Game Theory 1-24-12

Game Theory 1-24-12 - 0,0 3-1 Selfish Beta(2d Player...

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Game Theory      1-24-2012 (1) Player  Move Alpha Beta Alpha B-, B- A, C Beta C, A B+,B+ Convention is to write the ‘row’ payer’s pay off first (1) Shows grades, but to make it a proper game you need to know how people feel about game Need utilities (2) (2) Player  Strategy Selfish Alpha Selfish Beta Selfish Alpha 0,0 3,-1 Selfish Beta -1, 3 1,1 (2) Is there a dominated strategy? o (2a) If Player 2 (columns) chooses alpha, Player 1 is better off choosing Alpha (0>-1) o (2b) If Player 2 chooses beta, Player 1 is better off choosing Alpha since (3>1) (2b) Player  Strategy Selfish Alpha Selfish Beta
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Selfish Alpha 3,-1 Selfish Beta 1,1 (2a) Player  Strategy Selfish Alpha Selfish Beta Selfish Alpha 0,0 Selfish Beta -1, 3 o (2c) If Player 1 (columns) chooses alpha, Player 1 is better off choosing Alpha (0>-1) o (2d) If Player 1 chooses beta, Player 1 is better off choosing Alpha since (3>1) (2c) Player  Strategy Selfish Alpha Selfish Beta Selfish Alpha
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Unformatted text preview: 0,0 3,-1 Selfish Beta (2d) Player Strategy Selfish Alpha Selfish Beta Selfish Alpha Selfish Beta-1, 3 1,1 o Strategy Beta is dominated for both players, making them choose Alpha • Ethical Players (3) (3) Player Strategy Ethical Alpha Ethical Beta Ethical Alpha 0,0-1,-3 Ethical Beta-3, -1 1,1 o Coordination problem, no dominated strategy o If Joyce believes Stephen will play Beta, she will too. If she believes he will play Alpha, she will do the same • Selfish vs. Ethical (4) Player Strategy Ethical Alpha Ethical Beta Selfish Alpha 0,0 3,-3 Selfish Beta-1, -1 1,1 o Selfish vs. Ethical Player 2 (ethical) does not have a dominated strategy Player 1 (selfish) has a dominated strategy Beta, so he will play alpha Since Player 2 knows Player 1 will play Alpha, Player 2 will also play Alpha Game ends up at Alph...
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This document was uploaded on 02/19/2012.

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Game Theory 1-24-12 - 0,0 3-1 Selfish Beta(2d Player...

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