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

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Why aren’t all Penguins Criminals? The Maths!

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

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

Why aren’t allPenguins Criminals?

The Maths!

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

Table 2

Table 3

Table 1

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The THIEF gets more rocks

Table 1

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The FORAGER gets more rocks

Table 2

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THIEVES and FORAGERS do EQUALLY well

Table 3

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The POPULATION gains MORE rocks if most penguins FORAGE

Table 2

Table 3

Table 1

Page 7: Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1.

Predict the Number of Criminals in the

Population?

or

Page 8: Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1.

YouYour Partner

FORAGE STEAL

FORAGE +1 +2

STEAL –1 –2

1 x chance of meeting

I’ll expect to get: If I play

+– 1 x chance of meeting

Page 9: Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1.

YouYour Partner

FORAGE STEAL

FORAGE +1 +2

STEAL –1 –2

I’ll expect to get: If I play

+– 2 x chance of meeting

2 x chance of meeting

Page 10: Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1.

=– 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 playIf I play

Page 11: Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1.

Predict the Number of Criminals in the

Population?

Q:

Over time Half the Penguins will become

Criminals

A:

Page 12: Why aren’t all Penguins Criminals? The Maths!. Table 2Table 3Table 1.

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