This talk will be an introduction to Social Choice Theory, which analyses methods to combine preferences of large number of voters to obtain a result that is fair . We will define some reasonable conditions for fairness, and prove the Arrows Impossibility theorem which states that no voting system can satisfy all these conditions.
References: This theory has been used to analyse an alternative voting scheme in UK, where a recent referendum about it was held
Amartya Sen's Nobel Lecture
Proof of Arrows Theorem