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 explore the consequences of weakening the notion of incentive compatibility from strategy-proofness to ordinal Bayesian incentive compatibility (OBIC) in the random assignment model. If the common prior of the agents is a uniform prior, then a large class of random mechanisms are OBIC with...