Probabilistic Evaluation of Preference Aggregation Functions: A Statistical Approach in Social Choice Theory

@inproceedings{Jansen2016ProbabilisticEO,
  title={Probabilistic Evaluation of Preference Aggregation Functions: A Statistical Approach in Social Choice Theory},
  author={Christoph Jansen and Georg Schollmeyer and Thomas Augustin},
  year={2016}
}
A statistical criterion for evaluating the appropriateness of preference aggregation functions for a fixed group of persons is introduced. Specifically, we propose a method comparing aggregation procedures by relying on probabilistic information on the homogeneity structure of the group members’ preferences. For utilizing the available information, we give a minimal axiomatization as well as a proposal for measuring homogeneity and discuss related work. Based on our measure, the group specific… 

Figures from this paper

References

SHOWING 1-10 OF 54 REFERENCES
Measuring the cohesiveness of preferences: an axiomatic analysis
TLDR
This paper provides axioms that characterize a family of linear and additive measures whose intersection is a partial ordinal criterion similar to first order stochastic dominance and characterize the focal measures of this subfamily separately showing that they coincide with measures constructed using two, at first sight, totally different approaches suggested in the literature.
Paradox of voting under an urn model: The effect of homogeneity
We propose a simple Pólya-variety urn model for calculating paradox-of-voting probabilities. The model contains a homogeneity parameter, and for specific values of this parameter the model reduces to
Group Decisions in the Face of Differences of Opinion
Suppose a number of honest, intelligent individuals differ in their rankings of a set of possible actions. They may do so because they have difierent objectives, or they may do so solely because they
Majority Decision-Making with Partial Unidimensionality*
A major dilemma for majority decision-making occurs when the summation of transitive individual preference orderings results in an intransitive social ordering. The problems posed by this phenomenon,
Condorcet Efficiency and Social Homogeneity
There are many different aspects of election procedures that might be studied. In general we might be concerned with the procedure by which an election will be held, the fairness of the procedure
Voter concordance, simple majorities, and group decision methods
This paper examines the effect of the degree of agreement among voters' preferences, as measured by the Kendall-Smith coefficient of concordance, on (1) the likelihood that one decision alternative
Measuring polarization in preferences
Behavioural social choice: a status report
TLDR
It is argued that the nature of preference distributions in electorates is ultimately an empirical question, which social choice theory has often neglected and which may substantially mar the conclusions of a number of papers in behavioural decision research.
...
...