Yes and no.
Money shouldn't be GIVEN, whether its to the rich or to the poor. Money should be earned, by the rich and by the poor. Very few people actually require welfare and other government programs, the disabled (physically or mentally), and the elderly (who most likely have earned their pensions and health benefits by slaving away for 40+ years). These welfare queens who are just lazy and keep popping babies have no case for financial assistance.
On the other hand you can't just GIVE money to the rich, that's like pouring water into the ocean. Yes, some will go to infrastructure, salaries, etc... but some will also go to offshore accounts to avoid taxes. If I were super rich and had money being thrown at me, I'd do the same... Because with the money I already have I have probably made plans at least a year in advance regarding salaries and infrastructure. The money coming in outside of my own earnings is just a bonus at that point.
when we say 'given' in this case it's a hypothetical, but it can come in whatever form you want, for example:
- tax refund
- lowered tax rates
- mortgage forgiveness
- credit card debt relief
- student loan elimination
- raising the minimum wage (big one here)
etc etc.
what happens with the wealthy, for whom budget isn't an issue, that extra cash flow does nothing beyond go into savings. it's even more true of the 1% of the 1%, the guys at a point where the estate tax actually meant something, because very few of them are living in any fashion where they really are limited by liquid funds. these people have giant bank accounts and other holdings and any extra cash they get is going to go there.
take that in contrast with anyone who is in a "living paycheck to paycheck" position, or even someone with just a small nest egg. if you earn $50k a year and someone just snips away your mortgage payments, that money is actually going to go INTO things. you'll probably buy a new car, get a new phone, or just take a vacation. bump the minimum wage by a dollar an hour and that person is going to start buying food with actual names on the package. that extra money is going to be used. you can see this when what currently passes for the "middle" wins some money off a scratch lottery ticket.
hell you can even scale this if it helps. i know there are a bunch of getbiggers with six figure incomes, myself (barely) included. if you hand me a $100 bill, that's gonna end up in my pocket until i happen to find some situation where i need to pay with cash. hand that same bill to a kid working at starbucks and he's gonna spend it that day. it's just an ass-simple rule of economics that the lower down the ladder you get the greater percentage of their income they actually put back into the economy.
people like to claim that it's the "politics of envy" or that people who talk like this are "jealous" of people who earn more, but they tend to fall into two categories: either greedy shits who treat their bank accounts like a video game high score, and less-affluent people who have been hoodwinked into believing that if the greedy shits are just handed more money then they themselves might get a piece of it someday. the former are dishonest, the latter are deluded.
you want to boost the economy up? do what every intelligent society in the world does: inject some cash into it via the lower class. the upper class already has no problem spending their money on whatever they want. get it moving by enabling the people who CAN'T do that.
look, i'm a single man living alone with no children. my tax burden is literally as high as it gets for a person. after i did all my deductions this past year i had to cut a check to the guv'mint that wasn't a whole lot less than i used to earn a few years ago. but tough shit, that's what happens when you pop up into the higher earnings brackets, and even after all that i still had no problem with some nice purchases (nothing enormous, just a bunch of tech toys I wanted).
if your income is such that buying a new car is more a question of "which luxury packages do i want" than "how many medical experiments would i have to sign up for to afford this" then you really need to step back a second and re-evaluate exactly where you are in life and what money means to you.