Why aren’t all Penguins Criminals? The Maths!

Table 2Table 3Table 1

The THIEF gets more rocks Table 1

The FORAGER gets more rocks Table 2

THIEVES and FORAGERS do EQUALLY well Table 3

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

Predict the Number of Criminals in the Population? or

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

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

= – 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

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

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