Collective Decision-Making in Ideal Networks: The Speed-Accuracy Tradeoff

We study collective decision-making in a model of human groups, with network\ninteractions, performing two alternative choice tasks. We focus on the\nspeed-accuracy tradeoff, i.e., the tradeoff between a quick decision and a\nreliable decision, for individuals in the network. We model the evidence\naggregation process across the network using a coupled drift diffusion model\n(DDM) and consider the free response paradigm in which individuals take their\ntime to make the decision. We develop reduced DDMs as decoupled approximations\nto the coupled DDM and characterize their efficiency. We determine high\nprobability bounds on the error rate and the expected decision time for the\nreduced DDM. We show the effect of the decision-maker's location in the network\non their decision-making performance under several threshold selection\ncriteria. Finally, we extend the coupled DDM to the coupled Ornstein-Uhlenbeck\nmodel for decision-making in two alternative choice tasks with recency effects,\nand to the coupled race model for decision-making in multiple alternative\nchoice tasks.\n

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