On the possibility of reasonable consistent majoritarian choice: Some positive results

Strictly Majoritarian Social Choice Functions (SMSCFs) are such that the choice on an agenda can be defined with the knowledge of the simple majority relation on the agenda as the sole information. The possibility for SMSCFs to satisfy both the General Pareto condition and choice consistency conditions strong enough to be meaningful has been doubted. Here we exhibit three reasonable SMSCFs that do both. One of them can be interpreted as eliminating from the agenda all alternatives one can suspect of being Pareto dominated by some other. We compare some of their properties with those of the SMSCFs already known in the literature.