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Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1.

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Presentation on theme: "Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1."— Presentation transcript:

1 Why aren’t all Penguins Criminals? The Maths!

2 Table 2Table 3Table 1

3 The THIEF gets more rocks Table 1

4 The FORAGER gets more rocks Table 2

5 THIEVES and FORAGERS do EQUALLY well Table 3

6 The POPULATION gains MORE rocks if most penguins FORAGE Table 2Table 3Table 1

7 Predict the Number of Criminals in the Population? or

8 You Your Partner FORAGESTEAL FORAGE +1+2 STEAL –1–2 1 x chance of meeting I’ll expect to get: If I play + – 1 x chance of meeting

9 You Your Partner FORAGESTEAL FORAGE +1+2 STEAL –1–2 I’ll expect to get: If I play + – 2 x chance of meeting 2 x chance of meeting

10 = – 1 x chance of meeting Thief 1 x chance of meeting Forager 2 x chance of meeting Thief 2 x chance of meeting Forager = Chance of meeting Thief Chance of meeting Forager – = Number of Thieves Number of Foragers – If I play

11 Predict the Number of Criminals in the Population? Q: Over time Half the Penguins will become Criminals A:

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