Results on how frequently social decision schemes violate desirable properties

Results of our study on how frequently social decision schemes (SDSs) violate desirable properties under stochastic dominance. The examined SDSs are Random Serial Dictatorship (RSD) and Maximal Lottery (ML).It was previously shown that efficiency and strategyproofness are incompatible under the assumption of some basic fairness conditions.We consider efficiency, strategyproofness, monotonicity, very strong participation, envy-freeness on the assignment domain and give a support size analysis for ML.