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Video Abstract (AI generated) (01:01) Paper Preprint MethodsDecision-makers are often faced with limited information about the outcomes of their choices. Current formalizations of uncertain choice, such as the explore-exploit dilemma, do not apply well to decisions in which search capacity can be allocated to each option in variable amounts. Such choices confront decision-makers with the need to tradeoff between breadth (allocating a small amount of capacity to each of many options) and depth (focusing capacity on a few options). We formalize the breadth-depth dilemma through a finite sample capacity model. We find that, if capacity is smaller than 4-7 samples, it is optimal to draw one sample per alternative, favoring breadth. However, for larger capacities, a sharp transition is observed, and it becomes best to deeply sample a very small fraction of alternatives, that decreases with the square root of capacity. Thus, ignoring most options, even when capacity is large enough to shallowly sample all of them, reflects a signature of optimal behavior. Our results also provide a rich casuistic for metareasoning in multi-alternative decisions with bounded capacity.
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Jan Drugowitsch. (2021, Nov 1).The breadth-depth dilemma in a finite capacity model of decision-making[Video]. Scitok. https://scitok.com/project/p/ba781f7b
Moreno-Bote Ruben. "The breadth-depth dilemma in a finite capacity model of decision-making" Scitok, uploaded by Drugowitsch Jan, 1 Nov, 2021, https://scitok.com/project/pba781f7b
Jan Drugowitsch. "The breadth-depth dilemma in a finite capacity model of decision-making" Scitok. (Nov 1, 2021). https://scitok.com/project/p/ba781f7b
Jan Drugowitsch (Nov 1, 2021). The breadth-depth dilemma in a finite capacity model of decision-making Scitok. https://scitok.com/project/p/ba781f7b
Jan Drugowitsch. The breadth-depth dilemma in a finite capacity model of decision-making[video]. 2021 Nov 1. https://scitok.com/project/p/ba781f7b
@online{al2006link, title={ The breadth-depth dilemma in a finite capacity model of decision-making }, author={ Drugowitsch, Jan }, organization={Scitok}, month={ Nov }, day={ 1 }, year={ 2021 }, url = {https://scitok.com/project/p/ba781f7b}, }