The Leader Rule

@article{Laslier2009TheLR,
  title={The Leader Rule},
  author={Jean-François Laslier},
  journal={Journal of Theoretical Politics},
  year={2009},
  volume={21},
  pages={113 - 136}
}
The article considers Approval Voting for a large population of voters. It is supposed that voters evaluate the relative likelihood of pairwise ties among candidates based on statistical information about candidate scores. This leads them to vote sincerely and according to a simple behavioral rule we call the `Leader Rule'. At equilibrium, if a Condorcet-winner exists, this candidate is elected. 
Sincere Scoring Rules
Approval Voting is shown to be the unique scoring rule that leads strategic voters to sincere behavior of three candidates elections in Poisson Games. However, Approval Voting can lead to insincere
Who Wins and Loses Under Approval Voting? An Analysis of Large Elections
TLDR
It is shown that for some utility profiles the authors can build an equilibrium in which all the viable candidates are tied for victory, and it is proved that the unique equilibrium winner is the Condorcet Winner.
Bad cycles in iterative Approval Voting
TLDR
Examples are shown showing the possibility of cycles with strong negative properties showing that such cycles persist if only a proportion of the voters adjust their ballot at each iteration and if their strategy changes when close ties occur.
Sincere, strategic, and heuristic voting under four election rules: An experimental study
We report on laboratory experiments on voting. In a setting where subjects have single peaked preferences we find that One-round voting and Two-round voting generate significant path dependent
The strategic sincerity of Approval voting
We show that Approval voting need not trigger sincere behavior in equilibrium of Poisson voting games and hence might lead a strategic voter to skip a candidate preferred to his worst preferred
Strategic voting in multi-winner elections with approval balloting: a theory for large electorates
TLDR
A theory of strategic voting in multi-winner elections with approval balloting is proposed, in which the first candidates according to the majority tournament relation are elected.
Strategic Voting under Committee Approval: A Theory
We propose a theory of strategic voting under “Commitee Approval”: a fixed-sized commitee of M members is to be elected; each voter votes for as many candidates as she wants, and the M candidates
Approval Voting in Large Electorates
The strategic analysis of voting rules has given some insight into the understanding of their properties. However, one can assert that these analyses are “too rich” in the sense that they show that a
In Silico Voting Experiments
This paper presents computer simulations of voting rules: Plurality rule, Approval voting and the Copeland and Borda rules, with voters voting sincerly or strategically. Different ways of generating
...
...

References

SHOWING 1-10 OF 48 REFERENCES
Strategic approval voting in a large electorate
The paper considers approval voting for a large population of voters. It is proven that, based on statistical information about candidate scores, rational voters vote sincerly. It is also proven that
A Theory of Voting Equilibria
A voting equilibrium arises when the voters in an electorate, acting in accordance with both their preferences for the candidates and their perceptions of the relative chances of various pairs of
Approval voting: three examples
TLDR
A stronger solution concept than perfection is needed for a strategic analysis of this type of games and the possibility of insincere voting being a stable equilibrium is shown.
Probabilistic Voting Theory
Acknowledgements 1. Majority rule and models of elections 2. Income redistribution and electoral equilibria 3. Properties of the redistributional equilibria 4. A more general election model 5.
Approval voting and the Poisson-Myerson environment
In this paper, new results are provided in the Poisson-Myerson framework. These results are shown to be helpful in the study of approval voting. Indeed, the Magnitude Equivalence Theorem (MET)
Approval voting with endogenous candidates
A theory of voting in large elections
One Person, Many Votes: Divided Majority and Information Aggregation
TLDR
This paper shows how this flaw can be addressed if voter preferences over candidates are sensitive to information, and shows that when information is the source of majority divisions, Approval Voting features a unique equilibrium with full information and coordination equivalence.
A live experiment on approval voting
This paper presents a large-scale experiment on the Approval Voting rule that took place during the 2002 French presidential election. We describe the experiment and its main results. The findings
...
...