[HN Gopher] When random people give money to random other people...
       ___________________________________________________________________
        
       When random people give money to random other people (2017)
        
       Author : munificent
       Score  : 64 points
       Date   : 2025-06-13 16:49 UTC (6 hours ago)
        
 (HTM) web link (quomodocumque.wordpress.com)
 (TXT) w3m dump (quomodocumque.wordpress.com)
        
       | munificent wrote:
       | There's a nice interactive simulation here:
       | https://joshworth.com/jpw/does-this-simulation-explain-why-l...
       | 
       | And a blog post here: https://www.decisionsciencenews.com/?p=6221
        
       | gnabgib wrote:
       | Discussion (555 points, 2017, 241 comments)
       | https://news.ycombinator.com/item?id=14729400
        
         | probably_wrong wrote:
         | I remember that discussion because of the comment [1] pointing
         | out that the rich people don't stay rich forever - the
         | distribution may be skewed but that doesn't mean that the
         | richer get richer.
         | 
         | [1] https://news.ycombinator.com/item?id=14729930
        
           | autobodie wrote:
           | Nonsense. There is a big difference between the implications
           | of the following claims:
           | 
           | 1. The _specific_ people that are _currently_ rich will
           | become richer.
           | 
           | 2. The people that are rich at any given instant in the
           | future will be richer than the people that are rich at the
           | current instant.
           | 
           | "The rich are getting richer" almost always means #2, but it
           | depends on the context. #1 may be more interesting to
           | individuals competing for wealth, or for an assessment of
           | individual mobility, but #2 is much more relevant when
           | describing the aggregate conditions of a society. For
           | example, the Gini Coefficient depends on #2, not #1.
           | 
           | I don't think it's a stretch to say it's dishonest to presume
           | the first meaning.
        
             | majormajor wrote:
             | > Nonsense. There is a big difference between the
             | implications of the following claims:
             | 
             | > 1. The specific people that are currently rich will
             | become richer.
             | 
             | > 2. The people that are rich at any given instant in the
             | future will be richer than the people that are rich at the
             | current instant.
             | 
             | > "The rich are getting richer" almost always means #2, but
             | it depends on the context. #1 may be more interesting to
             | individuals competing for wealth, or for an assessment of
             | individual mobility, but #2 is much more relevant when
             | describing the aggregate conditions of a society. For
             | example, the Gini Coefficient depends on #2, not #1.
             | 
             | > I don't think it's a stretch to say it's dishonest to
             | presume the first meaning.
             | 
             | When I see people say "the rich are getting richer" - say,
             | about tax cuts for high-income earners or businesses - it's
             | always been definition 1. In the case of tax cuts, the
             | action is expected to make the specific current rich people
             | get richer. Or, when used as a more general idiom about the
             | way of the world, that _having money_ gives you a huge
             | advantage in terms of making more money that means the gap
             | is likely to widen over time.
             | 
             | Some other places interpreting the idiom that way:
             | 
             | https://www.phrases.org.uk/meanings/the-rich-get-richer-
             | and-... "the inevitability of the literal truth that, the
             | richer you are the more relatively rich you become and, for
             | the poor, vice-versa"
             | 
             | https://en.wikipedia.org/wiki/The_rich_get_richer_and_the_p
             | o... "Shelley remarked that the promoters of utility had
             | exemplified the saying, "To him that hath, more shall be
             | given; and from him that hath not, the little that he hath
             | shall be taken away. The rich have become richer, and the
             | poor have become poorer; and the vessel of the State is
             | driven between the Scylla and Charybdis of anarchy and
             | despotism."[1] It describes a positive feedback loop (a
             | corresponding negative feedback loop would be e.g.
             | progressive tax)."
             | 
             | So it's hardly dishonest to assume the first meaning. Where
             | are examples in common discourse of it frequently meaning
             | the latter?
        
           | cantaloupe wrote:
           | Only if no interest is accrued on assets. When interest is
           | introduced, there is no longer shuffling.
        
       | dgan wrote:
       | okey but the burning question now is: how much more fair it
       | becomes when the richer participants give specifically to poorest
       | participants, instead of random one?
        
         | munificent wrote:
         | The system is fair. While the distribution is non-uniform, over
         | a long enough time span, all participants will appear at every
         | place in the distribution.
        
         | msgodel wrote:
         | What incentive is there to work to become rich if you have to
         | give it away anyway?
        
           | Jimpulse wrote:
           | Initially, security. Then maybe a realization that you don't
           | need all of your wealth to be secure.
        
             | msgodel wrote:
             | How does it provide security if you're giving it away? Why
             | do you need it if not working for it means you're more
             | likely to get it for free?
        
             | parliament32 wrote:
             | > maybe a realization that you don't need all of your
             | wealth to be secure
             | 
             | Then why wouldn't I just stop working? Why bother working
             | at all if I'm guaranteed to be subsidized by other people?
        
               | input_sh wrote:
               | To give your life a purpose? To do something meaningful
               | and fulfilling? To build something cool? To be able to
               | afford additional, cooler things? To work on a common
               | mission with likeminded people? To contribute something
               | back to the system? To experience how things work in the
               | background? To have a sense of ownership over your
               | productive output?
               | 
               | And if you wanna express yourself creatively or just do
               | nothing for a while, that's fine by me too! I'm sure
               | you'd get bored after a while and want to make yourself
               | useful again, so I don't think you should starve in the
               | meantime.
        
               | msgodel wrote:
               | Oh yeah I forgot that's why I deal with insane corporate
               | administrative bullshit to write bad software that solves
               | problems only generated because of the scale of the
               | internal social interactions: because it gives my life
               | meaning.
               | 
               | You have hobbies and personal relationships to give your
               | life meaning, you pay to be allowed to do that not the
               | other way around.
        
               | darkwater wrote:
               | > You have hobbies and personal relationships to give
               | your life meaning, you pay to be allowed to do that not
               | the other way around.
               | 
               | And why don't you want to turn that around?
        
               | ncruces wrote:
               | I'm sure people who, idk, have to clean up office
               | toilets, do it because it's meaningful and fulfilling.
        
           | Spivak wrote:
           | A little bit of inequality is good as an incentive as you
           | describe. A large amount of inequality devolves an economy
           | into being pseudo-centrally-planned as nearly all the wealth
           | is allocated by a small group of super wealthy individuals.
           | 
           | You want the incentive to get rich and then have that
           | incentive fall off as you acquire more wealth.
        
             | msgodel wrote:
             | We already have a pretty steeply progressive income tax.
             | Part of the problem with schemes like this is that the
             | wealthy have the resources to dodge them so it mostly just
             | creates problems for the productive middle class.
        
           | dfxm12 wrote:
           | You can become rich enough that you can afford to give away a
           | dollar to someone every second and still be rich. For some
           | perspective, this full amount is about 33% of annual income
           | of $100mm. The richest people make well more than this.
           | 
           | Consider, even without such a system, more people than you
           | realize have enough to live on (and pass on for generations),
           | but still work. A lot of rich people also didn't work for
           | their wealth. People have worked their whole lives and not
           | become rich. I'm not sure there's a connection.
        
             | Nifty3929 wrote:
             | Unfortunately, money is not stuff. Taking money from rich
             | people and giving it to poor people doesn't create any
             | additional stuff for those poor people to consume.
        
               | bongodongobob wrote:
               | Rich people generally don't make a goddamn thing.
        
           | scotty79 wrote:
           | What incentive is there to work if you are going to die
           | anyway?
           | 
           | The incentive is that you could potentially enjoy something
           | briefly and that's the best deal you can get.
        
             | mhuffman wrote:
             | >The incentive is that you could potentially enjoy
             | something briefly and that's the best deal you can get.
             | 
             | Many people might say that is a lower incentive than to
             | being able to leave your family better off than they were,
             | or in your more greedy interpretation, so that their
             | children and their children can enjoy something less
             | briefly than you were able to.
        
               | scotty79 wrote:
               | Many more people are single and don't plan on having a
               | family. And for those who have .. tax is always lower
               | than 100%. You won't leave your family worse off by
               | earning more money, regardless of the specific level of
               | the tax.
        
           | the_cat_kittles wrote:
           | what incentive is there for you to post this comment if it
           | isnt going to make you rich?
        
           | dakr wrote:
           | This argument reminds me of theists asking, "without a god,
           | what is there to keep you from being amoral and running
           | around killing people?"
           | 
           | Humans are capable of and do, in fact, act on more than just
           | one or two simplistic external levers. We have agency,
           | understanding, and drive to have empathy and to create.
        
             | msgodel wrote:
             | Right but the natural state of humanity without real social
             | norms and meta norms is to just form small, violent,
             | relatively unproductive tribes. Civilization doesn't scale
             | without rules.
        
               | kqr wrote:
               | Of whose natural humanity? Areyou naturally violent and
               | unproductive without coercion? I'm not.
        
               | msgodel wrote:
               | I build things, just not things anyone else wants. Other
               | people absolutely do seem to have violent tendencies
               | without coercion.
               | 
               | People don't naturally collaborate the way you see them
               | in the developed world no.
        
           | Nifty3929 wrote:
           | I think there is a bit stronger version of your argument: The
           | wealth that I have is intrinsically tied to me personally:
           | It's a business that I'm running, an idea I'm pursuing, etc.
           | Taking it away from me destroys it.
           | 
           | The discrepancy comes from confusing money with wealth. You
           | can take my $100 and then you will have $100. But if you take
           | my business away from me, you will end up with very little.
           | And so will everybody else that was benefitting from the
           | business that I was running.
        
           | myflash13 wrote:
           | What incentive is there to work to create wealth if an
           | interest-based system is rigged towards the already-wealthy?
        
         | dfxm12 wrote:
         | Everyone starts with the same money in this thought experiment.
         | How do you define richer and poorer with that in mind?
        
         | cantaloupe wrote:
         | This more detailed simulation shows the impact of UBI,
         | interest, etc. Unsurprisingly it is much more balanced with UBI
         | and even more extremely skewed with interest accruing.
         | https://joshworth.com/jpw/does-this-simulation-explain-why-l...
        
       | pfortuny wrote:
       | Essentially similar to "after N throws of a coin, what will the
       | difference be between heads and tails?". It will most likely be
       | away from 0, and probably large.
        
         | thaumasiotes wrote:
         | Isn't the expectation sqrt(N)?
         | 
         | (The expectation of |H - T|, that is; the expectation of (H -
         | T) is 0.)
        
           | pfortuny wrote:
           | I think it is so (I seem to recall it and the example from
           | Feller's book).
        
             | madcaptenor wrote:
             | It's definitely on the order of sqrt(N). But it's a bit
             | smaller than sqrt(N) typically:
             | 
             | (1) H is asymptotically normally distributed with mean N/2
             | and variance N/4 (central limit theorem)
             | 
             | (2) So H - T = H - (N - H) = 2H - N is ~normally
             | distributed with mean 0 and variance N, or st.dev. sigma =
             | sqrt(N)
             | 
             | (3) So |H-T| is "half-normal"
             | (https://en.wikipedia.org/wiki/Half-normal_distribution).
             | This has mean sigma * sqrt(2/pi) or approximately 0.8
             | sqrt(N).
             | 
             | This can be checked with a quick simulation. For example in
             | R I run 1000 simulations with N = 10000 with the one-liner
             | mean(abs(2*rbinom(1000, 10000, 0.5)-10000))
             | 
             | which returns 79.944.
             | 
             | The mean square of H-T will be approximately N, though
             | (basically we can ignore the absolute value when computing
             | the variance).
             | 
             | In fact, it's exactly N. H is Binomial(N, 1/2) which has
             | variance N/4. H - T = 2H - N has variance N/4 * 2^2 = N,
             | and mean 0, so its mean square is N.
        
         | majormajor wrote:
         | If you keep flipping a coin you get heads or tails every time.
         | There's no streak-breaking limit where you stop counting
         | consecutive heads after some point. But here a streak can run
         | into a loss-limiting wall "for this turn, you have $0, so you
         | can't give any more away." That boundary - unless you allow
         | infinite negative balances - breaks the first-glance intuition.
         | As people hit 0, the amount of dollars that are redistributed
         | on the next turn goes down. So the richest will still be losing
         | their dollar a turn, but are less likely to gain a dollar.
         | Which will have the most significant effect on people nearly-
         | broke, since they will still lose, but gain less frequently.
        
       | wordglyph wrote:
       | Introduce credit so the people with zero can still give. Then I
       | suspect it would be more even.
        
       | k__ wrote:
       | _" inequality of wealth rapidly appears and then persists (though
       | each individual person bobs up and down from rich to poor."_
       | 
       | Does still sound fair to me.
        
         | cantaloupe wrote:
         | This is only when no other effects/processes are accounted for.
         | If every participant keeps their current funds in an account
         | with the same interest rate, then the distribution permanently
         | skews so that there is no longer bobbing. The rich stay rich.
         | See this more detailed simulation linked in another comment:
         | https://joshworth.com/jpw/does-this-simulation-explain-why-l...
        
         | munificent wrote:
         | The paper this is based on [1] does a good job of spelling out:
         | 
         |  _The instantaneous distribution of money among the agents of a
         | system should not be confused with the distribution of wealth.
         | The latter also includes material wealth, which is not
         | conserved, and thus may have a different (e.g. power-law)
         | distribution._
         | 
         | The simulation might be a good model of how _money_
         | distribution works, but it doesn 't reflect how _wealth_
         | distribution works. The simulation only works because money can
         | neither be created nor distroyed (in the simulation, at least).
         | Wealth can be so we shouldn 't expect the simulation to predict
         | its behavior.
         | 
         | [1]:
         | https://physics.umd.edu/~yakovenk/papers/EPJB-17-723-2000.pd...
        
       | thaumasiotes wrote:
       | Two thoughts:
       | 
       | - I don't see why it's important to this person that N people
       | start with a total of N^2 dollars. It would seem more natural to
       | have N people and M dollars.
       | 
       | - The piece says this:
       | 
       | > in the long run every possible state is equally likely; we are
       | just as likely to see $9,901 in one person's hands and everybody
       | else with $1 as we are to see exact equidistribution again.
       | 
       | As stated, this is quite wrong. We're 100 times more likely to
       | see $9,901 in one person's hands and everybody else with $1 than
       | we are to see everybody with $100, because there are 100
       | different people who might have $9,901 to satisfy that
       | description of the state. It isn't really clear whether the
       | author understands this or not.
        
       | MichaelRo wrote:
       | >> When random people give money to random other people
       | 
       | It's called taxing the first to keep the second on welfare
       | benefits.
        
         | rexpop wrote:
         | This is also an approximation of commercial exchange.
        
       ___________________________________________________________________
       (page generated 2025-06-13 23:00 UTC)