Social Choice Theory - Arrow's theorem

This video explains the strategy used in Arrow's proof, to construct a set of preferences in which one voter is a "dictator". The video does not suffice to fully explain all the steps in the original, rigorous mathematical proof, but it at least should convey the underlying idea: how transitivity, unanimity, and the independence of irrelevant alternatives, combine to yield a very surprising result.

Пікірлер: 5

  • @ishanjmukherjee
    @ishanjmukherjee8 күн бұрын

    Thanks, I'd been trying to learn some social choice theory on my own and your series was the clearest introduction I found anywhere.

  • @sharathkumar8422
    @sharathkumar84225 жыл бұрын

    One small doubt or correction here, towards the end you say that with Pareto optimal and IIA conditions, there CAN be a dictator. However, if I remember correctly, Arrow's theorem states that there HAS to be a dictator. Thus showing that a strategy proof social welfare function is impossible without a dictator.

  • @msf3602
    @msf36025 жыл бұрын

    These videos are awesome. Would you be willing to make some showing some of the more proof's in Social Choice Theory, Gibbard- Satterthwaite, Sen's Paretian Liberal etc?

  • @TobyHandfield

    @TobyHandfield

    5 жыл бұрын

    Thanks, I intend to cover those in future, but won't make any promises for when. :)

  • @msf3602

    @msf3602

    5 жыл бұрын

    @@TobyHandfield Cool, your video was very clear and I know clear explanations of the other proofs will be super helpful to lots of students!