We consider a general social choice environment that has multiple agents, a finite set of alternatives, independent types, and atomless type distribution. We show that for any Bayesian incentive compatible mechanism, there exists an equivalent deterministic mechanism that (1) is Bayesian...

We study a general social choice environment that has multiple agents, a finite set of alternatives, and independent and diffuse information. We show that for any Bayesian incentive compatible mechanism, there exists a deterministic mechanism that i) is Bayesian incentive compatible; ii) delivers...