rcoin.h - namZeZaM Erez Elul Comcomist @ Postnational Solutions Makers #HopeIsBack

rcoin.h

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+ The Rcoin calculus

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The Rcoin's variables:
The Rcoin's calculus.	Used for transactions in points of respect, which are visible only in its issuing group ruled by consensus about initial equal distribution of Rcoins and the 3 transaction associative arrays:
License	Humanitarian Agpl
id	id of Rcoin in the form of primary.number_of_sub_units.amount_of_sub_units
s	startValue the value of the Rcoin in its issue time
i	issue time of the Rcoin
l	last time or expiration date of the Rcoin
d=l-i	duration of the Rcoin
a=s/d	amplitude of the Rcoin
The Rwallet table:
used for	calculating the current wallet of Rcoins of one person in one community
column =l	record's field =either in the first record (m,r), as 0<=r<=1, or (a,id)
x	the number of people in the community
n, as i<=n<=l and as in now	the current time
calculating	per each column l, { m=0; for each recorded{m+=a(recorded);} t=m/r; m+=t/x; r=m/t; m*=l-n;}, where t is the treasury(l) being the total sum in the group of rcoins of which expiration date is l, of which, in ratio r, m rcoins belong to the owner.
The 3 transaction associative arrays - the 'Secrets', 'Coins' and 'Owners':
'Secrets': hash(secret) =>	{(complete id including upper and lower bound, time stamp) signed by its current owner}, were secrets are only one time used
'Coins' : hash(primary_id(Rcoin)) =>	{l,s,d,number_of_sub_units}
'Owners' : hash(primary.number_of_sub_units_id(Rcoin)) =>	{signed-by-previous-owner(hashW),upper and lower bound of sub units),,,}, where hashW is hash(secret,iiaom) of the current owner and the number of owners is smaller or equal to number_of_sub_units}.
The 4 steps in each transaction
sending (pubk,iiaom,secret,id(rcoin)) of current owner	from current owner to the next owner in an end-to-end-encrypted-private message.
Testing by next owner and later the group	Is secret (id(Rcoin), time stamp) signed by its current owner in Secrets? Does the owner match the iiaom? Is the hashW match secrete and iiaom in Owners? Is the signature match with the pub key of the curent owner?
Creating the hashW of new owner by both owners	singing the current onwer on the hashW of the new owner
Broadcasting to the group in forum and/or direct p2p communication by next owner	current (hash(secret), id(Rcoin), hashW, pubk) together with the new owner's created record in Secrets + new hashW signed by the current owner

Generating Rcoins: The Self adjustment in the group to some principle goals by "printing" its coins of respect: The group creates its coins to projects its (new) Gini, by both:

A) maintaining its social obligation amounted to Mini guaranteeing minimal amount of coins per each of its members and
B) by delivering an additional equal dividend D to each of its members,

such that

-1 <= min_Injustice <= Gini - Justice <= max_Injustice <= 1 and
0 <= min_stress <= Gini / Justice <= max_stress,

where

Gini is the ratio of the areas on the Lorenz curve diagram used as a measurement for inequality in the group, as 0<= Gini<=1,
X is the number of group's members,
Y is the amount of group's coins,
D is an equal Dividend per group's member, as D*X is added to Y per each round,
A is the Average of coins per group's member, as A=Y/X,
Mini the Minimal amount of coins guaranteed per each of the group's members,
Justice = Mini/A, Justice as in group's social Justice, as 0<=Justice<=1, since Mini<=A.

Notes:

The groups "printing" coins is to be done with specific coins's-lifetime, D and Mini, using limitation such as min_Injustice, max_Injustice, min_stress, or max_Stress to response to specific changes of the Justice and Gini in the group, for to meet some policy, which are to be made automatically and/or directly under decision made by people.
Even when the coin of respect are only in the group tradable, still the tradability out of that group is optional by peer coin, which is the value of accountability-and-ownership of one peer owner, as peer coin is measured by coin of respect of other group, money or money's equivalent.

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pile, on 16 Oct 2013 12:32 history Tags:

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page revision: 220, last edited: 31 Jan 2015 13:17

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