# Department of Mathematics

# Meet Julia Saccamano!

Meet one of our undergraduate students and summer research interns, Julia Sacamano!

Over the summer I will be studying Game Theory under the direction of Professor Akin. I will be using my experience with probability theory and linear algebra to understand the nature of games. The theory, first introduced by mathematician John von Neumann and economist Oskar Morgenstern in the 1940s, is the branch of mathematics which addresses situations in which there is conflict, competition, and potential strategies between rational thinking human ‘players’. We can see its uses in economics, politics, philosophy, and psychology. I will be focusing the majority of my studies on both two-person zero-sum games and two-person nonzero-sum games. Through these studies I will be taking a look at topics such as utility theory, payoff matrices, and Nash equilibrium in hopes of better understanding how to discern ‘solutions’ to games or predict potential outcomes of these situations. I will be reading Game Theory and Strategy by Philip Straffin, The Evolution of Cooperation by Robert Axelrod, and Game Theory: A Nontechnical Introduction by CCNY Emeritus Professor Morton D. Davis.

I will be using this knowledge to further examine the classic paradox of the Prisoner’s Dilemma which was originally proposed by Merrill Flood and Melvin Dresher as well as the iterated (repeated play) version. I am an Applied Mathematics major and will begin my Junior year in the fall. I hope to relate my studies in game theory to classes I've taken at CCNY, such as Probability Theory, Linear Algebra, Philosophy, and Economics, as well as things in everyday life. I love challenges, puzzles, and problems that come with studying math and am forever chasing the feeling of satisfaction when I find a solution and truly understand a topic. I love the universal and dynamic aspects of math and how it is the same in every country around the world, how it is used in every facet of life, and how its presence might not be noticed a first glance.

Posted 07/06/2017; expires 07/05/2018; visible to public

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