In terms accessible to someone new to electoral systems, what does the Schulze system do in case of no...
The title pretty much summarizes it. I am new to the idea of different electoral systems. Schulze is one that I find very interesting, but I find it difficult to understand what it does in case of no condorcet winner. Some help would be much appreciated.
voting-theory
asked Aug 26 '18 at 5:59
HyperioxX
61
add a comment |
The title pretty much summarizes it. I am new to the idea of different electoral systems. Schulze is one that I find very interesting, but I find it difficult to understand what it does in case of no condorcet winner. Some help would be much appreciated.
voting-theory
asked Aug 26 '18 at 5:59
HyperioxX
61
1
Is this a question about mathematics?
– Taroccoesbrocco
Aug 26 '18 at 6:12
yes. voting theory is very heavily rooted in mathematics.
– HyperioxX
Aug 26 '18 at 6:28
"Schulze voting comes into play when there happens to be no Condorcet winner. Schulze voting then takes indirect defeats into account ... " ourcommons.ca/Content/Committee/421/ERRE/Brief/BR8397842/…
– endolith
Aug 26 '18 at 22:41
add a comment |
The title pretty much summarizes it. I am new to the idea of different electoral systems. Schulze is one that I find very interesting, but I find it difficult to understand what it does in case of no condorcet winner. Some help would be much appreciated.
voting-theory
asked Aug 26 '18 at 5:59
HyperioxX
61
The title pretty much summarizes it. I am new to the idea of different electoral systems. Schulze is one that I find very interesting, but I find it difficult to understand what it does in case of no condorcet winner. Some help would be much appreciated.
voting-theory
voting-theory
asked Aug 26 '18 at 5:59
HyperioxX
61
asked Aug 26 '18 at 5:59
HyperioxX
61
asked Aug 26 '18 at 5:59
HyperioxX
61
asked Aug 26 '18 at 5:59
HyperioxX
61
asked Aug 26 '18 at 5:59
HyperioxX
61
61
1
Is this a question about mathematics?
– Taroccoesbrocco
Aug 26 '18 at 6:12
yes. voting theory is very heavily rooted in mathematics.
– HyperioxX
Aug 26 '18 at 6:28
"Schulze voting comes into play when there happens to be no Condorcet winner. Schulze voting then takes indirect defeats into account ... " ourcommons.ca/Content/Committee/421/ERRE/Brief/BR8397842/…
– endolith
Aug 26 '18 at 22:41
add a comment |
1
Is this a question about mathematics?
– Taroccoesbrocco
Aug 26 '18 at 6:12
yes. voting theory is very heavily rooted in mathematics.
– HyperioxX
Aug 26 '18 at 6:28
"Schulze voting comes into play when there happens to be no Condorcet winner. Schulze voting then takes indirect defeats into account ... " ourcommons.ca/Content/Committee/421/ERRE/Brief/BR8397842/…
– endolith
Aug 26 '18 at 22:41
1
1
Is this a question about mathematics?
– Taroccoesbrocco
Aug 26 '18 at 6:12
Is this a question about mathematics?
– Taroccoesbrocco
Aug 26 '18 at 6:12
yes. voting theory is very heavily rooted in mathematics.
– HyperioxX
Aug 26 '18 at 6:28
yes. voting theory is very heavily rooted in mathematics.
– HyperioxX
Aug 26 '18 at 6:28
"Schulze voting comes into play when there happens to be no Condorcet winner. Schulze voting then takes indirect defeats into account ... " ourcommons.ca/Content/Committee/421/ERRE/Brief/BR8397842/…
– endolith
Aug 26 '18 at 22:41
"Schulze voting comes into play when there happens to be no Condorcet winner. Schulze voting then takes indirect defeats into account ... " ourcommons.ca/Content/Committee/421/ERRE/Brief/BR8397842/…
– endolith
Aug 26 '18 at 22:41
add a comment |
1 Answer
1
active
oldest
votes
There are several algorithms for calculating the Schulze winner that give the same result. Here’s one with a particularly simple explanation (source):
For every pair of candidates A and B, draw an arrow A → B if its supporting voters (preferring A over B) outnumber its opposing voters (preferring B over A). Call a candidate “competitive” if they have a forward path along one or more arrows to each other candidate. There’s guaranteed to be at least one competitive candidate.
Now, some arrows A → B are stronger than others because they have more supporting voters, or the same number of supporting voters but fewer opposing voters. Go through the arrows in order from weakest to strongest, erasing any arrows that can be erased such that there’s still at least one competitive candidate. The last remaining competitive candidate wins.
answered yesterday
Anders Kaseorg
34828
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2894752%2fin-terms-accessible-to-someone-new-to-electoral-systems-what-does-the-schulze-s%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
There are several algorithms for calculating the Schulze winner that give the same result. Here’s one with a particularly simple explanation (source):
For every pair of candidates A and B, draw an arrow A → B if its supporting voters (preferring A over B) outnumber its opposing voters (preferring B over A). Call a candidate “competitive” if they have a forward path along one or more arrows to each other candidate. There’s guaranteed to be at least one competitive candidate.
Now, some arrows A → B are stronger than others because they have more supporting voters, or the same number of supporting voters but fewer opposing voters. Go through the arrows in order from weakest to strongest, erasing any arrows that can be erased such that there’s still at least one competitive candidate. The last remaining competitive candidate wins.
answered yesterday
Anders Kaseorg
34828
add a comment |
There are several algorithms for calculating the Schulze winner that give the same result. Here’s one with a particularly simple explanation (source):
For every pair of candidates A and B, draw an arrow A → B if its supporting voters (preferring A over B) outnumber its opposing voters (preferring B over A). Call a candidate “competitive” if they have a forward path along one or more arrows to each other candidate. There’s guaranteed to be at least one competitive candidate.
Now, some arrows A → B are stronger than others because they have more supporting voters, or the same number of supporting voters but fewer opposing voters. Go through the arrows in order from weakest to strongest, erasing any arrows that can be erased such that there’s still at least one competitive candidate. The last remaining competitive candidate wins.
answered yesterday
Anders Kaseorg
34828
add a comment |
There are several algorithms for calculating the Schulze winner that give the same result. Here’s one with a particularly simple explanation (source):
For every pair of candidates A and B, draw an arrow A → B if its supporting voters (preferring A over B) outnumber its opposing voters (preferring B over A). Call a candidate “competitive” if they have a forward path along one or more arrows to each other candidate. There’s guaranteed to be at least one competitive candidate.
Now, some arrows A → B are stronger than others because they have more supporting voters, or the same number of supporting voters but fewer opposing voters. Go through the arrows in order from weakest to strongest, erasing any arrows that can be erased such that there’s still at least one competitive candidate. The last remaining competitive candidate wins.
answered yesterday
Anders Kaseorg
34828
There are several algorithms for calculating the Schulze winner that give the same result. Here’s one with a particularly simple explanation (source):
For every pair of candidates A and B, draw an arrow A → B if its supporting voters (preferring A over B) outnumber its opposing voters (preferring B over A). Call a candidate “competitive” if they have a forward path along one or more arrows to each other candidate. There’s guaranteed to be at least one competitive candidate.
Now, some arrows A → B are stronger than others because they have more supporting voters, or the same number of supporting voters but fewer opposing voters. Go through the arrows in order from weakest to strongest, erasing any arrows that can be erased such that there’s still at least one competitive candidate. The last remaining competitive candidate wins.
answered yesterday
Anders Kaseorg
34828
answered yesterday
Anders Kaseorg
34828
answered yesterday
Anders Kaseorg
34828
answered yesterday
Anders Kaseorg
34828
34828
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2894752%2fin-terms-accessible-to-someone-new-to-electoral-systems-what-does-the-schulze-s%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
Is this a question about mathematics?
– Taroccoesbrocco
Aug 26 '18 at 6:12
yes. voting theory is very heavily rooted in mathematics.
– HyperioxX
Aug 26 '18 at 6:28
"Schulze voting comes into play when there happens to be no Condorcet winner. Schulze voting then takes indirect defeats into account ... " ourcommons.ca/Content/Committee/421/ERRE/Brief/BR8397842/…
– endolith
Aug 26 '18 at 22:41