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John de Wit, less empty negative comments please.

I’m happy to answer real questions if you’re not yet clear how DCAP works to guarantee fair results. I sympathise – it took me ages to fully understand why current voting systems fail voters and then years to work out how to correct it and then to twig to the simple maths behind it and finally to be able to give simple examples that demonstrate it.

E.g. it is not obvious that my DCAP system is correct when it will declare that Party D, of 4 parties standing, and with 45% first preferences is the winner despite Party A having 51% first preferences. But that is correct IF, repeat IF, in the election Party A had 49% of 4th (or LAST) preferences and party D had 55% of 2nd preferences. I have proved that particular case, no matter what preferences parties B and C get within the values I specified. Can anyone prove me mathematically &/or logically wrong there? No way! The correct Proportional results in a 100 seat electorate is NOT A=51 seats and D=45 Seats. The correct results is A=27 Seats and D=41 seats with B&C sharing the remaining 33 seats.

So, it will not be a majority Government for A in its own right. Rather, it will be a minority government, of probably D in coalition with B or C; or, a slim chance of A running a minority government. Apart from the speculation of who will arrange a coalition; who can logically prove I’m wrong and that that voters preferences showed that they collectively wanted A as a majority government? It can’t be done unless you ignore voters’ clear collective preferences. The fact is that a marginal “absolute majorities” may be a real win; or, a travesty of electoral justice simply because Distribution of Preferences (AKA Instant Run Off) and First-Past-The-Post systems are inherently incapable of guaranteeing a fair result.

I have proved that. I challenge anyone to prove me wrong.

Peter Newland,
Your arithmetic is very complex compared to a single vote for the party of your choice. There is no assumption that you should agree with every policy of that party. You just choose the party and candidate you think is best.