Showing posts with label Game Theory. Show all posts
Showing posts with label Game Theory. Show all posts

Friday, 5 April 2013

Rock- Scissors- Paper Game

'Rock- Scissors- Paper' Game Theory

Let r, s, p be the Probability of the resp. occurrence.

1. Any state of the game can be represented by a point X (r, s, p) inside an equilateral triangular RPS with r+s+p=1.
2. r is perpendicular distance (normal) from the point X to side SP; similarly, s to side RP; p to side RS

Scientists have discovered that some lizards use R-S-P Game Theory for survival strategy.

Tuesday, 2 April 2013

De Moivre

De Moivre (1722)

$latex (Cos A+iSin B)^n = Cos nA + i.Sin \:nA$
- French Protestant, jailed by the Catholic King Louis XIV (14th), exiled to UK.
- Gave Tuition in the Duke home where he met Newton with the newly published book “Principia” and the "New Math" Calculus, he self-paced study to become expert in Calculus.
- He never got a Professor job despite Newton and Leibniz’s help.
- He observed gambling in coffee shops, invented the Game Theory.
- He liked to sleep. One day he declared he would sleep 20 mins more per day. On 73rd day when he accumulated 24 hrs more, he died at 87 yrs old !