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Neighborhoods and Tips: Implications of Spatiality for Political Cascades
Unformatted Document Text:  Lustick, Miodownik / Neighborhoods and Tips 29 zones of information beyond SN 48 does not seem to have a strong impact on this aggregate measure. As evidence for the potency of spatiality as a variable, it is worth noting that very substantial adjustments in the sensitivity of the rotation threshold for agent updating had relatively little effect on the frequency of tipping. Chart 2: Average of absolute percent of agents changing their activated state (APC) The patterns apparent in the data on tips (complete convergence on one color) displayed in Chart 3 resemble those in Chart 2 on amounts of convergence. To be sure, when neighborhoods are very small, virtually no tips occur, which contrasts with the earlier and steadier rise in convergent behavior associated with initial increases in neighborhood size. However, parallel to patterns in Chart 2, in Chart 3 we see that a moderate amount of spatiality produces a sharp increase in the frequency of cascades that result in tips. We observe three distinct relationships. When spatiality is very high, i.e.

Authors: Lustick, Ian. and Miodownik, Dan.
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Lustick, Miodownik / Neighborhoods and Tips
29
zones of information beyond SN 48 does not seem to have a strong impact on this
aggregate measure. As evidence for the potency of spatiality as a variable, it is worth
noting that very substantial adjustments in the sensitivity of the rotation threshold for
agent updating had relatively little effect on the frequency of tipping.
Chart 2: Average of absolute percent of agents changing their activated state (APC)

The patterns apparent in the data on tips (complete convergence on one color)
displayed in Chart 3 resemble those in Chart 2 on amounts of convergence. To be sure,
when neighborhoods are very small, virtually no tips occur, which contrasts with the
earlier and steadier rise in convergent behavior associated with initial increases in
neighborhood size. However, parallel to patterns in Chart 2, in Chart 3 we see that a
moderate amount of spatiality produces a sharp increase in the frequency of cascades that
result in tips. We observe three distinct relationships. When spatiality is very high, i.e.


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