lecture26-slides - 10/29/09 1 10/29/09 2 10/29/09 Game...

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10/29/09 1
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10/29/09 2
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10/29/09 3 Game Theory modeling conflict
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10/29/09 4 sunspot territory on forest floor The goal of every scientific discipline is to describe, predict, and explain phenomena with the aid of theoretical models that picture the essential relationships between these phenomena and their causes.
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10/29/09 5 Virtues of mathematical models • Force one to be explicit about assumptions • Allow analysis of complex causal networks • Generate precise, quantitative predictions Evolutionary game theory • A mathematical apparatus for predicting the combinations of social behaviors that should be exhibited by interacting organisms as the result of natural selection • Organisms are pictured as players in games, with the payoffs of the game being units of (inclusive) fitness • Especially useful when behavioral strategies have frequency-dependent fitness
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6 Class simulation: two strategies • Raise your hand ( R ) • Don’t raise your hand (NR) Situation 1 • You receive $1 if you raise your hand. • You receive $0 if you don’t raise your
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lecture26-slides - 10/29/09 1 10/29/09 2 10/29/09 Game...

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