Local global equivalence for unanimous social choice functions
Games and Economic Behavior
We identify a condition on preference domains that ensures that every locally strategy-proof and unanimous random social choice function is also strategy-proof. Furthermore every unanimous, locally strategy-proof deterministic social choice function is also group strategy-proof. The condition identified is significantly weaker than the characterization condition for local-global equivalence without unanimity in Kumar et al. (2020). The condition is not necessary for equivalence with unanimous random/deterministic social choice functions. However, we show the weaker condition of connectedness remains necessary.
Kumar, Ujjwal; Roy, Souvik; Sen, Arunava; Yadav, Sonal; and Zeng, Huaxia, "Local global equivalence for unanimous social choice functions" (2021). Journal Articles. 1736.