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Game Theory Game 2 Dominant Strategies. The Game Mike Shor 2 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100.

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Presentation on theme: "Game Theory Game 2 Dominant Strategies. The Game Mike Shor 2 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100."— Presentation transcript:

1 Game Theory Game 2 Dominant Strategies

2 The Game Mike Shor 2 The Economist SG Time S 0, 50100, 80 G 60, 0 60, 100

3 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

4 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

5 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

6 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!

7 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 …

8 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

9 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

10 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

11 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

12 Future Data Mike Shor 12


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