SimpleBrownianCode

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import random
import Tkinter

# Set up the graphics window
maxheight = 800
maxwidth = 800
window = Tkinter.Tk()
canvas = Tkinter.Canvas(window, width=maxwidth, height=maxheight, background="white")
canvas.pack()

class agent:
    x = 0
    y = 0
    oldx = 0
    oldy = 0

xincr = 2
yincr = 2
popsize = 100
totalrun = 100

def coin(prob):
    return (random.random() < prob)


pop = []
for indiv in range(popsize):
    pop.append(agent())
    canvas.create_oval(400,400,402,402,fill='black')

for time in range(totalrun):
    for indiv in range(len(pop)):
        if coin(0.5):
            pop[indiv].x = pop[indiv].x + xincr
        else:
            pop[indiv].x = pop[indiv].x - xincr

        if coin(0.5):
            pop[indiv].y = pop[indiv].y + yincr
        else:
            pop[indiv].y = pop[indiv].y - yincr
        canvas.coords(indiv+1,400+pop[indiv].x,400+pop[indiv].y,402+pop[indiv].x,402+pop[indiv].y)
        pop[indiv].oldx = pop[indiv].x
        pop[indiv].oldy = pop[indiv].y
    print time + 1