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Game Problems

Game Problems. Which number is closest to the circumference of the earth?. 15,000 miles 25,000 miles 35,000 miles 45,000 miles 55,000 miles. Hermaphroditic Fish: Ex 18.1. Two players: Fish 1 and Fish 2 Two strategies: Demand preferred role Accept either role Payoffs

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Game Problems

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  1. Game Problems

  2. Which number is closest to the circumference of the earth? • 15,000 miles • 25,000 miles • 35,000 miles • 45,000 miles • 55,000 miles

  3. Hermaphroditic Fish: Ex 18.1 • Two players: Fish 1 and Fish 2 • Two strategies: • Demand preferred role • Accept either role • Payoffs • H if one gets to play preferred role • L if one plays less preferred role • S if no match

  4. Payoff matrix See Blackboard

  5. When is this game a prisoners’ dilemma? • For what values of H, L, and S is it a dominant strategy to demand preferred role? • Further question: Suppose S is the value of playing the same game with someone else at a later date. If everybody demands to play preferred role, how does S compare with L?

  6. Extension • What if tastes differ so that half of the population prefers role 1 and half prefers role 2? • Construct payoff matrix. • When is there a dominant strategy?

  7. Altruists Prisoners’ Dilemma: Ex 27.1 • Original game • What happens with altruists? • Try a=1 • For what values of a is this a Prisoners’ dilemma? Quiet Fink Quiet Fink

  8. Road Warriors X A 6,9,12,15 20,21,22,23 20,21,22,23 B 6.9,12,15 Y

  9. Nash equilibrium • Make table

  10. Road Warriors II A New Road X A 6,9,12,15 20,21,22,23 7,8,9,10 20,21,22,23 B 6.9,12,15 Y

  11. Domination Left Center Right Top Middle Bottom

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