User:Lucasvb: Difference between revisions
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Hi, I'm Lucas. I tend to write a lot, especially about democracy and voting systems. I was invited to post some stuff to this wiki to serve as future reference to others. |
Hi, I'm Lucas. I tend to write a lot, especially about democracy and voting systems. I was invited to post some stuff to this wiki to serve as future reference to others. |
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Contrary to most people who seem to engage with voting system theory, I prefer to take a much more cultural and almost anthropological or philosophical approach to the subject. |
Contrary to most people who seem to engage with voting system theory, I prefer to take a much more cultural and almost anthropological or philosophical approach to the subject, but also heavily relying on mathematics beyond social choice theory (mostly decision theory). |
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My perspective is about '''''what''''' we are trying to achieve by the process of ''making collective decisions'', '''''why''''' such processes are desirable to begin with, and '''''how''''' different voting systems reflect those goals and principles. |
My perspective is about '''''what''''' we are trying to achieve by the process of ''making collective decisions'', '''''why''''' such processes are desirable to begin with, and '''''how''''' different voting systems reflect those goals and principles. |
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My formal, mathematical approach to voting system analysis is based on <math>N</math>-dimensional (with <math>N \ge 4</math>), ''absolute'' political opinion spaces and multidimensional population distributions, and all voters have inherently fuzzy opinions and utilities. To me, candidates, parties and voting systems are merely ''means to an end'', so without having a clear notion of ''what the end is'', we cannot hope to find the ''best means''. |
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This perspective of mine underlies most of the content I post here. |
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== Opinion pieces == |
== Opinion pieces == |
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* [[User:Lucasvb/An upgrade to the spatial model of voters|An upgrade to the spatial model of voters]] |
* [[User:Lucasvb/An upgrade to the spatial model of voters|An upgrade to the spatial model of voters]] |
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* [[User:Lucasvb/Majority and consensus under ordinal and cardinal perspectives|Majority and consensus under ordinal and cardinal perspectives]] |
* [[User:Lucasvb/Majority and consensus under ordinal and cardinal perspectives|Majority and consensus under ordinal and cardinal perspectives]] |
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* [[User:Lucasvb/On the commensurability of ratings and rankings|On the commensurability of ratings and rankings]] |
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* [[User:Lucasvb/Uncertainty in cardinal voting vs. ranked voting|Uncertainty in cardinal voting vs. ranked voting]] |
* [[User:Lucasvb/Uncertainty in cardinal voting vs. ranked voting|Uncertainty in cardinal voting vs. ranked voting]] |
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* [[Space of possible elections]] |
* [[Space of possible elections]] |
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* [[Visual explanation of the Condorcet method]] |
* [[Visual explanation of the Condorcet method]] |
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* [[Dimensional limitations of the spatial model]] |
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* [[Visual explanation of cardinal voting]] |
* [[Visual explanation of cardinal voting]] |
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* [[w:Detection theory|(Signal) detection theory]] |
* [[w:Detection theory|(Signal) detection theory]] |
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* [[w:Stochastic_dominance|Stochastic dominance]] |
* [[w:Stochastic_dominance|Stochastic dominance]] |
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* [[w:Item_response_theory|Item response theory]] |
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* [[w:Poisson_games|Poisson games]] |
* [[w:Poisson_games|Poisson games]] |
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* [[w:Aumann%27s_agreement_theorem|Aumann's_agreement_theorem]] |
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* [https://scholar.google.com/citations?user=HZiIviEAAAAJ&hl=en&oi=sra Peter J. Hammond's published works] |
* [https://scholar.google.com/citations?user=HZiIviEAAAAJ&hl=en&oi=sra Peter J. Hammond's published works] |
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* [https://scholar.google.com/scholar?start=10&q=R.+Duncan+Luce R. Duncan Luce's published works] |
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* [https://www.sciencedirect.com/science/article/abs/pii/S0899825697906102 "Extended Poisson Games and the Condorcet Jury Theorem"] |
* [https://www.sciencedirect.com/science/article/abs/pii/S0899825697906102 "Extended Poisson Games and the Condorcet Jury Theorem"] |
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* https://fivethirtyeight.com/features/donald-trump-is-the-nickelback-of-gop-candidates/ |
* https://fivethirtyeight.com/features/donald-trump-is-the-nickelback-of-gop-candidates/ |
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Latest revision as of 03:14, 5 February 2023
Hi, I'm Lucas. I tend to write a lot, especially about democracy and voting systems. I was invited to post some stuff to this wiki to serve as future reference to others.
Contrary to most people who seem to engage with voting system theory, I prefer to take a much more cultural and almost anthropological or philosophical approach to the subject, but also heavily relying on mathematics beyond social choice theory (mostly decision theory).
My perspective is about what we are trying to achieve by the process of making collective decisions, why such processes are desirable to begin with, and how different voting systems reflect those goals and principles.
Opinion pieces
The articles below reflect my own opinions, although I will strive to be as objective as possible on this matter.
(Articles in red haven't been written yet.)
- An upgrade to the spatial model of voters
- Majority and consensus under ordinal and cardinal perspectives
- On the commensurability of ratings and rankings
Guides
The following guides attempt to explain (in details) how different voting systems satisfy various personal principles and goals with respect to politics and society.
These are meant as a different and more relatable approach than the arbitrary mathematical criteria or numerical simulation take in the formal literature.
Articles
- Reciprocal Score Voting
- Space of possible elections
- Visual explanation of the Condorcet method
- Dimensional limitations of the spatial model
- Visual explanation of cardinal voting
Useful links
- Decision theory (a much more appropriate framework to study voting methods than the limited approach in social choice theory)
- Mechanism design
- McKelvey–Schofield chaos theorem
- Rank reversals in decision-making
- Multiple-criteria decision analysis
- Multi-attribute utility
- Operations research
- Revelation principle
- Category:Decision-making paradoxes
- Law of comparative judgement
- (Signal) detection theory
- Stochastic dominance
- Item response theory
- Poisson games
- Aumann's_agreement_theorem
- Peter J. Hammond's published works
- R. Duncan Luce's published works
- "Extended Poisson Games and the Condorcet Jury Theorem"
- https://fivethirtyeight.com/features/donald-trump-is-the-nickelback-of-gop-candidates/
- https://electionscience.org/commentary-analysis/voting-method-pollsters-struggle-as-republicans-field-enough-candidates-to-fill-two-baseball-teams/