An attempt to establish a similar system to Dash cryptocurrency in 2017

Let me answer to your above quote first, to clear the misunderstanding.

I am not suggesting 4592 Dash for all the Encointer community members. I am suggesting for the Dash masternodes to vote the numbers and decide what the dash basic income for all the encointer community members should be. A number between minimum 0 dash and maximum 4592 dash.

So 4592 dash is the best scenario, there is also the worst case that is 0 dash. And we have all the numbers in between. The decided number, that will be voted every month by the mansternodes, MAY PROBABLY VARIES EVERY MONTH. The monthly decision of the masternodes on how much dash will be given, depends on the number of individuals that participate to the encointer community and on the trust the masternodes have that the encointer community operates according to the specification and does not cheat.

In order to understand how “vote the numbers” works, look at the application I created here, or look here for the outcome of 4 proposals that are assumed to be numerical ones (they are not, but just for the sake of the example).

“Vote the numbers” is not a technology directly supported by the dash core team (although the main developer of Dash is a proponent of it). It is rather an add-on that I created, an add-on that can easily fit not only to Dash but also to any other coin that is governed by yes/no type proposals or referendums. This add-on fits even to the governed coins that have not implement yet any “vote the numbers” solution (like dash), it fits even to the governed coins that their core team strictly refuses to implement a “vote the numbers” solution but their community members strongly desire that.

The basic idea is, if you allow someone to vote a yes or a no, this person can also vote all the numbers, at the cost of many proposals. Because yes/no is similar to 0/1 (or 1/0 depending on the defined semantics), so we can use the binary numerical system.

In dash the masternodes are allowed to vote yes/no/abstain, so we have a base3 number voting system. Dash masternodes can also be allowed to vote by using the base4 voting system, you can look at the relevant app I created here. The explanation of the theory about “voting the numbers” is here.

I never write complete articles, I prefer to talk to forums. So if you want a summary of a similar to mine idea (a close variation), you can also read the article of PIETRO SPERONI.
Let the DAO decide “how much” – Pietro Speroni di Fenizio, PhD

I think “vote the numbers” has been clarified, so soon I will answer to your rest points.