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Quantitative social choice

Mathematical Physics & Probability

Speaker: Elchanan Mossel, UC Berkeley
Location: 1147 MSB
Start time: Wed, Mar 9 2011, 4:10PM

I will survey recent results which give quantitative version of theorems in economics regarding social choice functions (i.e. how to vote). The focus of the talk will be a quantitative proof of Arrow's Impossibility Theorem which is based on new combinatorial arguments coupled with uses of inverse hyper-contraction (an exotic concept in functional analysis) and non-linear invariance principles (a recent development in probability theory).