9+Game+Theory

1. Introduction - what is game theory? play games, basic definitions 2. Categorize games 3. Practice Analyzing Game outcomes using grids, get to Nash equilibrium - assume perfect information, play rationally 4. Add in human component - utility, expected value 5. History 6. Applications

"The Divine Wager" (p. 101 - 104, Zero: Biography of a Dangerous Idea) - Pascal uses expected value
 * Game Theory:**

Founding Father's of the Field:
 * **John von Neumann**, whose 1944 book //Theory of Games and Economic Behavior//, written with Oscar Morgenstern, made him arguably the founding father of modern game theory
 * **John Nash**, whose story was told in the film //A Beautiful Mind// and whose achievements have helped make him one of the best-known game theorists
 * **Kenneth Arrow**, whose famous "impossibility theory" proved that designing a fundamentally unflawed voting system is essentially //impossible//
 * **Barry Nalebuff and Adam Brandenberger**, whose 1996 book on //Co-Opetition//offered modern business an innovative rethinking of the competitiveess.

Game Theory - play this game (everyone pick a number, if someone else picks same it is disqualified, lowest number wins) daily for a while, then discuss strategy... - another game everyone picks a number from 1-100, and closest to 2/3 of the average of all answers wins.

Pirate Game - http://en.wikipedia.org/wiki/Pirate_game

[|Good Game Theory Introduction and resources website] Topics covered:
 * What is Game Theory
 * Non Zero-Sum Games
 * Nash Equilibrium
 * Tasks

Another site from Cornell with lessons on game theory appropriate for hs students http://www.math.cornell.edu/~mec/2008-2009/Anema/games.html
 * Strategic Moves in matrix games - activity wholesellers vs. retailers
 * Decision Trees
 * Rationality and Games with Imperfect Information - seems like it has 2 good activities, but I don't fully understand them :)

Concept of utility vs. just expected value - see Pittsburgh lecture notes Extra problems: http://www.math.uiuc.edu/~yancey1/M181S10/WORK_GT.pdf

Games; Chicken Stag Hunt

The Ultimatum game - video here of lesson, can do shorter version - about human behavior of splitting $ with a partner Article about ultimatum game played with peruvian tribe

from COMAP : game modeling animal behavior in wild - competing for food - use examples with hawk/dove strategies for practice evaluating most likely outcomes, whether it's an ESS

how to win at nim -good to play in beginning as illustration of needing to anticipate other's moves, and think ahead. Zero-sum game, sequential. Probability and Game theory in hunger games article use link to read comments; article here Book __Game Theory and Strategy__, Straffin - betty getting from library

Pirate Game with clip of opening robbery scene from Dark Knight @http://mindyourdecisions.com/blog/2008/08/19/game-theory-in-the-dark-knight-a-critical-review-of-the-opening-scene-spoilers/ Prisoner's Dilemma with ships to detonate in Dark Knight - http://www.quantitativepeace.com/blog/2008/07/the-dark-knight.html Sophie's Choice - another example of how human morality and emotions hinder the optimal, rational strategy

How to find true love using game theory: http://mindyourdecisions.com/blog/2008/01/08/game-theory-tuesdays-how-can-i-find-true-love/

Beautiful Mind Clip - 1 blond, 4 brunettes in a bar problem http://mindyourdecisions.com/blog/2008/03/10/game-theory-tuesdays-the-problem-from-a-beautiful-mind-buying-new-or-used/