Agreement in circular and treelike societies
October 12, 2009
Bailey Hall 201
Refreshments will be served in Bailey 204 at 4:15
Suppose you and your scout troop are lost in the woods, and you are trying to agree on a direction to start walking, but you all have your own idea of the best direction. What conditions might guarantee that there is a compass bearing that you would all find acceptable? This is related to mathematical questions about approval voting, where instead of compass bearings, one has candidates. We will look at how small-scale conditions on people's preferences can guarantee that certain large-scale conditions are met (such as having a candidate with the approval of at least half the voters), focusing in particular on conditions related to circles and trees. No prerequisites, though familiarity with graphs will be helpful.
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Created automatically on: Wed Jan 17 15:11:17 EST 2018