In the standard arrovian framework and under the assumptions that individual preferences and social outcomes are linear orders over the set of alternatives, we provide necessary and sufficient conditions for the existence of anonymous, neutral and reversal symmetric rules and for the existence...

In the standard arrovian framework and under the assumptions that individual preferences and social outcomes are linear orders over the set of alternatives, we provide necessary and sufficient conditions for the existence of anonymous and neutral rules and for the existence of anonymous and...

Assuming that alternatives are three or more, we prove that if the set of anonymous, neutral and reversal symmetric minimal majority rules is nonempty, then it has at least two elements. We propose then further principles linked to equity and fairness that can be used to exclude some rules in...

In the standard arrovian framework and under the assumption that individual preferences and social outcomes are linear orders on the set of alternatives, we study the rules which satisfy suitable symmetries and obey the majority principle. In particular, supposing that individuals and...