We consider voting rules on a multidimensional policy space for a continuum of voters with elliptic preferences. Assuming continuity, gamma-strategy-proofness-meaning that coalitions of size smaller or equal to a small number gamma cannot manipulate-and unanimity, we show that such rules are decomposable into one-dimensional rules. Requiring, additionally, anonymity leads to an impossibility result. The paper can be seen as an extension of the model of Border and Jordan (1983) to a continuum of voters. Contrary, however, to their finite case where single voters are atoms, in our model with nonatomic voters even a small amount of strategy-proofness leads to an impossibility.
|Number of pages
|SERIEs : Journal of the Spanish Economic Association
|Published - Dec 2011
- Strategy-proof voting
- Continuum of voters
- Multidimensional policy space
- Elliptic preferences