First popularized in the 1951 book "Social Choice and Individual Values", the original version of this result had axioms including transitivity and independence of irrelevant alternatives.
Amartya Sen criticized it for its implicit assumption that the utility functions of different individuals were incomparable, and that therefore only ordinal preferences could be used as input. Gibbard and Satterthwaite replaced several of its axioms by one requiring nonmanipulability of the system in question, but still reached the same final conclusion. First popularized in the 1951 book "Social Choice and Individual Values", the original version of this result had axioms including transitivity and independence of irrelevant alternatives. FTP what is this result that states that the only voting system satisfying certain axioms is a dictatorship?
Amartya Sen criticized it for its implicit assumption that the utility functions of different individuals were incomparable, and that therefore only ordinal preferences could be used as input.
{Arrow}'s {Impossibility }Theorem