Lucasvb

Joined 14 June 2019
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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.
 
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''.
 
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/AOn visualizationthe commensurability of Condorcetratings methodsand rankings|AOn visualizationthe commensurability of Condorcetratings and methodsrankings]]
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* [[User:Lucasvb/Uncertainty in cardinal voting vs. ranked voting|Uncertainty in cardinal voting vs. ranked voting]]
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* [[Space of possible elections]]
* [[Visual explanation of the Condorcet method]]
* [[Dimensional limitations of the spatial model]]
* [[Visual explanation of cardinal voting]]
 
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* [[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/
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