The basic state pension should be replaced with a non-means tested alternative, the all-party Economic Affairs Committee said in its report.
The lords said putting less emphasis on means-tested benefits and more on the basic state pension would be simpler.
They also said it would encourage people to save more for their pension, without fear of losing entitlements.
However, BBC economics editor Evan Davies said the lords' proposed system, although simpler and fairer than the current one, "would, it has to be said, also be more expensive".
Which just about sums up the way that all benefits work.