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arrows impossibility theorem is a mathematical proof that theres no such thing as a perfect voting system every voting system can either be manipulated or else its inherently unfair like a dictatorship or else its unreasonable in some other way in this video Im going over arrows impossibility theorem including some of the violations of these reasonable principles and ways that voting systems can be manipulated I wont be going through the mathematics of arras impossibility theorem Im just giving an overview so first we have to ask the question what is a voting system what do we even mean by that and in economics we like to talk about preferences and preference orderings the fact that I like chocolate more than vanilla more than strawberry thats a preference ordering its pretty easy to think about in an individual context a voting system is basically any way of aggregating peoples preferences to come up with a group preference to say the group prefers chocolate over vanilla ove