About us

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A MAJORITY VOTE

MAY BE ACCURATE

IF, AND ONLY IF,

THE TWO OPTIONS

ARE A DUALITY.

 

 

DEMOCRACY IS FOR

EVERYBODY, NOT

JUST FOR A (OR

THEMAJORITY.

 

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Another journey to China, via Baku (COP29), Georgia, India, and return via Mongolia, Russia and (therefore) Ukraine.  Here's the blog: https://deborda.substack.com/p/debordaabroad2

 

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The de Borda Institute

aims to promote the use of inclusive, multi-optional and preferential voting procedures, both in parliaments/congresses and in referendums, on all contentious questions of social choice.

This applies specifically to decision-making, be it for the electorate in regional/national polls, for their elected representatives in councils and parliaments, for members of a local community group, a company board, a co-operative, and so on.  But we also cover elections.

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The Institute is named after Jean-Charles de Borda, and hence the well-known voting procedure, the Borda Count BC; but Jean-Charles actually invented what is now called the Modified Borda Count, MBC - the difference is subtle:

In a vote on n options, the voter may cast m preferences; and, of course, m < n.

In a BC, points are awarded to (1st, 2nd ... last) preferences cast according to the rule (n, n-1 ... 1) {or (n-1, n-2 ... 0)} whereas,

in an MBC, points are awarded to (1st, 2nd ... lastpreferences cast according to the rule (m, m-1 ... 1).

The difference can be huge, especially when the topic is controversial: the BC benefits those who cast only a 1st preference; the MBC encourages the consensual, those who submit not only a 1st preference but also their 2nd (and subsequent) compromise option(s) And if (nearly) every voter states their compromise option(s), an MBC can identify the collective compromise.

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DECISION-MAKER
Inclusive voting app 

https://debordavote.com

THE APP TO BEAT ALL APPS, APPSOLUTELY!

(The latest in a long-line of electronic voting for decision-making; our first was in 1991.)

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FINANCES

The Institute was estabished in 1997 with a cash grant of £3,000 from the Joseph Rowntree Charitabe Trust, and has received the occasional sum from Northern Ireland's Community Relations Council and others.  Today it relies on voluntary donations and the voluntary work of its board, while most running expenses are paid by the director. 

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 A BLOG 

"De Borda abroad." From Belfast to Beijing and beyond... and back. Starting in Vienna with the Sept 2017 TEDx talk, I give lectures in Belgrade, Sarajevo, Istanbul, Tbilisi, Yerevan, Tehran, Beijing, Tianjin, Xuzhou, Hong Kong and Taiwan... but not in Pyongyang. Then back via Mongolia (where I had been an election observer in June 2017) and Moscow (where I'd worked in the '80s).

I have my little fold-up Brompton with me - surely the best way of exploring any new city! So I prefer to go by train, boat or bus, and then cycle wherever in each new venue; and all with just one plastic water bottle... or that was the intention!

The story is here.

In Sept 2019, I set off again, to promote the book of the journey.  After the ninth book launch in Taipei University, I went to stay with friends in a little village in Gansu for the Chinese New Year.  The rat.  Then came the virus, lockdown... and I was stuck.

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The Hospital for Incurable Protestants

The Mémoire of a Collapsed Catholic

 This is the story of a pacifist in a conflict zone, in Northern Ireland and the Balkans.  Only in e-format, but only £5.15.  Available from Amazon.

 

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The director alongside the statue of Jean-Charles de Borda, capitaine et savant, in l’École Navale in Brest, 24.9.2010. Photo by Gwenaelle Bichelot. 

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WELCOME

Welcome to the home page of the de Borda Institute, a Northern Ireland-based international organisation (an NGO) which aims to promote the use of inclusive voting procedures on all contentious questions of social choice. For more information use the menu options above or feel free to contact the organisation's headquarters. If you want to check the meaning of any of the terms used, then by all means have a look at this glossary.

As shown in these attachments, there are many voting procedures for use in decision-making and even more electoral systems.  This is because, in decision-making, there is usually only one outcome - a singe decision or a shopping ist, a prioritisation; but with some electoral systems, and definitely in any proportional ones, there can be several winners.  Sometimes, for any one voters' profile - that is, the set of all their preferences - the outcome of any count may well depend on the voting procedure used.  In this very simple example of a few voters voting on just four options, and in these two hypothetical examples on five, (word document) or (Power-point) in which a few cast their preferences on five options, the profiles are analysed according to different methodologies, and the winner could be any one of all the options.  Yet all of these methodologies are called democratic!  Extraordinary!

« 2035-32 UKRAINE and Mitteleuropa | Main | 2025-30 Ukraine: An on-line debate + decision »
Friday
Nov212025

2025-31 Letter from Ukraine: another binary!

CRC to pubish:            Letter from Ukraine.

Majority rule - one lot wins everything, while the other lot loses everything - came to dominate politics, long after the Greeks devised majority voting, some 2,500 years ago.  There were no political parties in those old days, so anyone - (men only, I’m afraid) - could vote with a neighbour today, and against him tomorrow, without the two of them falling into antagonistic groups (or political parties) in permanent opposition to each other.  

Parties came later: whoever designed the House of Commons ignored the example of King Arthur's round table and built a two-sided debating chamber.  So they started to abuse each other: “You tories!” (‘Papist bandits’) shouted one side; “Oh you whigs,” ('Presbyterian bigots') replied the others.  Hence, the two-party system.  It’s “a frightful despotism,” said George Washington; but party politics and majority rule became well established: government versus opposition. 

And adversarial binary politics has survived.  In 105, Pliny the Younger realised that, when there are three or more options on the table, majority voting has serious limitations: he proposed plurality voting.  The debate resumed after the Dark Ages, with approval voting in Venice in 1268; Ramón Llull suggested preferential voting in 1299, and Cardinal Nicholas of Cusa proposed a points system in 1433; in 1770, this became the Borda count BC, after Jean-Charles de Borda.  The two-round system came in 1775; the Condorcet rule dates from 1785; and finally (for this short summary), the alternative or single transferable vote AV or STV - the Americans call it ranked choice voting RCV - the invention of Thomas Hill in 1821.

1          Majority voting is either a singleton - “Option X, yes or no?” - or a pairing - “Option X or option Y?”  With singletons, there might be a majority against everything, as in Brexit; with a pairing, there will always be a definite outcome, but whether this is the most popular remains unproven.

2          In plurality voting, the punter or representative chooses just one of three or more options; the winner may have a majority, or maybe just the largest minority.

3          Approval voting is non-preferential; the punter may ‘approve’ of an option if she thinks it is brilliant, good, or just ok.  The option with the most ‘approvals’ is the winner.

The next three are all preferential.

4          In a BC on n options, a 1st preference gets n points, a 2nd gets (n-1) points, and so on; the option with the most points wins.

5          In a Modified MBC, if the punter casts m preferences, her 1st preference gets m points.  So she who casts only one preference gets her favourite just 1 point; and those who cast all n preferences get their favourite n points, {their 2nd choice (n-1) points, etc.}. 

6          Like a sports league, comparing options (or teams) two at a time, the Condorcet rule identifies the option which wins the most pairings (or matches).

Most of these methodologies are ‘win-or-lose’.  The MBC, however, is win-win; it's the only methodology which is always egalitarian, people vote ‘yes’ to their favourite, or ‘yes’ in their order of preference to two or more options… but no-one votes ’no’.  

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While electoral systems vary enormously, from binary voting in North Korea to (the British invention of) PR-STV in Ireland, decision-making varies hardly at all: nearly every country uses majority voting!  Furthermore, the GFA states that we the voters should have preferential voting when electing our Assembly, but that we should not have preferential voting in any future referendum.  Decision-making in the Assembly, albeit consociational, should also be binary.

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Politics is adversarial, mainly because it is based on the old Greek binary vote.  It could be more consensual.  In every debate in, say, a five-party assembly, every party could submit an option; each would be debated in turn and amended, only if the proposing party agreed to that change; then, when all was said but not yet done, the Speaker would call for a vote on, let’s say, a five-option ballot:

            + he who casts one preference gets his favourite only 1 point;

            + she who casts two preferences gets her favourite 2 points, (and her 2nd choice 1 point);

and so on; accordingly:

            + those who cast all five preferences get their favourite 5 points, (their 2nd choice 4, etc.).

In effect, this MBC encourages every voter to submit a full ballot; to recognise the validity of the other options; to cross the gender gap, the party divide, and even the sectarian chasm; to state their compromise option(s)... and if everybody does state their compromise option, the collective compromise is the option with the most points, with the highest average preference.  And an average, of course, includes every voter, not just a majority of them.  Democracy is for everybody, not just the winners.  By definition, a democratic decision-making procedure should be egalitarian… like the MBC.

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“Ulster says ‘no’!” shouted thousands in 1985.   One week later, six of us held a banner: “We have got to say ‘yes’ to something.”  And six months later we held the New Ireland Group’s Peoples’ Convention, under the late Dr John Robb: an open, public meeting, with some 200 participants, from Sinn Féin to the UPRG, all except the DUP.

Participants sat in a tiered, concentric circle.  They paused, initially, for silence.  Next, they listened to the late John Hewitt reading his Anglo-Irish Accord.  And then the debate: everything was ‘on the table’ if it complied with the UN Charter on Human Rights; and finally, on ten options, they voted, ‘yes’ to a favourite, or ‘yes’ in their order of preference to a number of options... but no-one voted ’no’!  Sure enough, a compromise was found: “NI to have devolution and power-sharing, within a tripartite Belfast-Dublin-London agreement.”  A mini-GFA, just 12 years ahead of its time.

But this procedure of voting had already been invented, in 1770, by yes, M de Borda, in France.  It was adopted by l’Académie des Sciences, though then rejected by the latter's new boss.  He wanted to control things, so he brought back majority voting; he chose the one and only option - himself; and in a binary referendum in 1803, he became l’empereur, Napoléon.  A ‘democratic dictator’ he might have said.  

He was followed by Mussolini and Hitler et al, all using binary voting… but the first one to ’dictate properly' and get 100% was an Irishman, Bernardo O’Higgins, in 1818, in Chile.

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Given that majority voting is so manipulable, while the MBC is so robust and accurate, we suggest that everyone involved in collective decision-making - in community groups, trades unions, political parties or whatever - adopts the MBC.  If only for the sake of Ukraine.  It could even help COP 30 reach consensus decisions, and thus ensure the human race actually survives.

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