I was watching the Bitcoin show and Yifu Guo mentioned having a 3 year window for bitcoins to be immobile, and then they go back into the mining pool, so that they can be recovered. This seems like a good idea with one caveat. That makes it less desirable to hold onto as long term investments, e.g. bitbills. So I'm thinking about a way around that.
I'd suggest a 10-20 year window, because it's not all that crucial that they come back into circulation, it's only for a time when most bitcoins are completely lost that there are perhaps only 1 million in circulation because 20 million of them have been lost. So I think after that amount of time we should allow those coins to be mined again.
However, I think it's important to allow those who do have a legit claim on old "lost" coins, to be able to access coins if they have the key. So I suggest there be a pool of lost coins that all coins older than the window go into. Claiming coins will be given priority, so if you have a "lost" key, you get the coins from that pool. As other coins are lost that pool will be continually fed, and with a 10 year window it will be increasingly unlikely that that pool will be depleted. The pool will be continuously mined normally at some equilibrium rate with the Loss rate and the Reclaiming rate.
Let me know what you think.