What I claim, is that with enough agenda setting manipulation you can nullify the properties of any voting system.
In my opinion, SV-PAYW is the best "voting system" available, but the mechanism has been analyzed under explicit hypoteses on the randomness of issues to be voted. The stream of political issues (represented by the valuation of the participants of an electoral victory) is supposed to be stochastic i.i.d.
If "deporting rationalists" is possible, and rationalists are not more than half of people, I don't see what security can they receive under any electoral system. If you can vote "disefranchise group X", then any minority group can be removed from the political system.
I was about to say that I explicitely deal with that issue on "the ideal political workflow", but there is nothing to deal with.
Well, if rationalists are a minority, with no external limits on the agenda, they can be deported anyway.
I only have considered a case with external agenda setting (issues with variable relevance exogenously arrive), as is typical to turn voting into a mathematical problem.
The second paper is about the context of voting systems. What I argue there is that the structure of the voting space is more important than the voting system.
What shall people vote? They shall vote among feasible states of the world.
This is the QV and I find it wrong. With money, at the end pivotal votes are only those of the largest money owners. Who can give money for collective choices? Those that can recover it, because their wealth is so large than individual consequences of collective decision is individually profitable. Keeping the political system separated from general purpose currency is critical (the Casella and Mace review agrees). The system as described in the paper is totally parallel to currency, while it works like it in the sense that you only pay votes when you get your alternative.
In SV PAYW the fixed number of votes is redistributed among voters after any election (votes casted in the winning alternative are those “payed”) in a one-vote one-man way. Even with no new votes for new players (and the votes from the dead are available for redistribution), new voters receive votes from the winners of each election.
A final remark: SV PAYW is more spectacular, but “the ideal political workflow” is more important.
People spend more votes on what they value more. In the original Casella system, every vote you cast, you lose it; my contribution was that you are only charged the votes casted in the winning alternative.
Absolutely incredible nobody suggested this before.
I still recommend you to read (and comment) the second pre- print.
Thank you to everybody for commenting!!
This is the whole point of the mechanism. To allocate victories to those who value them more. In the model there is a stochastic flow of issues with stochastic importance for both players.
The idea is that this system allocates victories to those who value them more.
How durable is money? In this version there is a fixed amount of votes circulating among voters, and votes can be stored indefinitely.
Of course, if this model were successful, versions with “storage costs” could be considered. Let 1000 flowers blossom!
I am no longer a gifted analyst, but I seriously doubt this. Differential games are well known, with their marvelous fixed point theorems and all the stuff.
In fact, if votes are not divisible you have to lot them, , as you can see in the (clumsy but tractable) discrete version I have analyzed in the paper.
SV PAYW is mainly designed for people to signal both intensity and direction of preferences. My opinion is that it is close to optimal to create conditions for truth telling of preferences.
In the situation considered in the paper there are only two players, so they know how many votes have themselves and the other player and the previous sequence of votes. The “incomplete information” situation means that the true value of wining in a given round is public.
While the voting system is very general, the situation considered is very simple, so recursive Nash equilibrium can be computed and simulated.
As commented in the second paper, unfortunately the big question is how to vote, but to create a meaning vote space… the question “what to vote” is in my view the most important. See “the ideal political workflow”.
"So it's compatibilist free will, and having a quale of libertarian free will doesn't change that"
Well, in fact the whole point was to legitimize the quale of libertarian free will (as a Hamiltonian, not as a unicorn), so I think at this point all our differences are reconciled :-)
Dear Jameson, as you say the theme is extremely important, but I miss more about Storable Votes: one period Arrovian results deeply change in dynamic voting scenarios. I have recently written two articles about this: one has been published in Journal of Economic Interaction and Coordination, the other is still a pre-print:
https://www.lesswrong.com/posts/5wqFoHBBgpdHeCLS6/storable-votes-with-a-pay-as-you-win-mechanism-a
I also suggest you to read the Casella and Mace review about “vote trading” (there a is Journal version, here you have the pre-print):
https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3680422