Explain your reasoning. No GPI is given to people above the cutoff. Thus minimizing cost while closing the inequality gap.
Earn 0: get 12k GPI Earn 10k: get 4k GPI Earn 20k: get 2k GPI Earn 30k: get 0 GPI
(for the example of a 24k cut-off bound)
Earn 0: get 12k GPI Earn 10k: get 4k GPI Earn 20k: get 2k GPI Earn 30k: get 0 GPI
(for the example of a 24k cut-off bound)
Mathematically, a $10k Progressive Guaranteed Income like you describe plus a 50% tax on income over $20k is exactly the same as a $10k UBI plus a 50% flat tax.
The equation is pretty straightforward and there is a pretty graph here. https://pbs.twimg.com/media/EQTCmq0UwAAM7Ku?format=png
Choose a Climb-Out Bound and adjust the amounts accordingly.