# On the Relevance of Theoretical Results to Voting System Choice

@inproceedings{Nurmi2012OnTR, title={On the Relevance of Theoretical Results to Voting System Choice}, author={Hannu Nurmi}, year={2012} }

The first systematic comparisons of voting procedures appeared in the 1970’s. The journal Behavioral Science became a major forum for these early publications. Especially notable are the article by Fishburn (1971) and a series of works by Jeffrey T. Richelson. This series culminated in a summary (Richelson 1979) that is perhaps the most extensive of its kind in terms of both the number of systems and the number of criteria.

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#### References

SHOWING 1-10 OF 60 REFERENCES

An assessment of voting system simulations

- Economics
- 1992

In applying the results of the social choice theory to voting procedures, the question arises as to how often the various anomalies can be expected to occur. Computer simulations and probability… Expand

A comparative-analysis of social choice functions, I, II, III: A summary

- Economics
- 1979

In two previous papers (Richelson, 1975, 1978a) six voting systems were examined with respect to 15 criteria that it has been suggested such voting systems should satisfy. The third paper (Richelson,… Expand

A Computer Simulation of the Paradox of Voting

- Economics
- 1966

This paper presents estimates of the probability that the occurrence of the Paradox of Voting,' commonly known as Arrow's Paradox, will prevent the selection of a majority issue when odd-sized… Expand

On the probability of electing the Condorcet

- Economics
- 1993

Abstract We investigate the propensity of some simple voting systems to elect the Condorcet loser in three-alternative elections. Exact relations are obtained which give the probability of this… Expand

Review of paradoxes afflicting various voting procedures where one out of m candidates (m ≥ 2) must be elected

- Political Science
- 2010

The paper surveys 17 deterministic electoral procedures for selecting one out of two or more candidates, as well as the susceptibility of each of these procedures to various paradoxes. A detailed… Expand

Making Multicandidate Elections More Democratic

- Political Science
- 2014

This book addresses a significant area of applied social-choice theory--the evaluation of voting procedures designed to select a single winner from a field of three or more candidates. Such… Expand

Voting and the Summation of Preferences: An interpretive Bibliographical Review of Selected Developments During the Last Decade

- 1961

87 The difficulties of building, operationalizing, and testing mathematical models of political phenomena-particularly the difficulties engendered by lack of relevant data-have been discussed by… Expand

Discrepancies in the outcomes resulting from different voting schemes

- Economics
- 1988

It is well-known that different social choice procedures often result in different choice sets. The article focuses on how often this is likely to happen in impartial cultures. The focus is on Borda… Expand

Sophisticated voting outcomes and agenda control

- Computer Science, Mathematics
- 1984

The uncovered set, as first defined by Miller (1980), is shown to be potentially reducible, and conditions are determined for which this reduction equals the set of sophisticated voting outcomes. Expand

Condorcet's paradox

- Economics, Philosophy
- 1983

Elections and Voting Paradoxes.- Condorcet's Paradox.- The Cases of Two and Three Candidates.- The Case of More than Three Candidates.- The Impact of Societal Factors.- The Impact of Coherent… Expand