Tightened up the “God’s MSE decomposition” section. Almost ready for the big reveal of how this connects to a larger philosophy of assigning responsibility, in a way that I think could be of interest far beyond voting.
Starting to get to the fun ideas! Hooray! But I’m probably still probably only about halfway done with the “theory” section, which means I’m probably only 30-40% done with the entire thing.
Beginning “a proposed solution” but it’s slow going — haven’t actually gotten to the solution part of the solution yet. Also wrote a bit more above on what “MSE” means in this context — it’s less intiutive than you might think when you first read the acronym.
OK, I think I’m “over the hump”. That is, there’s still plenty left to write and plenty of details left to work out, but I think that an ideal reader could begin to see the light at the end of the tunnel, could begin to grasp the overall scale and shape of what I’m trying to do here. I’m going to ping again.
Rewritten to reflect Thomas Sepulchre’s contribution. Which is awesome, by the way.
Or in other words...
V 0.5.1: the main changes since the previous version 0.5.0 are a complete rewrite of the “Tentative Answer” section based on a helpful comment by a reader here, with further discussion of that solution; including the new Shorter “Solution” Statement subsection. I also added a sketch to visualize the loss I’m using.
V 0.5.4: Meaningful rewrite to “Shorter “solution” statement”, which focuses not on power to elect an individual, but power to elect some member of a set, of whom only 1 won in reality.
V 0.5.5: wrote a key paragraph about NESS: similar outcomes just before Pascal’s Other Wager? (The Problem of Points). Added the obvious normalizing constant so that average voter power is 1. Analyzed some simple plurality cases in Retrospective voting power in single-winner plurality.
V 0.6.0: Coined the term “Representational Fairness” for my metric. Did a worked example of Single transferrable vote (STV), and began to discuss the example. Bumping version because I’m now beginning to actually discuss concrete methods instead of just abstract metrics.
V 0.7.0: Switched from “Representational Fairness” to the more-interpretable “Vote Wastage”. Wrote enough so that it’s possible to understand what I mean by VW, but this still needs revision for clarity/convincingness. Also pending, change my calculations for specific methods from RF to VW.
V 0.7.1: added a digression on dimesionality, in italics, to the “Measuring “Representation quality”, separate from power” section. Finished converting the existing examples from RF to VW.
V 0.7.2: A terminology change. New terms: Retroactive Power, Effective Voting Equality, Effective Choice, Average Voter Effectiveness. (The term “effective” is a nod toCatherine Helen Spence). The math is the same except for some ultimately-inconsequential changes in when you subtract from 1. Also, started to add a closed list example from Israel; not done yet.
V0.7.3 Still tweaking terminology. Now, Vote Power Fairness, Average Voter Choice, Average Voter Effectiveness. Finished (at least first draft) of closed list/Israel analysis.
V0.9.1: Another terminology tweak. New terms: Average Voter Effectiveness, Average Voter Choice, Average Voter Effective Choice. Also, post-mortem will happen in a separate document. (This same version might later be changed to 1.0)
Added a few paragraphs, but I still haven’t gotten to the interesting stuff; just still laying the groundwork.
More, but overall status same.
Added second section near top to explain where I’m intending to go with all of this.
Added a section on God’s proportional voting method.
Began a section on God’s MSE decomposition, but it’s very very sketchy still.
Tightened up the “God’s MSE decomposition” section. Almost ready for the big reveal of how this connects to a larger philosophy of assigning responsibility, in a way that I think could be of interest far beyond voting.
Starting to get to the fun ideas! Hooray! But I’m probably still probably only about halfway done with the “theory” section, which means I’m probably only 30-40% done with the entire thing.
A bit of polishing of existing parts; skeleton headings for remainder
Began the “allocating responsibility” section.
Fleshing out “allocating responsibility” and beginning “Pascal’s other wager”.
Beginning “a proposed solution” but it’s slow going — haven’t actually gotten to the solution part of the solution yet. Also wrote a bit more above on what “MSE” means in this context — it’s less intiutive than you might think when you first read the acronym.
OK, I think I’m “over the hump”. That is, there’s still plenty left to write and plenty of details left to work out, but I think that an ideal reader could begin to see the light at the end of the tunnel, could begin to grasp the overall scale and shape of what I’m trying to do here. I’m going to ping again.
Rewritten to reflect Thomas Sepulchre’s contribution. Which is awesome, by the way.
Or in other words...
V 0.5.1: the main changes since the previous version 0.5.0 are a complete rewrite of the “Tentative Answer” section based on a helpful comment by a reader here, with further discussion of that solution; including the new Shorter “Solution” Statement subsection. I also added a sketch to visualize the loss I’m using.
Version 0.5.2: Added “Equalizing voter power” and “Measuring “Representation quality”, separate from power” sections.
V 0.5.3: Added “Bringing it all together” (85% complete)
V 0.5.4: Meaningful rewrite to “Shorter “solution” statement”, which focuses not on power to elect an individual, but power to elect some member of a set, of whom only 1 won in reality.
V 0.5.5: wrote a key paragraph about NESS: similar outcomes just before Pascal’s Other Wager? (The Problem of Points). Added the obvious normalizing constant so that average voter power is 1. Analyzed some simple plurality cases in Retrospective voting power in single-winner plurality.
V 0.6.0: Coined the term “Representational Fairness” for my metric. Did a worked example of Single transferrable vote (STV), and began to discuss the example. Bumping version because I’m now beginning to actually discuss concrete methods instead of just abstract metrics.
V 0.7.0: Switched from “Representational Fairness” to the more-interpretable “Vote Wastage”. Wrote enough so that it’s possible to understand what I mean by VW, but this still needs revision for clarity/convincingness. Also pending, change my calculations for specific methods from RF to VW.
V 0.7.1: added a digression on dimesionality, in italics, to the “Measuring “Representation quality”, separate from power” section. Finished converting the existing examples from RF to VW.
V 0.7.2: A terminology change. New terms: Retroactive Power, Effective Voting Equality, Effective Choice, Average Voter Effectiveness. (The term “effective” is a nod to Catherine Helen Spence). The math is the same except for some ultimately-inconsequential changes in when you subtract from 1. Also, started to add a closed list example from Israel; not done yet.
V0.7.3 Still tweaking terminology. Now, Vote Power Fairness, Average Voter Choice, Average Voter Effectiveness. Finished (at least first draft) of closed list/Israel analysis.
V0.9: I decided to make a few final edits (mostly, adding a summary and a post-mortem section, which is currently unfinished) then freeze this as is.
(This was done some time ago but I forgot to post it here.)
V0.9.1: Another terminology tweak. New terms: Average Voter Effectiveness, Average Voter Choice, Average Voter Effective Choice. Also, post-mortem will happen in a separate document. (This same version might later be changed to 1.0)