Transcript The Maths

Why aren’t all
Penguins Criminals?
The Maths!
Table 1
Table 3
Table 2
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 1
Table 3
Table 2
Predict the Number of Criminals in
the Population?
or
If I play
I’ll expect to get:
1 x chance of meeting
+
– 1 x chance of meeting
You
FORAGE
STEAL
FORAGE
+1
+2
STEAL
–1
–2
Your
Partner
If I play
I’ll expect to get:
2 x chance of meeting
+
– 2 x chance of meeting
You
FORAGE
STEAL
FORAGE
+1
+2
STEAL
–1
–2
Your
Partner
If I play
If I play
1 x chance of meeting Forager
– 1 x chance of meeting Thief
Chance of meeting
Thief
Number of Thieves
= – –2 x chance of meeting Thief
2 x chance of meeting Forager
=
Chance of meeting
Forager
= Number of Foragers
Q: Predict the Number of Criminals in
the Population?
A:
Over time Half the Penguins will
become Criminals
Please Fill in Your
Feedback forms!