Emergence of Order from Chaos
In the previous experiment (click), we illustrated the behavior of the system near equilibrium. Here we illustrate an unstable behavior of the system where order arises from disorder as a result of a chance excess in population rather than of the selective advantage for one of the two colors. The game models the "survival of the surviving" and not Darwinian evolution. |
We now change the rules of the game- a draughtsman chosen by throwing 2 dice ( each having 8 faces i.e. from 0 to 7 ) is not replaced by a draughtsman of the other color; we take another draughtsman of the same color. In this case, the uniform distribution is unstable--if to the initial state there corresponded 32 white and 32 black pieces (represented here by 1 and 0), then after 64 throws, draughtsman of the same color will be left on the board. A chance deviation from the uniform distribution increases and decides the fate of the system. |
EXPT- first put 1 and 0 in the 64 cells in random manner so that 32 are 0 and 32 are 1.(You can also try other combinations ). Then click in the grey area and continue clicking for the number of moves you want to take. |