Condorcet paradox
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enWhich voting system is best?
https://plus.maths.org/content/which-voting-system-best
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<p>With the day of the referendum on the UK voting system drawing nearer, Tony Crilly uses a toy example to compare the first past the post, AV and Condorcet voting systems, and revisits a famous mathematical theorem which shows that there is nothing obvious about voting.</p>
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<p><em>With the day of the referendum on the UK voting system drawing nearer, Tony Crilly uses a toy example to compare the first past the post, AV and Condorcet voting systems, and revisits a famous mathematical theorem which shows that there is nothing obvious about voting.</em></p>
<div class="rightimage" style="width: 333px;"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/news/2011/vote/istock_scale.jpg" alt="Choosing the winner" width="333" height="283" /><p>How to choose a winner?</p><p><a href="https://plus.maths.org/content/which-voting-system-best" target="_blank">read more</a></p>https://plus.maths.org/content/which-voting-system-best#commentsArrow's theoremCondorcet paradoxelectionvotingWed, 27 Apr 2011 10:12:26 +0000mf3445478 at https://plus.maths.org/contentElectoral impossibilities
https://plus.maths.org/content/os/latestnews/jan-apr10/election/index
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<p>One advantage of the UK voting system is that nobody could possibly fail to understand how it works. However, the disadvantages are well-known. Differently sized constituencies mean that the party in government doesn't necessarily have the largest share of the vote. The first-past-the-post system turns the election into a two-horse race, which leaves swathes of the population un-represented, forces tactical voting, and turns election campaigns into mud-slinging contests.</p>
<p>There are many alternative voting systems, but is there a perfect one? The answer, in a mathematical sense, is no.</p>
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One advantage of the UK voting system is that nobody could possibly fail to understand how it works. Everybody has one vote, in every constituency the candidate with most votes wins, and the party that wins the majority of constituencies goes on to form the government. Simple.</p><p><a href="https://plus.maths.org/content/os/latestnews/jan-apr10/election/index" target="_blank">read more</a></p>https://plus.maths.org/content/os/latestnews/jan-apr10/election/index#commentsCondorcet paradoxCondorcet winnerelectionThu, 08 Apr 2010 23:00:00 +0000plusadmin5212 at https://plus.maths.org/contentMathematics and democracy: Approving a president
https://plus.maths.org/content/mathematics-and-democracy-approving-president
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Steven J. Brams </div>
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Much criticism has been levelled at the US voting system, and with this being election year, we're bound to hear more of it. In this article <b>Steven J. Brams</b> proposes an alternative voting system that could help make things more democratic. </div>
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<div class="pub_date">September 2008</div>
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<p><i>This article is adapted from the first chapters of Steven Brams' book, <a href="http://press.princeton.edu/titles/8566.html">Mathematics and Democracy</a>, published by Princeton University Press and reproduced here with kind permission. The book is <a href="/issue48/reviews/book2">reviewed</a> in this issue of Plus</i>.</p><p><a href="https://plus.maths.org/content/mathematics-and-democracy-approving-president" target="_blank">read more</a></p>https://plus.maths.org/content/mathematics-and-democracy-approving-president#comments48Condorcet paradoxCondorcet winnerelectionvotingvoting systemsSun, 31 Aug 2008 23:00:00 +0000plusadmin2340 at https://plus.maths.org/contentEditorial
https://plus.maths.org/content/editorial-7
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<p>Election issues</p>
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<div class="pub_date">September 2008</div>
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<h3>Election issues</h3>
<p>Whenever major elections come around public attention swings, albeit briefly, to a mathematical aspect of democracy: how to devise a voting system that reflects the true "will of the people".<p><a href="https://plus.maths.org/content/editorial-7" target="_blank">read more</a></p>48Arrow's theoremCondorcet paradoxCondorcet winnereditorialelectionvotingvoting paradoxvoting systemsSun, 31 Aug 2008 23:00:00 +0000plusadmin4904 at https://plus.maths.org/content