Emergence of Order from Chaos
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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. |
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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. |
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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. |