**UM Math Graduate Student Seminar**

Alexander Lazar

* University of Miami *

**will present**

**Game Theory and Nash Equilibria**

Friday, September 25, 2015, 5:00pm

Ungar Building Room 402

**Abstract: **

In this talk, we will give a brief overview of the notion of a Nash Equilibrium from game theory. Using a fixed-point theorem from topology, one can show that a Nash Equilibrium exists for every finite game with perfect information. We will also discuss some of the limitations of the definition of a Nash equilibrium in terms of the theory of extensive games.

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