About us

.

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.

               * * * * *

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!

Main | 2025-28 Lectures in Russia and now Ukraine »
Friday
Nov142025

2025-29 UKRAINE: A POST-WAR POLITY

On 5th Nov in Mykolaiv Univeristy, some 20 students did a role-play on decision-making, with a prefential vote of course.  

PETRO MOHYLA BLACK SEA NATIONAL UNIVERSITY, MYKOLAIV 

5.11 2025

A ROLE-PLAY   -   A PREFERENTIAL VOTE ON THE QUESTION:

“HOW BEST SHOULD A POST-WAR VERKHOVNA RADA MAKE ITS DECISIONS?”

by The de Borda Institute

Background

Every post-war country should try to avoid those situations which make splitting the nation into two competing factions possible if not probable.  Indeed, it could be said that one of the many causes of the current war was Ukraine’s use of binary forms of decision-making:

            +          firstly, in its majority vote referendums: in the 1991 poll, results showed majorities of 80% 

and more in every oblast… except in Crimea (where the Tatars abstained) on a mere 54%; 

and 

    +          secondly, in its presidential two-round electoral system: in 2004, this culminated in a binary contest, Yushchenko versus Yanukovich, which the former won by a whisker; and in 2010, Yanukovich versus Timoshenko was another very close result.  Hence Maidan.  And violence.  Having supported majority rule in 2004, the EU now changed its mind to favour an opposite, power-sharing.  A delegation rushed over to Kiev but… too late… they arrived on the day Yanukovich ran into exile.

Looking back, it might have been wiser to agree, 

    +          firstly, that referendums in which the ‘winning’ option gains < 60% should be subject to a further, multi-option ballot; 

and 

    +          secondly, that close presidential elections should not only allow for the winner to be the president, but also for the runner-up to be the vice-president (which, interestingly, was the original system in the USA).

The Experiment

Ukraine might well need a cohesive post-war polity.  The workshop was structured:

            +          to consider several voting procedures;

    +          to form a ballot of four or more options; 

    +          to proceed to a preferential vote using the software – www.debordavote.com – on the 

participants’ mobiles: this programme allows any one devise to submit only one ballot;

and

     +          to thus identify the voters’ consensus. 

At this stage, there was a power-cut.  Accordingly, the methodologies which had been discussed (all too briefly), seven of them, formed the ballot, and the students were given a week to submit their votes on-line.  Of the twenty or so who attended the role-play, only half-a-dozen voted, but all six submitted full ballots of seven preferences:  https://www.debordavote.com/vote-results/192

The Options

The seven options – one binary and six multi-optional – were listed in random order, as follows:

            A          two-round system TRS;

            B          plurality voting;

            C          ranked choice voting RCV (otherwise known as the single transferable or 

alternative vote, STV or AV;

            D          majority voting;

            E          the modified Borda count MBC;

            F          the Condorcet rule; 

and

            G         approval voting.

Average Preference Score and Consensus Coefficients

If everyone casts a full ballot of seven preferences, the points totals may be ‘translated’ into average preference scores.  If, however, some voters had cast preferences for only a few or maybe only one preference, calculating these scores would have been problematic.  When analysing most ballots, we therefore use consensus coefficients, defined as the options’ MBC scores divided by the maximum possible MBC score; in this example, the latter is 6 x 7 = 42.  In theory, then, in full ballots, these scores can vary, from:

+          ‘the most popular’ (which would be 6 in number 1st prefs, or 6 x 7 points, which is then divided by 42 =) 1.00 

to 

+          ‘most unpopular’ (which is 6 x 1 divided 42) which is 0.14).  So the winning option, A, has an average preference score of 39/42 = 0.93, as shown below.

The Vote

In a full ballot on seven options, a 1st preference gets 7 points, a 2nd gets 6, etc., so a full ballot is worth 

7 + 6 + 5 + 4 + 3 + 2 + 1 = 28 points.  Six people voted; all were full ballots; so the total number of points used was 6 x 28 = 168.

As stated, the results may vary as follows:

Average preference scores                 and                  consensus coefficient                         

maximum                        1.0    (or 1st)                                                            1.00

mean                               4.0   (or 4th                                                           0.67

mimimum                       7.0   (or 7th)                                                            0.14

 

The results were as follows:                                                                               Average              

                                                                                                                     preference       Points       consensus            

                                        Preferences                                                              scores           totals.      coefficients   

             1st        2nd       3rd        4th        5th        6th        7th  

                                 Points per preference   

            7          6          5          4          3          2          1                    

B          4          1          1          -           -           -           - (1+1+1+1+2+3)/6 =1.5     39       0.93

G         1          4          1          -           -           -           -  (1+2+2+2+2+3)/6 = 2.0     36       0.86

D          -           1          3          1          1          -           -           etc.              = 3.3      28       0.67

A          1          -           -           3          -           -           2             “               = 4.8      21       0.50

C          -           -           -           2          3          1          -              “               = 4.5      19       0.45

E          -           -           1          -           2          2          1             “                = 5.3      16       0.38

F          -           -           -           -           -           3          3             “               = 6.5       .9       0.21

Totals  42        36        30        24        18        12        6                                     27.9    168      4.00

Adding up all seven of those average preference scores, (to get 27.9 – as shown in red), and dividing it by 7 to get the mean, gives a mean average score of 3.99 (which, as near as damn it, is 4.00, which is what it should be, as indicated in blue). 

An Analysis                 

In this particular example, the outcome – option B – with 4 in number 1st preferences wins an MBC vote but would have won a plurality vote as well.  Indeed, in life, there are probably many instances where a plurality vote gives exactly the same result as does an MBC consensus vote.  On other occasions, however, the MBC result will more exactly represent the collective will; as when, for example, a certain option gets very few 1stpreferences but lots of 2nd ‘s and 3rd ‘s.

Conclusion

The MBC is an egalitarian voting procedure; and it could be said that post-war, Ukraine needs an egalitarian polity.  

An Afterthought

It might also be pointed out that the MBC and Condorcet rule are the only methodologies which always take allthe preferences cast by all the voters into account; they are the most accurate; and as often as not, the MBC winner is also the Condorcet winner, just as, in many sports competitions, the team which wins the most goals is often, but not always, the team which wins most matches.

Acknowledgements

My thanks go to Анна Соловйова и Сергiй Шкiрчак, who hosted the role-play, translated some of my incomprehensible English, answered any technical questions on the various voting procedures, and facilitated the on-line vote.

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