M4-1 MODULE 4 Game Theory LEARNING OBJECTIVES After completing this supplement‚ students will be able to: 1. Understand the principles of zero-sum‚ two-person games. 2. Analyze pure strategy games and use dominance to reduce the size of a game. 3. Solve mixed strategy games when there is no saddle point. SUPPLEMENT OUTLINE M4.1 M4.2 M4.3 M4.4 M4.5 M4.6 Introduction Language of Games The Minimax Criterion Pure Strategy Games Mixed Strategy Games Dominance Summary
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A | Action Race: This is a fun game using actions. Use actions like jump‚ hop‚ clap‚ run etc. Have the Ss split into two teams and sit in lines with a chair by each team and one chair at the other end of the room. One S from each team stands next to their chair and T calls an action‚ e.g. "Jump". Ss must jump to the chair on the other side of the room and back‚ sitting down in their chair Ss say "I can jump". First one to do it gets their team a point. (Submitted by Gareth Thomas). Airplane
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Spring 2013 Assignment Solution 0-Sum Games 2 1. Reduce by dominance to 2x2 games and solve. 5 4 4 3 (a) 0 1 1 2 1 0 2 1 4 3 1 2 10 0 7 1 (b) 2 6 4 7 6 3 3 5 Solution: (a). Column 2 dominates column 1; then row 3 dominates row 4; then column 4 dominates column 3; then row 1 dominates row 2. The resulting submatrix consists of row 1 and 3 vs. columns 2 and 4. Solving this 2 by 2 game and moving back to the original game we find that value is 3/2‚ I’s optimal
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Alex Henthorn Soccer is one of the oldest sports in the history of the planet. The game has been around before basketball‚ baseball‚ and hockey. It originate in Chine during the early second or first century B.C.. However‚ they did not play it the way we know it. They played a game called Tsu Chu which means to kick a ball of leather with the foot (Liss). Humanity is motivated by money and god. Money is not uncommon in soccer. Soccer is like a childhood desire to make dreams come true no matter
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Bernard Do English 101 11/03/12 Rated M: for Misunderstanding Do video games really need to be censored by the United States’ Government? Over the past several years there has been a controversial court case under discussion to censor video games. This case is trying to get the United States’ Government to prohibit the selling of all video games that may include graphic violence‚ virtual sex‚ violent and gory scenes‚ partial or full nudity‚ and portrayal of criminal behavior or other provocative
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The Right Game: Use Game Theory to Shape Strategy by Adam M. Brandenburger and Barry J. Nalebuff Harvard Business Review Reprint 95402 HBR J U LY- A U G U S T 1 9 9 5 The Right Game: Use Game Theory to Shape Strategy by Adam M. Brandenburger and Barry J. Nalebuff Business is a high-stakes game. The way we approach this game is reflected in the language we use to describe it. Business language is full of expressions borrowed from the military and from sports. Some of them are dangerously
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Solution to Tutorial 1 2011/2012 Semester I MA4264 Tutor: Xiang Sun∗ August 24‚ 2011 Game Theory 1 Review • “Static” means one-shot‚ or simultaneous-move; “Complete information” means that the payoff functions are common knowledge. • Normal-form representation: G = {S1 ‚ . . . ‚ Sn ; u1 ‚ . . . ‚ un }‚ where n is finite. • si is strictly dominated by si ‚ if ui (si ‚ s−i ) < ui (si ‚ s−i )‚ ∀s−i ∈ S−i . • Rational players do not play strictly dominated strategies‚ since they are always not
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The Hunger Games. Actors/Characters. - Katniss Everdeen/Jennifer Lawrence. (Silver Linings‚ House at the End of the Street and X-Men: First Class) - Peeta Mellark/Josh Hutcherson. (Bridge to Terabithia‚ Journey to the Centre of the Earth and Cirque du Freak: The Vampire’s Assistant) - Gale Hawthorn/Liam Hemsworth. (The Expendables 2‚ The Last Song and Love and Honour). - Haymitch Abernathy/Woody Harrelson. (Zombieland‚ 2012 and Friends With Benefits) - Effie Trinket/Elizabeth Banks. (The-40-Year-Old
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and slowly worked his way up the ranks of the Church. Angelo came to be the head of the church taking on the name Pope John XXIII on the 28th of October 1958 when he took charge of the Vatican until the 3rd of June 1963‚ the day of his death‚ aged 81. He has since been canonised a saint on the 27th of April‚ 2014. Pope John XXIII has been labelled after his death as “the good pope” as his vision carried the Church forward‚ guiding it towards a new age. "The Church should never depart from the sacred
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FedEx versus Djoker: Through the Lens of Game Theory Term Paper | IIMK | PGP 15 Submitted By: Group 13 Ranjith P (PGP/015/041) Ankur Pandit (PGP/015/206) Anurag Butoliya (PGP/015/207) Paran Gupta (PGP/015/240) FedEx versus Djoker: Through the Lens of game Theory Executive Summary: Being inspired by the recent clash between Federer and Djokovic in Wimbledon 2012‚ we as a group decided to explore the game theory dynamics of this celebrated matchup. Both these players
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