Voting Rules for Accurate Democracy     Voting Systems. Rules Introduction Lesson Plans Workshop
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Voting systems and election rules for Accurate Democracy

A Movable-Vote
Workshop

Introduction to voting systems, chapter contents
Get your hands on 5 great voting rules.
See fair-share tallies organize voters.
Vote fast on budgets, policies, and projects
.


Instant Runoff Voting elects one candidate.
Single Transferable Vote elects several.
Movable Money Votes buy public goods.
Budget Refill Voting adjusts many departments.
Condorcet Pairwise Voting centers a policy.
Six voters placing their cards.
This workshop shows the simple steps in each tally.
Students don't have to do any math their first time.
The teacher can prepare a tally board and voting cards for them.
This guide shows how that was done, and how to use them.

 

 

 A Tally Board Has:

  • A card for each voter,
  • A column for each option,
  • A finish line for the favorites.

 

 

 


Card E
Card D
Two single cards, stacked
in a candidate's column.

Instant Runoff Voting Elects One Candidate

For a tabletop tally by Instant Runoff Voting (IRV):
  • The finish line marks the height of half the cards plus one.
    That is how many votes a candidate needs to win.
  • Eliminate the weakest if no one wins.
    Draw names from a hat to break ties.
  • Move your card if your candidate loses.
    This is a "transferable vote".
  • Repeat until one candidate reaches the finish line!

The chart below shows four columns on a tally board.
The voting rule eliminated Anna, as she was the weakest candidate
in first-rank votes; so JJ moved his card to his next choice.
Then Bianca lost; so the voters DD and GG moved their cards.

Tally board with 4 candidate columns

By organizing voters, Instant Runoff Voting ends:
Spoilers and lesser-of-two-evils voting;
Costly runoffs and winners without majority mandates.

IRV elects leaders in London, Sidney, San Francisco and more.
It elects students leaders at Duke, Harvard, MIT, Stanford...


Questions on Instant Runoff Voting

1. A card that moves vote is no bigger than any other vote: True,  False, 
    Does its voter have more votes or power than any other voter: ?  
2. Your second-choice vote cannot hurt your first choice: True,  False, 
3. Two candidates can't reach the 50% + 1 vote finish line: True,  False, 
4. How can your group use Instant Runoff Voting ? 
Answers:  Roll your mouse above a question, but do not click it.

Single Transferable Vote Elects Several Reps

For a three-seat election by Single Transferable Vote (STV):
  • The finish line marks the height of a quarter of the cards plus one.
  • Do not give a card to a candidate who has finished.
  • Eliminate the weakest candidates one at a time.
  • Move your cards until three candidates win!

Single Transferable Vote is used in Australian and Irish elections,
at Princeton, Harvard, Berkeley, Oxford and Cambridge,
in some unions, and in the Church of England.

It gives each group their fair share of voices on a council.
It often elects more women and minority candidates.
It increases choices for voters and turnout of voters.
It makes more effective votes that elect reps.


Questions on Single Transferable Vote

1. What total percent must the three STV reps win ? 
2. Only three candidates can each win 25% plus one vote: True,  False, 
3. Your second choice vote cannot hurt your first choice: True,  False, 
4. How can you use the Single Transferable Vote ? 

Movable Money Votes Buy Public Goods

For Fair-share Spending by Movable Money Votes (MMV):
  • Let's say we each put in $1 to buy some items.
    You get two 25¢ voting cards and a 50¢ double card.
  • We decide an item needs modest support from 10 of us
    to prove it is a public good worth public money.
    So the finish line marks the height of 10 single cards.
  • You may put only one of your cards in a column.
    So you can't dump all your cards on a private item.
     
    Tip: Give your double card to your favorite item.
    This way 5 eager voters can fund a low-cost item.
    So the voters' number and zeal both count.

  • A costly item must fill several columns A column here
    holds $2.50,
    so a $5.00 item must fill two columns.
  • When a item wins, the banker hides its cards, and then
    rejects any item that costs more than all the cards left.
    Then one at a time, we reject the least popular item,
    with the lowest level of cards in its columns.
  • Move your cards from a loser to your next choice.
    Tip: You may try to save a threatened favorite by briefly
    withholding your cards from lower-choices.

    Voting stops when all the items still on the table are paid up.
    Only a few items can win, but all voters can win something!


Questions on Movable Money Voting

1. Can your second choice hurt your first choice ? 
2. Should we let each voter or rep fund private items ? 
3. Should people who pay more taxes or dues get more power
    to spend public money ?
      to set public laws ? 
4. How can your group use Movable Money Votes ? 

It's new; try it!  It can help your group directly and set an example
for others.  You can give something to the progress of democracy!

Budget Refill Voting Adjusts
Many Departments

To adjust ongoing budgets by Budget Refill Voting (BRV):
  • A big department or program has several columns to fill.
  • The columns each need $100...   for the program to reach
    last year's budget; that is its refill line.
  • A supporter's cards help refill its budget columns.
    Voters can push it above its refill line.
    But its gain will be another program's loss.

Let's say a council of 20 decides each program needs
moderate support from 10 members to restore its funding.
So a column needs 10 cards from 10 voters to reach its
refill line, or as few as 5 double cards from eager voters.

The group wants to budget 4 low-cost activities with 1
column each, plus 3 costly programs with 2 columns each.
Those 10 columns X 10 cards to refill each = 100 cards.

The 100 cards / 20 voters = 5 cards for each voter; that's 1
double and 3 singles. You may put only 1 card in a column.


  • Set target budgets for programs and rank your priorities.
    As a budget nears your target, its priority likely goes down.
    So move your cards to your next under-funded priority.
  • Reacting is key!
  • We stop voting when a hidden timer sounds.
    You lose cards that are not on the board.
    This deters faking votes until a last-moment switch.
  • A two-thirds majority may reopen the voting.

Questions on Budget Refill Voting

1. Does each voter control movable money ? 
2. Does an agency need a winning number of votes ? 
3. Can your second choice hurt your first choice ? 
4. Should a rep's cards be so visible to other voters ? 

Pairwise Rule Centers a Policy

Here is a hands-on way to show the Marquis de Condorcet's
Pairwise rule:
  • Policy C's flag is at our center, by the median voter.
    Three flags surround C, about 4' from it. (1.2m)
  • Pairwise asks: “Are you closer to flag A than flag B?
    If so, please raise your hand.”  Then test A against C, etc.
    We put each total in the Pairwise table below.
  • The winner must top every rival, one-against-one.
            
against  A B C D
for A 2 2 3
for B 5 2 3
for C 5 5 4
for D 4 4 3


Pairwise is a Wide-Appeal Contest.

  • A pole stands at our center, by the median voters.
    It holds a short Red ribbon and a long Blue one.
  • If the Red ribbon gets to you, the Red policy
    gets your vote with its narrow appeal.
  • But if the Red cannot touch you, the wider appeal
    of the Blue policy gets your vote.  Which one wins?

 If the poles are places for a heater in an icy cold room. 
A) Do we put it at our center or in the biggest group ? 
B) Do we turn on its fan to spread the heat wide ? 


Questions on Pairwise Voting

1. Can the middle voter(s) enact any policy alone ? 
2. Can fringe voters affect the Pairwise result ? 
3. Does it favor narrowly-centrist or broad policies ? 
4. Does it favor balanced or one-sided policies ? 
5. Does it eliminate the weakest option and move its ballots ? 
6. Should a first-choice vote count more ? 

Full-Choice Ballots

Only small groups can use cards for actual voting.  Big groups use paper ballots — often tallied by computer, then audited by hand.  Other pages tell the merits of full-choice ballots and show examples of preference ballots.

For anonymity in tabletop voting, you may put your ballot in a box and pull out another voter's, then move cards for that voter as someone else moves yours.

Six voters placing their cards.

Conclusions

The best voting rules are fast, easy and fair.
They strengthen votes and thus mandates.  That means
they organize voters and lift the number supporting:
Center  a Chairperson from a plurality to a majority;
Full Rep  a Council from a plurality to over three quarters;
Budgets  a Budget from a few power blocs to all members;
Center  a Policy from a one-sided to an over-all majority.

 

Booklets, Flip Charts, and Slide Shows

Booklet size Grade Primer Workshop Font Paper
Pocket B&W 10-12 doc  pdf doc pdf 10 letter a4
Paperback 13 up doc  pdf doc pdf 10 legal  b4
Hardback 15 up doc  pdf doc pdf 13 letter a4
Legal 13 up doc  pdf doc pdf 24 legal  b4
FlipChart 13 up doc  pdf doc pdf 36 legal  b4
Slides 13 up ppt ppt 26 screen
" Outline 13 up ppt ppt 32 screen
 

The B&W pocket primers print well on black-ink printers.
The others are best on color printers.
The booklets are arranged for two-sided printing:
Print half.  Reload (restack if needed).  Print the rest.
The Large and Flipchart versions are for one-sided printing.
The Power Point slideshows include discussion notes.

Workshops can print on A4 letter paper (no cuts or folds) with
plain columns: docpdf; or a more colorful style: docpdf.
Covers printed on heavy card stock are nice for paperback and
hardback booklets.  The paperback includes voting cards.

Mail Order: Prices include shipping in the USA and Canada.
Pocket size in laser-quality B&W are 20 copies for $19.
Paperback size in color with card-stock covers are 20 for $49.
Hardback size in color with card-stock covers are 10 for $39.

 Contact Accurate Democracy  Contact Accurate Democracy  Contact Accurate Democracy

You may download voting cards formatted in Microsoft Word or Excel, free software, and a full-choice ballot template.

Fun ballot issues include dinner-party music, favorite videos and snacks, group vacations, pizza toppings, Ben & Jerry's, sports stars, actors...


It is rare to lecture on voting rules and find a student who doesn't get it.  But many forget the tally logic in a month, simply because they have not used it and don't expect to soon.  This workshop creates strong memories by involving a student's senses, physical movement, social interaction, and a favorite treat at the end.

You might want to read the one-page intro­duction to each of the six voting tasks.  These tell how a task is like and unlike other uses of voting, what it must do, stories of tragedy and success, the best rule's name, its ballot and its main merits.

(If you prefer more numbers and logic with fewer pictures, the original Democracy Evolves is still online, with a few updates.)

Accurate Democracy is organized by uses of voting:
elections and legislation, single winner and multi winner.