Social choice theory uses mathematical methods to study different methods by which collectives can try to make decisions that reflect the preferences of the individuals that make up those collectives. It is a powerful way to study democratic ideals, because by using well defined mathematical ideas, it is possible to generalise over large numbers of different possible voting techniques.
These first two videos get things started by explaining
- Some of the notation that is often used in explaining social choice ideas
- The idea of a Condorcet poll
- The distinction between a social welfare function and a collective choice rule
and a few other basics. More advanced videos to follow soon.