I imagine the global communication means that *all* of the robots will try to switch to uncommon behaviours, so you've got massive waves of change rather than the occasional shifts needed to maintain status quo.
Well, because they can all see what everyone is doing all the time, they ALL go "so, everyone's exploring? I'll patrol then!" at once, and then they all patrol, and then the next time they check they ALL see that everyone is patrolling, so they all switch back, and so on. They never really get anything done.
So you would get the same results as short ranged communication just by having the robots behave asynchronoius, err, asynched, err asynchronised, err asynchronicious, asynchronicity, err out of time with each other?
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If only it would turn out that Tim Burton lives on the ground floor and would be more than happy to discuss his films over a nice cup of tea.
*stares hopefully at the door*
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