I couldn't really follow the maths but as far as I could understand the income creation is from coin generation and coins aren't destroyed anywhere in the process. If that's right then it would devalue quickly, ex. say everyone on the planet gets a basic income of $10 a day, that's $70 billion created every day or $25.5 trillion a year... rapid devaluation and so generation would have to increase proportionally making things even worse.
Basic income is a fine idea, maybe even an essential one as production becomes more efficient and requires less labour but it can't be magicked from thin air, there has to be a balance of supply and demand just like any other stable economy. Not that destruction of coins is essential, they can come in from... somewhere and be re-distributed as basic income but there has to be both an in and an out.
And that's the simple version!?! I still don't see how it prevents supply exploding, I don't see W defined, is it something to do with that? I get the impression it only works one way too, ever increasing population and that's not exactly viable, not until population growth is independent from oil production at least. Can you annotate each step of the equations? I'd gone through this quite a bit before and it always needed a loop, supply both in and out but I'd gladly be proved wrong
While I am not discussing the math here (I had trouble following the variables in the video), I can tell that, conceptually, universal basic income would never work, at least the "universal" (as in worldwide) part. In order for wealth to be distributed it must first be created. And cryptocoins or whatever types of coins or money are not wealth, they are simply representation of wealth. Wealth itself is what people actually need or use, like food, goods, services, etc. If you create a coin that has universal distribution, something must be traded for them in order for it to have value.
Say you give $1000 monthly to everyone in the world; for those $1000 not to lose value, at least $1000 worth of wealth has to be created monthly for every individual on earth. Otherwise, everything will just end up being more expensive monthly in order to account for those $1000 per person, i.e., inflation. So the problem is not coin creation or distribution, is the creation of wealth itself. If half the people do no work (i.e.: generate no value to society) and get $1000, that means that the other half of the people who do work will need to "produce" $2000 worth and still get only $1000. If they want to get $2000 they would need to create $3000 worth of wealth. Would you like to do $3000 worth of work and only get $2000? Automation increases productivity (that's why a lot more wealth is created per capita today than in the past), but unless you automate every single thing on earth (production, maintenance, development), it will not solve things.
I think it might make it harder to understand with the equation. So here is a breakdown of the concept somewhat simplified from the equation, with less variables for growth direction.
I'm going to average a lot of things out at 10% to make it easier to understand. Lets say the payout per year of a masternode is set at 10% for the benefit of the explanation. I'm also going to imput numbers for the number of y, x and z nodes at the start.
# of Y nodes at start: 657
# of X nodes at start: 657
# of Z nodes at start: 657
People born in a year: 131,400,000
Units created from each type of node in a year at start at 10% payout (1 million units in a full coin): 65,700,000,000
Average of units assigned at birth to each person (from Y nodes) : 50
Now lets say 10% of what is created by the Y nodes goes back to creating more Y nodes and the rest goes to creating X nodes.
So for the year there would be 6.57 more Y nodes and 59.13 more X nodes.
Already we know that keeping the node payment stable in relation to the growth or decline in population, new people (new members) will have more than 50 units assigned the next year by the Y nodes. Now in the equation what I did is increase the Y node generation further by also putting back in a percentage of what is generated by X nodes. Not really necessary, it is a variable as described so lets leave it at 0 for now but it makes for interesting growth control interaction.
We also know that the profits generated by the X nodes will increase and this is where we pay the universal basic income from. The Y nodes simply represent their share ownership in the Universal Basic Income system, the X nodes is where it increases in value to support the payments for the Universal Basic Income.
Profits from Z nodes are to pay for all the costs of society(ideally, but fundamentally the only two first categories are necessary strictly for the Universal Basic Income). Now the really cool part that makes it work really well is the delay. In the equation i put it at every 5 years payments. The idea here is that you just need enough time in between payments to make it sustainable (this also determines the amount of the payments).
Let me know if that helps to understand it a bit, the equation is more complicated that just explaining it through words I find.