Ergodicity-breaking reveals time optimal decision making in humans.

Ergodicity describes an equivalence between the expectation value and the time average of observables. Applied to human behaviour, ergodic theories of decision-making reveal how individuals should tolerate risk in different environments. To optimize wealth over time, agents should adapt their utilit...

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Autores principales: David Meder, Finn Rabe, Tobias Morville, Kristoffer H Madsen, Magnus T Koudahl, Ray J Dolan, Hartwig R Siebner, Oliver J Hulme
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Publicado: Public Library of Science (PLoS) 2021
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Acceso en línea:https://doaj.org/article/3f81d59034f04af88508dbf03b964a20
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spelling oai:doaj.org-article:3f81d59034f04af88508dbf03b964a202021-12-02T19:57:49ZErgodicity-breaking reveals time optimal decision making in humans.1553-734X1553-735810.1371/journal.pcbi.1009217https://doaj.org/article/3f81d59034f04af88508dbf03b964a202021-09-01T00:00:00Zhttps://doi.org/10.1371/journal.pcbi.1009217https://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358Ergodicity describes an equivalence between the expectation value and the time average of observables. Applied to human behaviour, ergodic theories of decision-making reveal how individuals should tolerate risk in different environments. To optimize wealth over time, agents should adapt their utility function according to the dynamical setting they face. Linear utility is optimal for additive dynamics, whereas logarithmic utility is optimal for multiplicative dynamics. Whether humans approximate time optimal behavior across different dynamics is unknown. Here we compare the effects of additive versus multiplicative gamble dynamics on risky choice. We show that utility functions are modulated by gamble dynamics in ways not explained by prevailing decision theories. Instead, as predicted by time optimality, risk aversion increases under multiplicative dynamics, distributing close to the values that maximize the time average growth of in-game wealth. We suggest that our findings motivate a need for explicitly grounding theories of decision-making on ergodic considerations.David MederFinn RabeTobias MorvilleKristoffer H MadsenMagnus T KoudahlRay J DolanHartwig R SiebnerOliver J HulmePublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 17, Iss 9, p e1009217 (2021)
institution DOAJ
collection DOAJ
language EN
topic Biology (General)
QH301-705.5
spellingShingle Biology (General)
QH301-705.5
David Meder
Finn Rabe
Tobias Morville
Kristoffer H Madsen
Magnus T Koudahl
Ray J Dolan
Hartwig R Siebner
Oliver J Hulme
Ergodicity-breaking reveals time optimal decision making in humans.
description Ergodicity describes an equivalence between the expectation value and the time average of observables. Applied to human behaviour, ergodic theories of decision-making reveal how individuals should tolerate risk in different environments. To optimize wealth over time, agents should adapt their utility function according to the dynamical setting they face. Linear utility is optimal for additive dynamics, whereas logarithmic utility is optimal for multiplicative dynamics. Whether humans approximate time optimal behavior across different dynamics is unknown. Here we compare the effects of additive versus multiplicative gamble dynamics on risky choice. We show that utility functions are modulated by gamble dynamics in ways not explained by prevailing decision theories. Instead, as predicted by time optimality, risk aversion increases under multiplicative dynamics, distributing close to the values that maximize the time average growth of in-game wealth. We suggest that our findings motivate a need for explicitly grounding theories of decision-making on ergodic considerations.
format article
author David Meder
Finn Rabe
Tobias Morville
Kristoffer H Madsen
Magnus T Koudahl
Ray J Dolan
Hartwig R Siebner
Oliver J Hulme
author_facet David Meder
Finn Rabe
Tobias Morville
Kristoffer H Madsen
Magnus T Koudahl
Ray J Dolan
Hartwig R Siebner
Oliver J Hulme
author_sort David Meder
title Ergodicity-breaking reveals time optimal decision making in humans.
title_short Ergodicity-breaking reveals time optimal decision making in humans.
title_full Ergodicity-breaking reveals time optimal decision making in humans.
title_fullStr Ergodicity-breaking reveals time optimal decision making in humans.
title_full_unstemmed Ergodicity-breaking reveals time optimal decision making in humans.
title_sort ergodicity-breaking reveals time optimal decision making in humans.
publisher Public Library of Science (PLoS)
publishDate 2021
url https://doaj.org/article/3f81d59034f04af88508dbf03b964a20
work_keys_str_mv AT davidmeder ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans
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AT magnustkoudahl ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans
AT rayjdolan ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans
AT hartwigrsiebner ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans
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