A simple characterization of majority rule

  title={A simple characterization of majority rule},
  author={D. E. Campbell and J. Kelly},
  journal={Economic Theory},
Summary. Assuming an odd number of voters, E. S. Maskin recently provided a characterization of majority rule based on full transitivity. This paper characterizes majority rule with a set of axioms that includes two of Maskin's, dispenses with another, and contains weak versions of his other two axioms. It allows the number of voters to be odd or even. 
A new characterization of the majority rule
A seminal paper by May [Econometrica 20 (1952) 680] characterizes the majority rule in terms of anonymity, neutrality, and positive responsiveness. Whereas the former two axioms are natural andExpand
On a continuous majority rule
  • W. Kim, K. Lee
  • Computer Science, Mathematics
  • Int. J. Math. Math. Sci.
  • 2005
The concept of a continuous majority rule which generalizes the previous social welfare functions beyond the discrete values is introduced, and using new axioms, a characterization of the continuousmajority rule is given. Expand
On the Robustness of Majority Rule
We show that simple majority rule satisfies five standard and attractive axioms-the Pareto property, anonymity, neutrality, independence of irrelevant alternatives, and (generic) decisiveness-over aExpand
Parity dependence of a majority rule characterization on the Condorcet domain
If the number of individuals is odd, majority rule is the only non-dictatorial strategy-proof social choice rule on the domain of linear orders that admit a Condorcet winner (Campbell and Kelly,Expand
Another characterization of the majority rule
Abstract Given any (finite) society confronting two alternatives, May [Econometrica 20 (1995) 680] characterizes the majority rule in terms of anonymity, neutrality and positive responsiveness. ThisExpand
A complete characterization of majority rules
Abstract Given finite society and any set of alternatives, we characterize the majority rule and weak majority rule in terms of anonymity, IIA, neutrality, and positively responsive property.
Characterizing majority rule: from profiles to societies
Abstract K. May characterized majority rule as a function satisfying anonymity, neutrality, and responsiveness. Recent work criticized his characterization and opened the way to the introduction ofExpand
The information simplicity of scoring rules
It is proved that, within such a plethora of procedures, scoring rules are singled out by a property related to their informational simplicity: in order to determine the winner, they do not take into account the specific distribution of scores chosen by each voter. Expand
The majority rule with a chairman
  • A. Quesada
  • Economics, Computer Science
  • Soc. Choice Welf.
  • 2013
An axiomatization of the relative majority rules with a chairman is suggested that holds for an even number of individuals and that characterizes the rules that are either the relativemajority rule or a relative majority rule with a Chairman. Expand
The forgotten decision rules: Majority rules based on difference of votes
Some interesting properties of a class of decision rules located between simple and unanimous majorities, based on difference of votes, are pointed out by means of cancellation and decisiveness. Expand


The problem of aggregating individual preference orderings to form a social ordering took a new turn when Arrow organized the subject abstractly. We study here his celebrated theorem that fiveExpand
Geometry of voting
It is shown how simple geometry can be used to analyze and discover new properties about pairwise and positional voting rules as well as for those rules (e.g., runoffs and Approval Voting) that relyExpand
A Possibility Theorem on Majority Decisions