Game theory & Fibonacci series

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]

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]

IN GENERAL… ,[object Object],[object Object],[object Object],[object Object]

FIBONACCI SERIES ,[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) . . .

GAME 4: CENTIPEDE GAME ,[object Object],[object Object]

RULES ,[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]

NASH EQUILIBRIUM ,[object Object]

EXAMPLE ,[object Object],[object Object],[object Object]

BACK TO NASH EQUILIBRIUM ,[object Object],[object Object]

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