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Opportunity cost determines free-operant action initiation latency and predicts apathy

Published online by Cambridge University Press:  12 October 2021

Akshay Nair*
Affiliation:
Huntington's Disease Centre, UCL Queen Square Institute of Neurology, University College London, Russell Square House, 10-12 Russell Square, London, WC1B 5EH, UK Max Planck UCL Centre for Computational Psychiatry and Ageing Research, UCL Queen Square Institute of Neurology, University College London, Russell Square House, 10-12 Russell Square, London, WC1B 5EH, UK
Ritwik K. Niyogi
Affiliation:
Max Planck UCL Centre for Computational Psychiatry and Ageing Research, UCL Queen Square Institute of Neurology, University College London, Russell Square House, 10-12 Russell Square, London, WC1B 5EH, UK
Fei Shang
Affiliation:
Max Planck UCL Centre for Computational Psychiatry and Ageing Research, UCL Queen Square Institute of Neurology, University College London, Russell Square House, 10-12 Russell Square, London, WC1B 5EH, UK Department of Psychiatry, Yale University, New Haven, CT 06510, USA
Sarah J. Tabrizi
Affiliation:
Huntington's Disease Centre, UCL Queen Square Institute of Neurology, University College London, Russell Square House, 10-12 Russell Square, London, WC1B 5EH, UK Wellcome Centre for Human Neuroimaging, UCL Queen Square Institute of Neurology, University College London, 12 Queen Square, London WC1N 3AR, UK
Geraint Rees
Affiliation:
Wellcome Centre for Human Neuroimaging, UCL Queen Square Institute of Neurology, University College London, 12 Queen Square, London WC1N 3AR, UK UCL Institute of Cognitive Neuroscience, UCL Queen Square Institute of Neurology, University College London, 17-19 Queen Square, London, WC1N 3AZ, UK
Robb B. Rutledge
Affiliation:
Max Planck UCL Centre for Computational Psychiatry and Ageing Research, UCL Queen Square Institute of Neurology, University College London, Russell Square House, 10-12 Russell Square, London, WC1B 5EH, UK Wellcome Centre for Human Neuroimaging, UCL Queen Square Institute of Neurology, University College London, 12 Queen Square, London WC1N 3AR, UK Department of Psychology, Yale University, New Haven, CT 06511, USA
*
Author for correspondence: Akshay Nair, E-mail: akshay.nair@ucl.ac.uk
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Abstract

Background

Apathy, a disabling and poorly understood neuropsychiatric symptom, is characterised by impaired self-initiated behaviour. It has been hypothesised that the opportunity cost of time (OCT) may be a key computational variable linking self-initiated behaviour with motivational status. OCT represents the amount of reward which is foregone per second if no action is taken. Using a novel behavioural task and computational modelling, we investigated the relationship between OCT, self-initiation and apathy. We predicted that higher OCT would engender shorter action latencies, and that individuals with greater sensitivity to OCT would have higher behavioural apathy.

Methods

We modulated the OCT in a novel task called the ‘Fisherman Game’, Participants freely chose when to self-initiate actions to either collect rewards, or on occasion, to complete non-rewarding actions. We measured the relationship between action latencies, OCT and apathy for each participant across two independent non-clinical studies, one under laboratory conditions (n = 21) and one online (n = 90). ‘Average-reward’ reinforcement learning was used to model our data. We replicated our findings across both studies.

Results

We show that the latency of self-initiation is driven by changes in the OCT. Furthermore, we demonstrate, for the first time, that participants with higher apathy showed greater sensitivity to changes in OCT in younger adults. Our model shows that apathetic individuals experienced greatest change in subjective OCT during our task as a consequence of being more sensitive to rewards.

Conclusions

Our results suggest that OCT is an important variable for determining free-operant action initiation and understanding apathy.

Information

Type
Original Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press
Figure 0

Table 1. Demographics for participants included in the in-lab, Exp. (1), and the online studies, Exp. (2)

Figure 1

Fig. 1. Overview of task design. (a) Following assessment of maximum tapping speed, instructions and training, participants completed two counterbalanced environments in which they earned ¥ for fish caught with key presses: high OCT and low OCT environment indicated by the monetary value of ¥3000 (£4 or £0.50) and the colour of the water (blue water representing high value and white water representing low value). When not pressing to catch fish, nothing on screen prompted action. To register that a fish was caught, the angle of the fish graphic changed by 45o. A bell sounded each time the price for fish changed. Information regarding environments and range of fish prices was present on screen at all times. The price of the fish changed every 12–13 s and prices were randomly drawn from a set of six prices ranging from ¥0.1–¥2.5 per fish. Each price was seen four times in an environment and the order of prices was the same in both environments but randomly generated for each participant. (b) Six times in each environment, the participant' fishing rod broke. To fix it they were required to repeatedly tap an alternative button, for no immediate reward and for a fixed number of times. While the rod was broken, no price was displayed on screen; instead, participants saw a large red cross which decreased in size with every tap. Time within the task was not stopped while the rod was being fixed and participants were aware of this.

Figure 2

Fig. 2. Opportunity cost invigorates rewarding actions – (a–c) show data from Exp. 1, lab-based and (d–f) show data from Exp.2, online based. (a, d) In both lab-based (a) and online (d) experiments, increased opportunity cost (manipulated by environments with a higher price for fish) produced the predicted reduction in chosen free-operant action initiation latencies. Mean choice latency is plotted by price (¥/tap) and environment (±s.e.m.) for (a) Exp. (1) in-lab sample and (b) Exp. (2) online sample. (b, e) Higher opportunity cost was associated with more frequent self-initiated action initiation (i.e. more taps) during the fixed environment duration in subjects in both (b) Exp. (1) in-lab and (E) Exp. (2) online studies. Grey dots represent the number of taps performed by each subject in each environment (low v. high opportunity cost). t statistic shows paired difference between number of taps. (c, f) Higher opportunity cost environments are associated with faster rod-fixing latencies, despite rod fixing being an action with no immediate reward value in both environments, in both (c) Exp. (1) in-lab (n = 21) and (f) Exp. (2) online experiments (n = 90). Mean latencies of rod fixing in both environments are shown as grey dots. Line of no effect is shown as a dashed line. We predicted that most dots would lie above this line indicating slower action initiation for non-rewarding actions in the low value environment due to the lower opportunity cost. t statistic shows difference between mean log latencies, ** p < 0.01 *** p < 0.001.

Figure 3

Fig. 3. Sensitivity to opportunity cost depends on apathy – Example timeseries from the task as performed by a participant with low behavioural apathy (a – bAMI: 0.83) and a participant with high behavioural apathy (b – bAMI: 3.5) in Exp. (1). Grey unbroken timeseries shows chosen action latencies and broken lines indicate the current fish price. Changes in fish price signal change in OCT, here in the low OCT environment in both examples. Highly motivated individuals like the participant in (a) showed little sensitivity to change in opportunity cost. By comparison, the example apathetic individual in (b) showed a negative relationship between action latency and OCT. (c, d) Relationship between behavioural apathy scores measured by bAMI and OCT sensitivity (subject-level price beta from linear mixed model) in C. Exp. (1), in-lab (n = 21) and D. Exp. (2), online young adults (18–35 years, n = 45). Behavioural apathy scores were significantly associated with OCT sensitivity in both lab (ρ = −0.60, p = 0.004) and online samples (ρ = −0.50, p = 0.0005) in young adults. ** p < 0.01 *** p < 0.001.

Figure 4

Fig. 4. Apathy modulates reward rate: (a, b) We found a strong positive relationship between apathy and the reward sensitivity parameter in our average reward RL model. (c, d) As a result of this variation in reward sensitivity, apathetic individuals showed larger changes in subjective OCT derived from the model between different environments (plot shows the difference in modelled opportunity cost between states with the highest and lowest opportunity cost) *p < 0.05 ** p < 0.01 *** p < 0.001.

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