Economies are not static. This will cause shortages, which drive up prices. There will be inevitable, and endless, arguments as to how much basic income is enough.
The value will slowly, inevitably be ratcheted up, and country-wide economic failure will occur in one of three ways:
1. Basic income increases exceed the government's ability to pay. Borrowing ensues, followed by printing money. Imported goods become scarce. Rate of increase speeds up, or system is dismantled. If rate of increase speeds up, economic collapse, hyperinflation. See Venezuela.
2. Basic income does not exceed government's ability to pay, but value continues to increase. The opportunity cost of work continues to increase, and work force participation drops. Drop in workforce participation cause demand to drop in the market, driving deflation, as newly funemployed people accept their safe, but poorer and easier lifestyle. Deflation further increases the opportunity cost of working. Positive feedback loop; government is restricted to either printing money (pump priming) or cutting basic income (riots! Fury!). Pump priming causes stagflation; this is the best case scenario. Deflationary cycle drives collapse of business, great depression 2.
3. Basic income causes massive immigration spike, especially in countries with land borders. Unplanned increases in basic income budget drive #1 in both directions; a) massive increases in gross budget, and b) shortages in goods as production struggles to keep up.
The common answer to these arguments is, "But we will be in the singularity! Supply will be unlimited for all goods! Labor is irrelevant to productivity!"
Forgetting how ridiculous that sounds on face, consider the economic consequences. If the food, or energy supply is truly unlimited, or nearly so, then they can be made virtually free (see gas subsidies in GCC countries dropping the rates to $0.05/ liter). When the essentials are available in unlimited supply, there isn't a need for a basic income. A few hours of work a month, or charity, or family will be sufficient to purchase all you need.
So, in any scenario, singularity or no, immigration or no, deflation or inflation, a basic income is doomed to failure.
Really, a basic income is just a reboot of socialism (academic socialism, not welfare capitalism) in clothing of modern economics, with the spin that upcoming productivity enhancements shall make "to each according to his need" work now, this time, finally.