Every social choice can be implemented honestly in Nash equilibrium.
The article explores how social choices can be made based on both consequences and honesty preferences. In settings with complete information and three or more agents, any social choice can be implemented in Nash equilibrium. This is different from traditional models where only consequence preferences matter. In incomplete information settings with two or more agents, any social choice function can be implemented in Bayesian Nash equilibrium using a universal mechanism that doesn't rely on specific details of private signals.