##### Department of Mathematics,

University of California San Diego

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### Food For Thought Seminar

## Neal Harris

#### UCSD

## Arrow's Impossibility Theorem

##### Abstract:

In 1951, Kenneth Arrow showed that under a reasonable definition of 'fair', there is no fair election system in a society of at least two individuals with at least three options. We'll make this statement into a precise theorem, prove it, and then discuss a generalization. While axioms and choice will both appear in this talk, the Axiom of Choice will not.

### February 12, 2009

### 10:00 AM

### AP&M 7321

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