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Game Theory Game 2 Dominant Strategies
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The Game Mike Shor 2 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100
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The Game Mike Shor 3 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100 G is “safe” for Time S is better for Time if the Economist is likely to pick G
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The Economist Mike Shor 4 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100 In the role of The Economist: 88% selected G
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Time Mike Shor 5 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100 In the role of Time: Only 28% selected S
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Rationality & Common Knowledge Mike Shor 6 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100 Rationality: If you have a dominant strategy, play it Doesn’t matter what opponent might do!
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Rationality & Common Knowledge Mike Shor 7 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100 Common Knowledge: Others will use their dominant strategy 88% did! But …
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Rationality & Common Knowledge Mike Shor 8 Common Knowledge: Others will use their dominant strategy (usually) Ryan earned 0 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100
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Rationality & Common Knowledge Mike Shor 9 Common Knowledge: Others will use their dominant strategy (usually) Tim earned 0 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100
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Why Play a Dominated Strategy? Mike Shor 10 “I am in competition” “I am taking someone down with me” “I lose 30, but they lose 100” “Huh? I was confused” SG S 0, 50100, 80 G 60, 0 60, 100
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Historical Data Mike Shor 11 Rationality (Economist editors) Vanderbilt:90% pick Grenada Rutgers:92% pick Grenada UConn:90% pick Grenada Common Knowledge (Time editors) Vanderbilt:56% pick Scandal Rutgers:56% pick Scandal UConn:48% pick Scandal
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Future Data Mike Shor 12
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