Relative poverty is insoluble without totalitarian levels of redistribution to a very low common denominator, and that is unlikely to include the inevitable oligarchs. Absolute poverty is rapidly being solved ( https://www.ted.com/talks/hans_rosling_shows_the_best_stats_... ) by markets and globalization, and radical redistribution such as a basic income tends to interfere with that.
You could simply introduce more taxes. For example, one interesting idea is a universal land tax - with more expensive/desirable land being taxed much more - the idea being that there's no fundamental reason why the right to use a piece of land would belong to one citizen and not the other just by the virtue of their birth. So those who want to use scarce land (wealthy people, corporations) would be paying rents to t…
What makes you think most land is owned through birthright? Any stats to back that up? I would assume most land was purchased.
And if you levy a big tax on property, be prepared for the value of that property to drop dramatically. Money flows freely from one asset to another. If land becomes unattractive, those dollars will just go elsewhere.