# Questions tagged [voting-theory]

For questions regarding the mathematical analysis of voting systems and behavior. Examples include the median voter theorem or the Condorcet jury theorems.

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### Problem in downvote system

Problem For my game, I'm building a system where players have power/weight, and they can downvote each other, players with 66% of downvote weight are banned. The weight of the votes is calculated ...
1 vote
58 views

### Simple Algorithm to Find the Inner Smith Set

I've been writing a library to tabulate results of ranked choice ballots by multiple methods. For Condorcet Methods I would like to quickly reach the smallest possible Dominant (Smith) Set. The steps ...
• 111
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### Organise "all possible voting schemes"

I’m currently reading 1, 2, and 3. Wikipedia lists some of the better-known voting schemes (Borda count, approval voting, run-offs, …), a few of which have actually been tried in reality (e.g., the ...
• 4,227
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### Simple Ranked Voting

So I'm looking at trying to solve this problem: I have N-individuals who're trying to determine the relative priority of M-projects. We decided to start off with a voting scheme which was something ...
97 views

### Voting system with probability

Three independent algorithms are executed in parallel. The role of each algorithm is to give an answer (Yes or no) with a certain probability to a certain number of questions (say 100). Example: ...
• 101
1 vote
83 views

### Prove Nanson's method will select Condorcet Winner

I somehow cannot prove this, so requesting assistance: In the voting method known as the Nanson's method, the Borda counts of all candidates are computed. Next, those candidates with below average ...
• 11
1 vote
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• 103
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### Fair Rank Voting When Some Members Do Not Vote

I am currently trying to work out a problem with a voting system for a local club. Competitions are held frequently and the current system works as such: Everbody who enters the competition gets to ...
47 views

### Voting theory when NO is an option

Has anyone mathematically studied voting systems in which NO is one of the options, or more precisely in which one of the possible outcomes is that none of the candidates win? If so, where can I read ...
• 4,204
314 views

### Game theory: Approval Voting not weakly dominated strategies

"In the system of “approval voting”, a citizen may vote for as many candidates as she wishes. If there are two candidates, say A and B, for example, a citizen may vote for neither candidate, for A, ...
• 638
1 vote
PROBLEM I have a set of candidates $C=\{c_1,c_2,...,c_m\}$ and a set of voters $V=\{v_1,v_2,...,v_n\}$. Each voter ranks all of the candidates (e.g. \$v_1: c_1 \succ c_2 \succ c_3 \succ \dots \succ ...