While I don't think it will ever see the support that bitcoin enjoys (or even litecoin for that matter) the model you are describing is provided by another alt

While I don't think it will ever see the support that bitcoin enjoys (or even litecoin for that matter) the model you are describing is provided by another alt coin call PPCoin (http://www.ppcoin.org/static/ppcoin-paper.pdf http://www.ppcoin.org/static/ppcoin-paper.pdf).