Virtual Math. Colloq. Feb. 5 3:30pm
Friday, February 5 at 3:30pm, Virtual Room (Zoom Meeting ID: 824 5840 4119)
"Sen's Impossibility Theorem"
Professor Robert Powers, University of Louisville
In 1970, Amartya Sen published a short paper in the journal Political Economy containing a thought-provoking impossibility result. Even though Sen's Impossibility theorem is quite elementary, many researchers in the field of social choice consider it a seminal result. Why? Listen to my talk and find out. My first goal is to state and prove Sen's Theorem. My second goal is to talk about some ways Sen's hypotheses can be modified in order to obtain possibility results.