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Game Theory short
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Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Jan 05, 2016

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Page 1: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Game Theory

short

Page 2: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

What a "Game" means in Game Theory.

Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games are often non-zero sum. Noncooperative often. Oligopolistic.

Page 3: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Who needs to study Game Theory?

We will do two-person games in this course.

Page 4: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Pa yoff M a trix R a nd D Pro g ra m s

Ba rkle y's Pro fit $4 m illion

Ba rkley's p rofit $3 m illion

Ba rkley's p rofit $3 m illion

Ba rkley's p rofit $2 m illion

Allied 's p rofit $3 m illio n

Allied 's p rofit $2 m illio n

Allied 's p rofit$4 m illio n

Allied ' s p rofit $3 m illio n

Stra te g y 1 Stra te g y 2

Ba rkle y

Stra te g y A

Stra te g y B

Allie d

Page 5: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Nash Equilibrium:

A set of strategies such that each player believes accurately that he is doing the best he can given the strategy of the other player.

Page 6: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Nash as a young man

Nash as a Nobel Prize Winner

The book and the Oscar-winning movie.

Page 7: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

BarkleyA B

Allied I

II

Page 8: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Ba rkley's Profit $4 m illion

Ba rkley's p rofit $3 m illion

Ba rkley's p rofit $3 m illion

Ba rkley's p rofit $4 m illion

Allied 's p rofit $3 m illio n

Allied 's p rofit $2 m illio n

Allied 's p rofit$4 m illio n

Allied ' s p rofit $3 m illio n

Stra te g y 1 Stra te g y 2

Ba rkle y

Stra te g y A

Stra te g y B

Allie d

Pa yo ff M a trix: No Dom ina nt Stra teg y fo r Ba rkle y

Page 9: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.
Page 10: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Applications of Game Theory outside of economics:

Prisoner's Dilemma MAD our historical Cold War policy on nuclear attack missiles and our defensive system.

Page 11: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.
Page 12: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Does Cheating Pay?

Page 13: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Before Most-favored Customer Clause

Page 14: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

After Most-Favored Customer Clause

Page 15: Game Theory short. What a "Game" means in Game Theory. Rivalry is direct. In "Zero-Sum" games you win just what the other guy loses. Economic market games.

Walmart Case: Preemptive strategies.