Sure, and I conceded that in my initial post. What I'm looking for is published work that indicates that changes in consumer prices equals the increase in income due to unrestricted cash grants/UBI.
I've looked, but all I see is conjecture. Nothing academic. The academic articles I do find tend to assert the opposite - that any changes in consumer prices are smaller than increases in income, granting the recipient more buying power.
they won't be equal because not all ubi income will be spent on consumption. it will stimulate consumption, however, which was the primary reasoning behind the op and that will lead to some form of inflation edit: inflation because based on the assumptions of the op, the supply side has stagnated and so there is less downward pressure on aggregate prices. the degree of that inflation is unclear and i'm not familiar with any empirical studies. either way inflation won't match one to one with the increase in income.
fwiw i noticed above you mentioned that there will be an increase in productivity, wellness etc. although i tend to agree with the wellness aspect (esp. compared to our current circumstances) the degree to which wellness would increase is also unclear. for some colinear studies, i'm thinking of finkelstein's work on medicaid expansion in oregon where they found exposure to medicaid increased reported well being of recipients.
and i don't think productivity increases under a ubi holds water on theoretical grounds.
you seem to be assuming large increases in productivity and wellness and other benefits and then asking if inflation will erode that, when we also need to consider that the possible benefits will themselves be attenuated, particularly for those already at lower incomes or those who will earn a ubi.
Housing is supply and demand. More demand for housing without an increase in supply will increase cost. That said, a guaranteed income may allow many people to safely choose to move out of an area that was hard to accomplish previously. If you're living paycheck to paycheck, how do you move far enough away from a high-cost area to actually reduce your housing cost while still allowing you to reach your job, since you can't quit it and still afford to pay rent? All you can usually do is trade commute time for rent cost, and then you pay in time and vehicle wear and gas.
UBI would allow an unprecedented level of freedom for people to relocate with little risk, and that would itself have a massive influence on city make-up and the housing market. If a lot of the unskilled labor in the bay area actually chose to move somewhere else, wages for those people would either have to increase greatly to meet demand, or the area would finally have to allow much more cheap housing.
I imagine other shifts like that would play out large in small in almost all aspects of the economy. UBI entirely changes everything.
