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Article overview
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Dynamical Traps Caused by Fussy Rationality as a New Emergence Mechanism | Ihor Lubashevsky
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1 Sep 2011 | Abstract: | A new emergence mechanism related to the human fuzzy rationality is
considered. It assumes that individuals (operators) governing the dynamics of a
certain system try to follow an optimal strategy in controlling its motion but
fail to do this perfectly because similar strategies are indistinguishable for
them. The main attention is focused on the systems where the optimal dynamics
implies the stability of a certain equilibrium point in the corresponding phase
space. In such systems the fuzzy rationality gives rise to some neighborhood of
the equilibrium point, the region of dynamical traps, wherein each point is
regarded as an equilibrium one by the operators. So when the system enters this
region and while it is located in it, maybe for a long time, the operator
control is suspended. To elucidate a question as to whether the dynamical traps
on their own can cause emergent phenomena the stochastic factors are eliminated
from consideration. In this case the system can leave the dynamical trap region
only because of the mismatch between actions of different operators. By way of
example, a chain of oscillators with dynamical traps is analyzed numerically.
As demonstrated the dynamical traps do induce instability and complex behavior
of such systems. | Source: | arXiv, 1109.0072 | Services: | Forum | Review | PDF | Favorites |
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