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Voting system use cases

T = Trusted account A = Non trusted account Simple delegation to non trusted account T1 > T2 T2 > A3

A3 Votes yes

.. 2 votes yes

Simple delegation T1 > T2

T2 Votes yes

.. 2 votes yes

Self delegation T1 > T1

T1 Votes yes

.. 1 votes yes

Delegated but voted T1 > T2

T1 Votes no T2 Votes yes

.. 1 vote yes, 1 vote no

Delegated account does not vote T1 > T2

T1 Votes no

.. 1 vote no

Basic answer Proportion T1 > T2

T2 Votes 90% yes, 10% no

.. 90% yes, 10% no, sum: 2 votes

Basic answer Proportion each own vote T1 > T2

T1 Votes 90% yes, 10% no T2 Votes 50% yes, 50% no

.. 70% yes, 30% no, sum: 2 votes

Non trusted voted T1 > T2 T2 > A3

A3 Votes 70% yes, 30% no

.. 70% yes, 30% no, sum: 2 votes

Non trusted delegated from A1 > T2 T2 > T3

T3 Votes 70% yes, 30% no

.. 70% yes, 30% no, sum: 2 votes

Basic split T1 > 30% > T2 T1 > 70% > T3

T2 Votes 80% yes, 20% no T3 Votes 60% yes, 40% no

yes = (0.30.8+0.70.6 + 0.8 + 0.6)/3 = 0.68666 = 68.7% no = (0.30.2+0.70.4+0.2+0.4)/3 = 0.94/3 = 0,31333 = 31.3% sum = 3 votes

Basic split, one does not vote T1 > 30% > T2 T1 > 70% > T3

T3 Votes 60% yes, 40% no

yes = 0.70.6+0.6 = 1,02 = 60% no = 0.70.4+0.4 = 0.68 = 40% votes = 1.7

Circular delegation - two votes T1 > 10% > T2 T1 > 90% > T3

T2 > 20% > T1 T2 > 80% > T3

T3 > 30% > T1 T3 > 70% > T2

T2 Votes 20% yes, 80% no T3 Votes 60% yes, 40% no

yes = 0.6 + 0.2 + 0.10.2 + 0.90.6 = 1,36 = 45.3% no = 0.4 + 0.8 + 0.10.8 + 0.90.4 = 1,64 = 54.7% votes = 3

Circular delegation - one vote T1 > 10% > T2 T1 > 90% > T3

T2 > 20% > T1 T2 > 80% > T3

T3 > 30% > T1 T3 > 70% > T2

T3 Votes 60% yes, 40% no

yes = 0.6 + 0.60.8 + 0.60.9 + 0.60.80.1 + 0.60.90.2 + 0.60.80.10.2+ 0.60.90.20.1 + 0.60.80.10.20.1+ 0.60.90.20.10.2 ... = 1,79952 = 60% no = 0.4 + 0.40.8 + 0.40.9 + 0.40.80.1 + 0.40.90.2 + 0.40.80.10.2+ 0.40.90.20.1 + 0.40.80.10.20.1+ 0.40.90.20.10.2 ... = 1,19968 = 40% votes = 3