Ehrenfest Urn Model

Ehrenfest Urn Model preview image

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Default-person Do Trong Thanh (Author)

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;;;;;;;;;;;;;;;;;;;;;;
;; setup procedures ;;
;;;;;;;;;;;;;;;;;;;;;;

globals
[
  prob
  ratio ;; ratio between number of balls in urn A and total number of balls
  urnA ;; number of balls in urn A
  sum-ratio
  sum-ratio-square
  mean-ratio
  mean-ratio-square
  var
]

;; sets up the patches and creates turtles

to setup
  clear-all
  ask patches [ set pcolor gray + 3 ]
  
  crt 1
  [
    set color black
    set shape "dot"
    set pen-size 3
    setxy 0 0
    set heading 0
    pd
    forward 50
    die
  ]
  init-vars
  setup-turtles
  reset-ticks
end 

to init-vars
  set ratio (ratio-two-urns / (1 + ratio-two-urns))
  set urnA (number-of-particles * ratio)
  set sum-ratio 0
  set sum-ratio-square 0
end 

;; determines the number of turtles and their color

to setup-turtles
  create-turtles urnA
  [
    set size 2
    set shape "dot"
    set ycor (random-float 50)
    set xcor (- (random-float 24)) - 1
    set color blue
  ]
  create-turtles (number-of-particles - urnA)
  [
    set size 2
    set shape "dot"
    set ycor (random-float 50)
    set xcor (random-float 24) + 1
    set color red
  ]
end 

;;;;;;;;;;;;;;;;;;;;;;;;
;; runtime procedures ;;
;;;;;;;;;;;;;;;;;;;;;;;;

to go
  ask one-of turtles
  [
     ifelse (color = blue)
     [
       set color red
       set xcor (random-float 24) + 1
     ]
     [ 
       set color blue
       set xcor (- (random-float 24)) - 1
     ]
  ]
  set urnA (count turtles with [color = blue])
  set ratio (urnA / number-of-particles)
  tick
end 

There is only one version of this model, created almost 5 years ago by Do Trong Thanh.

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