Collective decision-making in ideal networks: The speed-accuracy tradeoff
Vaibhav Srivastava and Naomi Ehrich Leonard
(2014), IEEE Transactions on Control of Network Systems, Vol. 1, No. 1, 121-130.
Paper at IEEE TCNS
Paper at arXiv:1402.3634v1 [math.OC]
We study collective decision-making in a model of human groups, with network
interactions, performing two alternative choice tasks.
We focus on the speed-accuracy tradeoff, i.e., the tradeoff between a quick decision and a reliable
decision, for individuals in the network. We model the evidence aggregation process across the
network using a coupled drift diffusion model (DDM) and consider the free response paradigm in
which individuals take their time to make the decision. We develop reduced DDMs as decoupled
approximations to the coupled DDM and characterize their efficiency. We determine high
probability bounds on the error rate and the expected decision time for the reduced DDM. We show
the effect of the decision-maker's location in the network on their decision-making performance
under several threshold selection criteria. Finally, we extend the coupled DDM to the coupled
Ornstein-Uhlenbeck model for decision-making in two alternative choice tasks with recency effects, and
to the coupled race model for decision-making in multiple alternative choice tasks.
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