Symmetry and impartial lotteries

Andy Mackenzie*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

A prize is to be awarded, so each candidate designates one of his peers on a ballot. The ballots determine the lottery that selects the winner, and impartiality requires that no candidate's choice of designee impacts his own chance of winning, removing incentives for strategic ballot submission. The primary results are (1) a characterization of all impartial rules that treat agents symmetrically as voters, and (2) a characterization of all impartial rules that treat agents symmetrically as candidates. Each rule in either class may be represented as a randomization over a finite set of simple rules. These results have immediate interpretation in a second context: the division of surplus among team members. Corollaries include the constant rule impossibility of Holzman and Moulin (2013), a new dictatorship impossibility, and the first axiomatic characterization of uniform random dictatorship.
Original languageEnglish
Pages (from-to)15-28
Number of pages14
JournalGames and Economic Behavior
Volume94
DOIs
Publication statusPublished - 1 Nov 2015
Externally publishedYes

JEL classifications

  • d82 - "Asymmetric and Private Information; Mechanism Design"
  • d63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
  • d71 - "Social Choice; Clubs; Committees; Associations"
  • d72 - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
  • m52 - Personnel Economics: Compensation and Compensation Methods and Their Effects

Keywords

  • symmetry
  • impartiality
  • name independence
  • voter anonymity
  • candidate neutrality

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