Alternative Voting Methods

 Tutorial and essays       

by James Green-Armytage       

 

Contents

Research papers: Strategic Voting and Nomination (draft)

General: Introduction, voting methods survey, definitions and criteria, recommendations

Proposals: Cardinal pairwise, delegable proxy: direct democracy, delegable proxy: representative democracy, collective budget-setting, iterative pairwise, reciprocal pairing, anti-strategy measures, debate-inclusion, computing CPO-STV

Argument essays: The strategic vulnerability of "margins" Condorcet, the value of first choice votes, an argument against Borda 

Links

 

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Recent work

 

Strategic Voting and Nomination (pdf)

       Although it's still an early draft, this is more recent than the other things on this page. Hopefully, it will eventually be part of my dissertation. I use simulations to estimate the relative strategic vulnerability of seven voting methods (plurality, two round runoff, alternative vote, minimax, Borda, range, and approval), given a spatial model of voter preferences.  

 

Unified Proxy Paper

       I wrote this in the spring of 2007 to combine ideas from the earlier direct democracy and representative democracy proxy papers (which are still both listed below), and to bring my ideas up to date a bit. I've written an outline for a new version, which could potentially make it into my dissertation as well, but for now, this is the most recent. It's not perfect, but I'm hoping that it's more to the point than earlier versions, and there may be some new ideas (to me, anyway), such as the emphasis on 'model voting' in section 2H as a bridge from current systems, and the more utopian 'continual recalculation of majority positions' in section 4.  

 

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General information about voting methods

 

Introduction

       This introduction to voting methods is intended to be readable by someone who is totally new to the field.

 

Voting Methods Survey

       This rather huge survey describes about forty of the most interesting single-winner and multiple-winner voting methods. The methods are often illustrated using numerical examples, and occasionally with nifty esoteric-looking diagrams. This page is the oldest on the site, so some of it may be slightly out of date, but it is still quite informative. 

 

Definitions and criteria

       A number of definitions and criteria that are useful for discussing and evaluating voting systems. Primary topics include majority rule, defeat strength, strategy, and continuity. Many of the key concepts are illustrated by numerical examples. 

 

Recommendations

       A brief index of my most-recommended methods for a few of the most basic voting situations. 

 

 

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Proposals:

 

Cardinal-Weighted Pairwise Comparison Proposal

       A new voting method that allows voters to both rank and rate the candidates, and thus to indicate which of their preferences are stronger than others. The method incorporates the ratings data into a Condorcet-efficient pairwise tally. The short version of the proposal is available in html and pdf formats. There is also a longer version of the proposal, which is slightly out of date in some respects, although it contains more detailed information and arguments than the shorter version. 

 

Direct Democracy by Delegable Proxy

       This paper introduces the delegable proxy system, which resolves the information paradox long associated with direct democracy. The paper describes the essential elements of a good delegable proxy system, as well as discussing a wide range of possible additions to and variations on the basic structure. This paper takes the place of an earlier proxy paper, which advocates a more specific proposal rather than explicitly leaving variable elements up to later choice.

 

Representation by Delegable Proxy

       A proposal in which a delegable proxy system determines the composition of legislative bodies, and the relative voting power of each legislator.

 

Collective Budget-Setting Proposal

       A direct-vote budget-setting algorithm based on STV, which allows voters to decide the point at which a project has received enough funding, that is, the point where they begin allocating money to another project. 

 

Iterative Pairwise Voting Procedure

       A proposal for a multiple-round voting procedure using Condorcet's method, for use primarily for voting in relatively small groups, such as voting within a legislature or council. Argues that the extra rounds are well worth the small additional cost, in that they provide a line of defense against strategic manipulation.

 

Reciprocal Pairing

       An attempt to apply some of the tools of voting methods to other areas... such as the interaction between a workforce and a job pool, college applications, and forming romantic relationships.

 

Anti-strategy measures

       A quick list of measures that have been proposed to reduce the vulnerability of Condorcet to the burying strategy.

 

Debate-Inclusion Voting

       A brief proposal for a Condorcet-STV hybrid to be used in deciding which candidates to include in a debate.

 

Computational conservation in CPO-STV

       First, I describe a series of shortcuts that can be used to make a full CPO-STV tally somewhat less computationally expensive. Second, I describe a slightly less thorough version of CPO-STV that would be even less expensive.

 

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argument essays:

 

The strategic vulnerability of "margins" Condorcet

       An argument against using "margins" methods in contentious public elections.   

 

The Value of First Choice Votes

       A pro-Condorcet argument that the position of one candidate on a ranked ballot derives significance from its relation to the position of other candidates.

 

An argument against the Borda count

       Several reasons why I don't think the Borda count should be taken seriously as an election method.

 

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Links

     A variety of helpful voting methods web sites

 

questions or comments? you can e-mail me at jarmyta (at) antioch-college.edu

you are also invited to visit my homepage