Yes, it should be stable, because when enough people go voluntarily out of work, the pie gets smaller and so get the 10%.
There's an interesting suggestion by some landreformers of the late 19th / early 20th century. They say that the rent from land comes ultimately from the population density, so all land should be owned by community, but leased out to the highest bidder. The proceeds would be distributed equally to all. (Alternatively you can just have a high tax on real estate, that gets redistributed. Make it say, 10% of the value of the land anually. Owners get to announce the value of their land themself, but will have to sell their land at this value to any party, to avoid them setting too low a price. Of course the value of the land will be changed by the tax.)
There's an interesting suggestion by some landreformers of the late 19th / early 20th century. They say that the rent from land comes ultimately from the population density, so all land should be owned by community, but leased out to the highest bidder. The proceeds would be distributed equally to all. (Alternatively you can just have a high tax on real estate, that gets redistributed. Make it say, 10% of the value of the land anually. Owners get to announce the value of their land themself, but will have to sell their land at this value to any party, to avoid them setting too low a price. Of course the value of the land will be changed by the tax.)