# Approval voting: three examples

@article{Sinopoli2006ApprovalVT, title={Approval voting: three examples}, author={Francesco De Sinopoli and Bhaskar Dutta and Jean-François Laslier}, journal={International Journal of Game Theory}, year={2006}, volume={35}, pages={27-38} }

In this paper we discuss three examples of approval voting games. The first one illustrates that a stronger solution concept than perfection is needed for a strategic analysis of this type of games. The second example shows that sophisticated voting can imply that the Condorcet winner gets no vote. The third example shows the possibility of insincere voting being a stable equilibrium.

## 48 Citations

Dominance solvable approval voting games

- Economics, Computer Science
- 2017

This work provides necessary and sufficient conditions for the dominance solvability of approval voting games and proves that the most stringent version leads to the election of the set of Condorcet Winners whereas this need not be the case for the weak version.

Sincere Scoring Rules

- Economics
- 2010

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…

Condorcet Consistency of Approval Voting: a Counter Example in Large Poisson Games

- Economics
- 2010

Approval Voting is analyzed in a context of large elections with strategic voters: the Myerson’s Large Poisson Games. We first establish the Magnitude Equivalence Theorem which substantially reduces…

A study of Approval voting on Large Poisson Games

- Economics
- 2007

Approval voting features are analysed in a context of large elections with strategic voters: Myerson's Large Poisson Games. I first establish the Magnitude Equiva- lence Theorem (MET) which…

A Map of Approval Voting Equilibra Outcomes

- Economics
- 2015

It is commonly accepted that the multiplicity of equilibria is ubiquitous in preference aggregation games with any voting method. We prove that this mul- tiplicity is greatly reduced under some mild…

ON THE SUPERIORITY OF APPROVAL VS PLURALITY: A COUNTEREXAMPLE*

- Economics
- 2011

We present a simple voting environment where the Condorcet winner exists. Under plurality rule, the derived game has a stable set where such a candidate is elected with probability one. However, no…

The Basic Approval Voting Game

- Economics
- 2010

There is a vast literature which conceives Approval Voting as a mechanism where the approval of voters is a mere strategic action with no intrinsic meaning. As usual, a group of voters who have…

Counterexamples on the superiority of approval versus plurality

- Economics
- 2014

We present a simple voting environment with three candidates where the Condorcet winner exists. Under plurality rule, the derived game has a stable set where such a candidate is elected with…

A MODEL OF STRATEGIC APPROVAL VOTING IN A LARGE ELECTORATE

- Economics
- 2009

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…

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