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GAMING WITH MATHEMATICS E = mc²
AGENDA ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
GAME THEORY ,[object Object],[object Object]
[object Object],[object Object],[object Object]
APPLICATIONS OF GAME THEORY ,[object Object],[object Object],[object Object],[object Object],[object Object]
GAME 1: MONTY HALL ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
GAME 2: PICK UP STICKS ,[object Object],[object Object],[object Object],[object Object]
LET’S HAVE A TRIAL PLAY! ,[object Object]
STRATEGY TO WIN ,[object Object],[object Object],[object Object],[object Object]
WHAT DOES SUCH A STRATEGY ENSURE?  ,[object Object],[object Object]
GAME TREE
IN GENERAL… ,[object Object],[object Object],[object Object],[object Object]
FIBONACCI SERIES ,[object Object]
[object Object],[object Object]
APPLICATIONS OF FIBONACCI SERIES ,[object Object],[object Object],[object Object]
FIBONACCI RABBIT ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
GAME 3: BRICK WALL ,[object Object],[object Object],[object Object]
[object Object],[object Object],f(1) = 1 f(2) = 2 f(n)=f(n-1)+f(n-2)  . . .
[object Object],[object Object],[object Object]
GAME 4: CENTIPEDE GAME ,[object Object],[object Object]
RULES ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
APPLICATIONS ,[object Object],[object Object],[object Object]
LET’S PLAY! ,[object Object],[object Object]
STRATEGY ,[object Object],[object Object],[object Object],[object Object],[object Object]
MATHEMATICAL REASONING ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object]
NASH EQUILIBRIUM ,[object Object]
EXAMPLE ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object]
BACK TO NASH EQUILIBRIUM ,[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object]

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Game theory & Fibonacci series

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