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...
Guardado en:
Autores principales: | , , , , , , , |
---|---|
Formato: | article |
Lenguaje: | EN |
Publicado: |
Public Library of Science (PLoS)
2021
|
Materias: | |
Acceso en línea: | https://doaj.org/article/3f81d59034f04af88508dbf03b964a20 |
Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
id |
oai:doaj.org-article:3f81d59034f04af88508dbf03b964a20 |
---|---|
record_format |
dspace |
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 AT finnrabe ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans AT tobiasmorville ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans AT kristofferhmadsen ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans AT magnustkoudahl ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans AT rayjdolan ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans AT hartwigrsiebner ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans AT oliverjhulme ergodicitybreakingrevealstimeoptimaldecisionmakinginhumans |
_version_ |
1718375773128097792 |