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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.

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.)

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.

Is Instant-Runoff Voting the right voting system for you?

Articles

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/

@@ Line 1: / Line 1: @@
 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.
+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.
-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. 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''.
-This perspective of mine underlies most of the content I post here.
 == 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/Majority and consensus under ordinal and cardinal perspectives|Majority and consensus under ordinal and cardinal perspectives]]
+* [[User:Lucasvb/On the commensurability of ratings and rankings|On the commensurability of ratings and rankings]]
+<!--
+* [[User:Lucasvb/Uncertainty in cardinal voting vs. ranked voting|Uncertainty in cardinal voting vs. ranked voting]]
+* [[User:Lucasvb/Comparative scales and score voting|Comparative scales and score voting]]
 * [[User:Lucasvb/Utilitarianism is dead. Long live utilitarianism!|Utilitarianism is dead. Long live utilitarianism!]]
 * [[User:Lucasvb/Why Instant-Runoff Voting is only doubling down on the problems of First Past the Post|Why Instant-Runoff Voting is only doubling down on the problems of First Past the Post]]
@@ Line 23: / Line 24: @@
 * [[User:Lucasvb/Effects of potential voting behaviors under score voting|Effects of potential voting behaviors under score voting]]
 * [[User:Lucasvb/Rating as an interface: How rating candidates is different and more meaningful than rating products|Rating as an interface: How rating candidates is different and more meaningful than rating products]]
-* [[User:Lucasvb/Drawing lines in the sand: How ranked voting is inherently divisive|Drawing lines in the sand: How ranked voting is inherently divisive]]
 * [[User:Lucasvb/The space of political opinions: Why traditional labels paint the wrong picture about what others think|The space of political opinions: Why traditional labels paint the wrong picture about what others think]]
+-->
 === Guides ===
@@ Line 33: / Line 34: @@
 * [[User:Lucasvb/Is Instant-Runoff Voting the right voting system for you?|Is Instant-Runoff Voting the right voting system for you?]]
+<!--
 * [[User:Lucasvb/Is Approval Voting the right voting system for you?|Is Approval Voting the right voting system for you?]]
 * [[User:Lucasvb/Is Score Voting the right voting system for you?|Is Score Voting the right voting system for you?]]
 * [[User:Lucasvb/Is a Condorcet Method the right voting system for you?|Is a Condorcet Method the right voting system for you?]]
+-->
 == 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 ==
+* [[w:Decision_theory|Decision theory]] (a much more appropriate framework to study voting methods than the limited approach in social choice theory)
+* [[w:Mechanism design|Mechanism design]]
+* [[w:McKelvey–Schofield chaos theorem|McKelvey–Schofield chaos theorem]]
+* [[w:Rank_reversals_in_decision-making|Rank reversals in decision-making]]
+* [[w:Multiple-criteria_decision_analysis|Multiple-criteria decision analysis]]
+* [[w:Multi-attribute_utility|Multi-attribute utility]]
+* [[w:Operations_research|Operations research]]
+* [[w:Revelation principle|Revelation principle]]
+* [[w:Category:Decision-making_paradoxes|Category:Decision-making paradoxes]]
+* [[w:Law_of_comparative_judgment|Law of comparative judgement]]
+* [[w:Detection theory|(Signal) detection theory]]
+* [[w:Stochastic_dominance|Stochastic dominance]]
+* [[w:Item_response_theory|Item response theory]]
+* [[w:Poisson_games|Poisson games]]
+* [[w:Aumann%27s_agreement_theorem|Aumann's_agreement_theorem]]
+* [https://scholar.google.com/citations?user=HZiIviEAAAAJ&hl=en&oi=sra Peter J. Hammond's published works]
+* [https://scholar.google.com/scholar?start=10&q=R.+Duncan+Luce R. Duncan Luce's published works]
+* [https://www.sciencedirect.com/science/article/abs/pii/S0899825697906102 "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/
+<!--
+https://en.wikipedia.org/wiki/Multi-armed_bandit
+-->