Democracy might look like a straightforward process: whatever is the option preferred by the group should be the chosen option. But what does it mean to be the preferred option by the group? To answer this question, several voting systems (Condorcet's method, plurality voting, Borda count...), each with its advantages and disadvantages, have been proposed.
As it has become clear in current times, how we vote influences radically the outcome of the election process. Can't we just choose the objectively best possible voting system? In this talk, we will see what mathematics has to say about this.