1. Game theory Jonathan C. (}{_-3)

2. What is it? Uses models to study interactions with games. It applies to various fields like; economics, biology, political science social psychology, and military strategy. Study of decision making Applied Mathematics.

3. More to know Game theory show how people and nature make simultaneous decisions.

4. Why am I interested? I am interested because, when I was younger I always used to play chess and multiple other two person games. I didn’t know math had anything to do with those games until now.

5. Why is it important? It isn’t really important anymore but when I was 7-12 I used to play 1-on-1 games. Now I cant even explain how it all works.

6. History The first recorded discussion of “The Game Theory” was in 1713, it was written in a letter bye James Waldegrave, he wrote in the letter the solution to a two person game with a minimax mixed strategy. A Danish mathematician Zeuthen, proved that the model created by Waldgrave won with his strategy called “Brouwer's fixed point theorem”.

7. History Cont. Game theory did not exist until 1928 when John Von Neumann published a paper about it. Von Neumann’s original proof used Brouwer’s theorem on continuous maps in convex sets, in which it became the standard method in game theory and mathematical economics.

8. Cont. His paper was followed by his book in 1944, “Theory of games and Economic Behavior.” In some research after the book was written the game theory expanded to cooperative game theory, analyzes how people work in decision in pairs or groups. In 1950 Merrill M. Flood and Melvin Dresher(part of RAND Corp.) pursed possible applications for global nuclear strategy.

9. Importance.. AGAIN Was once hailed as a Revolutionary interdisciplinary(Mixing one or more academic areas) phenomenon for bringing psychology, mathematics, philosophy, and multiple other areas. For business: analyzing economic environments(oligopoly) Decision making. Making rational decisions, or thinking of all possible options.

10. Interesting facts Two perfect example of game theory: Yu-Gi- Oh and Battleship

11. Cont. Every game is part of this theory.

12. What I learned I’ve been participating in a complicated mathematical theory, but once you read about it, it’s pretty straight forward. Explaining how people make different decisions when they’re alone.

13. Resources. http://levine.sscnet.ucla.edu/general/whatis.h tm http://levine.sscnet.ucla.edu/general/whatis.h tm http://en.wikipedia.org/wiki/Game_theory#Hi story http://en.wikipedia.org/wiki/Game_theory#Hi story http://www.investopedia.com/ask/answers/0 9/game-theory-business.asp http://www.investopedia.com/ask/answers/0 9/game-theory-business.asp

14. Extra info http://www.investopedia.com/articles/financi al-theory/09/game-theory-beyond- basics.asp?viewed=1 http://www.investopedia.com/articles/financi al-theory/09/game-theory-beyond- basics.asp?viewed=1 http://plato.stanford.edu/entries/game- theory/ http://plato.stanford.edu/entries/game- theory/

15. Levine, David. "What is Game Theory?." levine.sscnet.ucla.edu. David K. Levine. Web. 6 Jun 2013. "Game theory." Wikipedia. N.p.. Web. 6 Jun 2013. <http://en.wikipedia.org/wiki/Game_theory Pinkasovitch, Aurther. "Why is Game Theory useful in business?." Investopedia. N.p., 03 december 2009. Web. 6 Jun 2013..

16. Game Theory." Tandfore Encyclopedia of philosophy. plato.standford.edu, 25 Jan 1997. Web. 6 Jun 2013..