Mr. Danny Gillam will give the talk on Friday, February 13 at noon in Math 417. This lecture will be open to graduate and undergraduate students only.
Abstract: We quickly discuss a model for a voting system which is to determine a preferential ranking of a finite number of alternatives from a ranking of these alternatives by each member of a population (possibly infinite). When the population is finite, and the voting system satisfies certain reasonable conditions, Arrow's Theorem says it will be a dictatorship. There is a generalization to infinite populations as well. We also discuss what happens when the voting system is only to decide on one alternative, leading to Taylor's Theorem. This talk will be self-contained and all stated theorems will be proved.
Return to the Baby Graduate Seminar Home Page.