We study deterministic voting mechanisms by considering an ordinal notion of Bayesian incentive compatibility (OBIC). If the beliefs of agents are independent and generic, we show that any OBIC mechanism is dominant strategy incentive compatible under an additional mild requirement. Our result...

We consider social choice functions (SCFs) that are locally robust ordinal Bayesian incentive compatible (LOBIC) with respect to correlated priors. We model such priors using a betweenness property and assume the coexistence of both positively and negatively correlated priors. We introduce the...

We consider voting rules on a multidimensional policy space for a continuum of voters with elliptic preferences. Assuming continuity, gamma -strategy-proofnessmeaning that coalitions of size smaller or equal to a small number gamma cannot manipulateand unanimity, we show that such rules are...