
No it’s not. The risk you are taking by continuing to submit to the "windowed" pool is that the shares you are submitting are worth much more than shares at a normal proportional or PPS pool, provided that they are inside the window.
Worse, if N is large, it actually encourages pool hopping because there's a good chance that joining the pool right after it finds a block will bring a 'jackput' 50/[
This still needs some proper mathematical calculations, but I’m pretty sure the "jackpot" payout for very short rounds is cancelled out by the fact that any hopper trying to do this will then have all of their shares from the start of the round dropped as soon as a particular round is longer than the window.