Fast decisions reflect biases; slow decisions do not

Linn, Samantha; Lawley, Sean D.; Karamched, Bhargav R.; Kilpatrick, Zachary P.; Josić, Krešimir

doi:10.1103/physreve.110.024305

Phys. Rev. E

2024

DOI: 10.1103/physreve.110.024305

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Fast decisions reflect biases; slow decisions do not

Samantha Linn,

Sean D. Lawley,

Bhargav R. Karamched

et al.

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Hitting probabilities for fast stochastic search^*

Linn,

Lawley

2024

J. Phys. A: Math. Theor.

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Many physical phenomena are modeled as stochastic searchers looking for targets. In these models, the probability that a searcher finds a particular target, its so-called hitting probability, is often of considerable interest. In this work we determine hitting probabilities for stochastic search processes conditioned on being faster than a random short time. Such times have been used to model stochastic resetting or stochastic inactivation. These results apply to any search process, diffusive or otherwise, whose unconditional short-time behavior can be adequately approximated, which we characterize for broad classes of stochastic search. We illustrate these results in several examples and show that the conditional hitting probabilities depend predominantly on the relative geodesic lengths between the initial position of the searcher and the targets. Finally, we apply these results to a canonical evidence accumulation model for decision making.

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Hitting probabilities for fast stochastic search^*

Linn,

Lawley

2024

J. Phys. A: Math. Theor.

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Fast decisions reflect biases; slow decisions do not

Cited by 1 publication

References 51 publications

Hitting probabilities for fast stochastic search^*

Hitting probabilities for fast stochastic search^*

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Fast decisions reflect biases; slow decisions do not

Cited by 1 publication

References 51 publications

Hitting probabilities for fast stochastic search*

Hitting probabilities for fast stochastic search*

Contact Info

Product

Resources

About

Hitting probabilities for fast stochastic search^*

Hitting probabilities for fast stochastic search^*