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Game Theory Analysis: Personalities, Strategies, and Justice in Sequential Games

Explore a game theory scenario involving four distinct personalities - Nice, Selfish, Too Nice, and Mean - who face different outcomes based on their actions. Understand the class divisions, optimal strategies, and expected payoffs to make profitable decisions. Learn how thinking ahead and anticipating future decisions play a crucial role in the game.

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Game Theory Analysis: Personalities, Strategies, and Justice in Sequential Games

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  1. Game Theory Game 4 Sequential Games

  2. out 0 , 100 E in -50 , -50 fight M acc 50 , 50 Four Personalities • Enter Accommodate “Nice” • Enter Fight “Selfish” • Out Accommodate “Too Nice” • Out Fight “Mean”

  3. Class Division • “Nice”(Enter,Accommodate)78% • “Selfish”(Enter,Fight) 9% • “Too Nice”(Out,Accommodate)9% • “Mean”(Out,Fight)3% • Enter: 28 Out: 4 • Accommodate: 28 Fight: 4

  4. Poetic Justice • Nice v. Nice (both share) 100 • Mean v. Mean (both monop.) 100 • Nice v. Too Nice 150 / 50 • Nice v. Selfish 0 / 0 • Selfish v. Selfish -100 / -100

  5. Nice And Lucky (vs. Too Nice) 150 points • Tyler G. • Richard

  6. Nice But Unlucky (vs. Mean) 50 points • Eric But Unlucky (vs. Selfish) 0 points • Ryan • Brandon

  7. Selfish / Mean Enter / Fight (Selfish) 0 points • Haoming • Austin Out / Fight (Mean) -50 points • Jay

  8. -50 , -50 fight M acc 50 , 50 Optimal Strategies 4 students 28 students • Expected Payoff: • -50(4/32) + 50(28/32) = 38 • Entry is profitable!

  9. Summary • Thinking ahead is critical! • People DO make the right decision in the present • You must anticipate that decision in the future

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