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One of the cognitive science labs was hiring experts in graph theory, and it turns out they wanted to express Arrow's Theorem -- and the related theories -- in
by inputcoffee 9y ago
One of the cognitive science labs was hiring experts in graph theory, and it turns out they wanted to express Arrow's Theorem -- and the related theories -- in the form of a graph so they could reason about decision making in the brain.
If I recall correctly, the paradox of voting gets represented as a top cycle which leads to irrational decisions. They wanted to come up with mechanisms where they break top cycles. (In these graphs a higher ranked decision was higher on the Y axis.)
- baddox 9y agoThe paradox of voting usually refers to a different claim: that the cost of an individual voting tends to be greater than the expected benefit to the individual. Confusingly, the term (and the extremely similar “voting paradox”) sometimes refers to the Condorcet paradox, which notes that collective preferences between three or more options can be intransitive. I expect that is the concept you are referring to. https://en.wikipedia.org/wiki/Condorcet_paradox https://en.wikipedia.org/wiki/Condorcet_paradox
- inputcoffee 9y agoYes, the latter.