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# Adolescents exhibit reduced Pavlovian biases on instrumental learning

## Abstract

Multiple learning systems allow individuals to flexibly respond to opportunities and challenges present in the environment. An evolutionarily conserved “Pavlovian” learning mechanism couples valence and action, promoting a tendency to approach cues associated with reward and to inhibit action in the face of anticipated punishment. Although this default response system may be adaptive, these hard-wired reactions can hinder the ability to learn flexible “instrumental” actions in pursuit of a goal. Such constraints on behavioral flexibility have been studied extensively in adults. However, the extent to which these valence-specific response tendencies bias instrumental learning across development remains poorly characterized. Here, we show that while Pavlovian response biases constrain flexible action learning in children and adults, these biases are attenuated in adolescents. This adolescent-specific reduction in Pavlovian bias may promote unbiased exploration of approach and avoidance responses, facilitating the discovery of rewarding behavior in the many novel contexts that adolescents encounter.

## Introduction

From an early age, individuals can rely on distinct forms of learning to maximize rewards and avoid punishments in their environments. Through Pavlovian learning, a neutral cue that predicts reward or punishment acquires the positive or negative value associated with its outcome1. This learned association between a cue and its predicted outcome can then drive reflexive behavioral responses that are elicited in a valence-dependent manner. Expectations of reward typically lead to approach behaviors2,3, whereas expectations of punishment tend to foster the inhibition of action4. For instance, by learning that a sweet smell often precedes enjoying a scrumptious dessert, you might be drawn toward the fragrant scent in anticipation of an afternoon treat. Or by learning that the sound of a horn often is heard before a car accident, you might freeze upon hearing the noise in anticipation of a negative event. This evolutionarily conserved learning mechanism allows approach or action inhibition to be readily deployed as “default” reactions to anticipated rewards or threats, respectively, without any need to evaluate the efficacy of these responses through experience5. Whereas Pavlovian learning couples expectations of reward or punishment with reflexive reactions that have no causal influence on the outcomes that actually occur, instrumental learning enables the discovery and deployment of actions that can directly influence the likelihood of obtaining reward or avoiding punishment. By learning which actions bring about beneficial outcomes, an individual can flexibly engage active or inactive responses based on their causal efficacy, rather than emitting reactive responses that are controlled by cues in their environment.

Pavlovian and instrumental learning systems do not operate in isolation6. When active approach responses are required to secure reward, or one must inhibit action to avoid punishment, the Pavlovian reactions aligned with these instrumental contingencies can facilitate learning. However, when Pavlovian tendencies conflict with instrumental contingencies, these default reactions can impede the learning of adaptive instrumental actions. For example, freezing at the sound of a car horn might be beneficial if you are about to step into oncoming traffic, but might be harmful if it prevents you from running out of the way if you are already in the road. Studies across species highlight the difficulty of learning to perform instrumental actions that conflict with Pavlovian expectancies, as the evolutionarily conserved tendencies to approach cues predictive of reward or to inhibit action to cues predictive of punishment can be too robust to overcome7,8,9,10,11,12. In active avoidance paradigms, rodents have difficulty learning to cross to the opposite side of a conditioning chamber in order to avoid being shocked, due to their tendency to freeze following a threat-predictive cue13,14,15. Similarly, in the appetitive domain, rats have difficulty learning to earn a food reward by not approaching a cue that predicts the reward16. These studies demonstrate that Pavlovian reactions to anticipated reward or punishment can pose constraints on instrumental action, disrupting flexible goal-directed learning.

To date, the biasing effects of Pavlovian learning on behavior have been studied primarily in adult rodents and humans10,17,18,19,20,21,22,23. While both Pavlovian and instrumental learning are evident from early childhood24,25,26,27, relatively few studies have investigated the interaction between Pavlovian and instrumental learning across development in humans28. Thus, it is unclear when Pavlovian constraints on action learning emerge and how they change from childhood to adulthood.

In the present study, we tested the extent to which Pavlovian reactions differentially biased instrumental learning across development. We hypothesized that these Pavlovian learning constraints would decrease from childhood to adulthood, as the cognitive capabilities and neural circuits that support goal-directed instrumental learning are refined25,29,30,31,32. To test this hypothesis, we had 61 participants, 8–25 years of age (20 children aged 8–12, 20 adolescents aged 13–17, and 21 adults aged 18–25; see methods for detailed demographics of participants), complete a probabilistic Go/No-Go task in which valence and action were orthogonalized. We adapted a well-validated paradigm20,21,33 for use in a developmental cohort by using a child-friendly narrative to frame the task. The goal of the task was to earn as many “tickets” as possible by interacting with four different colored robots. Valence (i.e., the potential to either win or lose a ticket) and action (i.e., the need to either press or not press a button) were orthogonalized across the four robots. Two of the robots were associated with the potential to win a ticket (“ticket givers”), and two robots were associated with the potential loss of a ticket (“ticket takers;” Fig. 1). For both “ticket givers” and “ticket takers,” the correct response for one of the robots was to press a button, whereas the correct response for the other robot was to withhold a button press. Participants were instructed that robots could be either “ticket givers” or “ticket takers” and that the correct action for each robot could be learned through feedback. For the “ticket givers,” a correct response resulted in winning a ticket 80% of the time but no ticket (the “null” outcome) 20% of the time; whereas for the “ticket takers,” a correct response avoided the loss of a ticket (the “null” outcome) 80% of the time but resulted in the loss of a ticket 20% of the time. Incorrect responses yielded feedback with reversed outcome probabilities.

The Pavlovian default responses to approach expected reward or to inhibit action in the face of potential punishment were aligned with the correct instrumental response on “Go to Win” and “No-Go to Avoid Losing” trials, whereas the default responses were in conflict with the optimal instrumental actions on “Go to Avoid Losing” and “No-Go to Win” trials. Critically, a Pavlovian bias was evident if performance was better for the robots for which Pavlovian tendencies and correct instrumental responses were congruent than those for which they were incongruent. If Pavlovian learning did not bias instrumental action learning, then performance would be comparable across all four trial types.

## Results

### Behavioral analyses

First, we tested whether there was a relationship between the number of tickets won and participant age. A linear model that included both age and age-squared as predictors of number of tickets won significantly improved the fit compared to a model that included age alone (F(1,58) = 15.959, p = 0.0002). We found significant effects of age (β value = 7.523, s.e. = 1.804, t(58) = 4.170, p < 0.001, Cohen’s ƒ2 = 0.300) and age-squared (β value = −7.334, s.e. = 1.836, t(58) = -3.995, p < 0.001, Cohen’s ƒ2 = 0.275) on the number of tickets won, indicating a peak in overall task performance during late adolescence (Fig. 2a).

We next examined how participants’ choice behavior gave rise to this nonlinear age-related change in task performance. The qualitative pattern of performance on each trial type is depicted for children, adolescents, and adults in Fig. 2b (and Supplementary Fig. S1). To test how performance for each trial type differs as a function of age, we performed four separate linear regressions in which age and age-squared predict accuracy. The model that included age alone provided the best fit for accuracy on “Go to Win” (GW) trials, although age was not a significant predictor (F(1,58) = 0.557, p = 0.458; age: β value = 0.013, s.e. = 0.020, t(58) = 0.647, p = 0.52, Cohen’s ƒ2 = 0.007. For all other trial types (i.e., Go to Avoid Losing (GAL), No-Go to Win (NGW), No-Go to Avoid Losing (NGAL)), the model that included an age-squared term provided a better fit than the model with age alone (GAL: F(1,58) = 9.937, p = 0.003; NGW: F(1,58) = 8.828, p = 0.004; NGAL: F(1,58) = 10.004, p = 0.002). For these three trial types, age and age-squared were significant predictors of accuracy (GAL age: β value = 0.089, s.e. = 0.020, t(58) = 4.447, p < 0.001, Cohen’s ƒ2 = 0.341; GAL age-squared: β value = − 0.064, s.e. = 0.020, t(58) = − 3.152, p = 0.003, Cohen’s ƒ2 = 0.171; NGW age: β value = 0.084, s.e. = 0.038, t(58) = 2.204, p = 0.032, Cohen’s ƒ2 = 0.084; NGW age-squared: β value =  − 0.116, s.e. = 0.039, t(58) =  − 2.971, p = 0.004, Cohen’s ƒ2 = 0.152; NGAL age: β value = 0.080, s.e. = 0.018, t(58) = 4.402, p < 0.001, Cohen’s ƒ2 = 0.334; NGAL age-squared: β value = − 0.058, s.e. = 0.018, t(58) = − 3.163, p = 0.002, Cohen’s ƒ2 = 0.172). Thus, apart from GW for which accuracy was the highest and was comparable across age, performance on the other three trial types exhibited significant nonlinear improvements from childhood into adulthood.

To quantify the Pavlovian influence on instrumental learning for each individual, we first calculated a Pavlovian performance bias score by averaging how often reward-related cues invigorated action (number of Go responses to Win cues/total number of Go responses) and how often punishment-related cues suppressed action (number of No-Go responses to Avoid Losing cues/total number of No-Go responses). A bias score of 0.5 indicates the absence of a Pavlovian bias; whereas higher scores reflect a greater Pavlovian bias on action, with 1 being the maximum bias score. The best-fitting linear model predicting age-related changes in this bias score included both age and age-squared as regressors, of which age-squared was a significant predictor of Pavlovian performance bias (F(1,58) = 4.136, p = 0.047; age: β value = −0.018, s.e. = 0.014, t(58) = − 1.271, p = 0.209, Cohen’s ƒ2 = 0.028; age-squared: β value = 0.03, s.e. = 0.015, t(58) = 2.034, p = 0.047, Cohen’s ƒ2 = 0.071). This analysis revealed that children and adults exhibited a greater Pavlovian bias than adolescents (Fig. 3). This bias appears to be driven comparably by both a reward-driven invigoration of action and a punishment-driven suppression of action (Supplementary Figure S2). A mixed-effects logistic regression corroborated this adolescent-specific attenuation of Pavlovian bias on learning (Supplementary Table S1).

### Computational modeling

By formalizing the value computations involved in learning from valenced outcomes, computational models can disentangle the contribution of a Pavlovian bias on choice behavior from differences in value updating, choice stochasticity, a value-independent bias toward action, or sensitivity to reward. We used reinforcement-learning models to dissociate the component processes of learning in the task and test whether the age-related changes observed in choice behavior could be attributed specifically to Pavlovian biases on action-value computation over the course of the learning task. We compared a set of nested reinforcement-learning models that were fit to participants’ data to determine which model best explained choice behavior across all participants. The models were chosen based on prior work in adults using a variant of this task (see Supplementary Table S2 for full list of models tested)21,33. Median Akaike Information Criterion (AIC) values, for which lower values reflect a better fit, were used to determine which model provided the best explanation of behavior37.

The model that best fit choice behavior included a learning rate, lapse rate, Go bias, Pavlovian bias, and a single reinforcement sensitivity term (Supplementary Table S2; see Methods for details on the other models tested). This model estimated an action-value (Q value or Q(a,s)), for each potential action ($$a$$; i.e., Go or No-Go) for each of the four robot stimuli (s). These Q value estimates were updated on every trial (t) using an error-driven learning function (Eq. 1). Outcomes (either 1, 0, -1) were included in the model through the reward term (r) and multiplied by a reinforcement sensitivity parameter (ρ) that scaled the effective size of rewards and punishments, with higher values magnifying differences between Q values. The difference between the effective reward on that trial (ρrt) and the previous Q value estimate (Qt-1($$a$$t,st)) indexes the reward prediction error, indicating whether the effective outcome was better or worse than expected. The Q value estimate was incrementally updated following each outcome by adding the reward prediction error scaled by a learning rate (α).

$$Q_{t} \left( {a_{t} ,s_{t} } \right) = Q_{t - 1} (a_{t} ,s_{t} ) + \alpha \left( {\rho r_{t} - Q_{t - 1} (a_{t} ,s_{t} )} \right)$$
(1)

Two weights were introduced that altered this action value estimate (weighted action estimate (Wt($$a$$t,st))). The first was a Go bias (b), which captured an increased tendency to press the button (Eq. 2).

$$W_{t} \left( {a,s} \right) = \begin{array}{*{20}l} {Q_{t} \left( {a,s} \right) + b } \hfill & {if\; a = go} \hfill \\ {Q_{t} \left( {a,s} \right)} \hfill & {else} \hfill \\ \end{array}$$
(2)

The second was a Pavlovian bias term (π) that was multiplied by the stimulus value estimate (Vt(s)) for each robot (Eq. 3). The Pavlovian bias parameter indexed the degree to which action was facilitated for cues associated with reward and inhibited for those associated with punishment. The stimulus value estimate was updated on each trial through reinforcement, in a similar manner to the Q value estimate (Eq. 4).

$$W_{t} \left( {a,s} \right) = \begin{array}{*{20}l} {Q_{t} \left( {a,s} \right) + b + \pi V_{t} \left( s \right)} \hfill & {if\; a = go} \hfill \\ {Q_{t} \left( {a,s} \right)} \hfill & { else} \hfill \\ \end{array}$$
(3)
$$V_{t} \left( {s_{t} } \right) = V_{t - 1} \left( {s_{t} } \right) + \alpha \left( {\rho r_{t} - V_{t - 1} \left( {s_{t} } \right)} \right)$$
(4)

Action values from the model were transformed into choice probabilities using a squashed softmax choice function38 that included a lapse rate (ξ), which captures the effects of inattention (Eq. 5).

$$p(a_{t} |s_{t} ) = \left[ {\frac{{exp(W(a_{t} |s_{t} )}}{{\mathop \sum \nolimits_{a^{\prime}} \exp \left( {W(a^{\prime}|s_{t} )} \right)}}} \right]\left( {1 - \xi } \right) + \frac{\xi }{2}$$
(5)

We then investigated patterns of age-related change for each free parameter in the model by performing linear regressions including age alone or both age and age-squared as predictors. Lapse rate, learning rate, and reinforcement sensitivity were best fit by linear regression models that included age alone (Table 1; Supplementary Fig. S3; lapse rate: F = 3.192, p = 0.079; learning rate: F = 0.121, p = 0.729; reinforcement sensitivity: F = 1.057, p = 0.308). However, age was not a significant predictor of lapse rate or learning rate, indicating no evidence of age-related changes in inattention or updating the value of an action (lapse rate: β value = − 0.027, s.e. = 0.026, t(58) =  − 1.02, p = 0.312, Cohen’s ƒ2 = 0.018; learning rate: β value = 0.056, s.e. = 0.033, t(58) = 1.672, p = 0.1, Cohen’s ƒ2 = 0.047). There was a significant effect of age on reinforcement sensitivity, revealing greater effective reinforcement with age (β value = 0.935, s.e. = 0.396, t(58) = 2.362, p = 0.022, Cohen’s ƒ2 = 0.095). The inclusion of age-squared in the model significantly improved the fit for the Go and Pavlovian bias parameters (Go bias: F = 4.447, p = 0.039; Pavlovian bias: F = 11.916, p = 0.001). Age-squared, but not linear age, was a significant predictor of the Go bias (age: β value =  − 0.039, s.e. = 0.112, t =  − 0.350, p = 0.728, Cohen’s ƒ2 = 0.002; age-squared: β value = 0.24, s.e. = 0.114, t = 2.109, p = 0.039, Cohen’s ƒ2 = 0.077). The Pavlovian bias significantly decreased linearly with age (β value =  − 0.903, s.e. = 0.223, t =  − 4.044, p = 0.001, Cohen’s ƒ2 = 0.282) and also exhibited a significant effect of age-squared (β value = 0.784, s.e. = 0.227, t = 3.452, p = 0.001, Cohen’s ƒ2 = 0.205). These nonlinear effects revealed that the Go bias and the Pavlovian bias parameter estimates were both attenuated in adolescents, relative to younger and older individuals. The significant linear relationship between Pavlovian bias and age suggests that, in addition to an adolescent-specific effect, this bias is highest in the youngest individuals and decreases with age. By using the parameter estimates from all compared models to simulate choice behavior for each participant, the best-fitting model qualitatively reproduced the pattern of behavior evident in Fig. 2b (see Supplementary Fig. S4 for predictions from all models). Although parameters from the best-fitting model exhibited some degree of correlation (Supplementary Table S3), parameter recovery revealed that all parameters were highly recoverable (see Parameter Recovery section of the supplement).

Finally, analysis of response times revealed that older participants made faster responses, and responses to reward-associated stimuli were faster when the correct response was “Go” (Supplementary Table S4).

## Discussion

In this study, participants were tasked with learning the optimal response to cues that were associated with either positive or negative outcomes. We investigated how hard-wired tendencies to approach cues associated with reward and to withhold action to cues associated with punishment might differentially constrain participants’ ability to learn optimal actions over the course of development. Unexpectedly, we found that adolescents’ learning was less biased, relative to both younger and older individuals, in two distinct ways. Whereas children and, to a lesser extent, adults exhibited a robust Pavlovian bias on their action value learning, this interference was reduced in adolescents. Adolescents also displayed a diminished bias toward action over inaction (the “Go” bias).

Children and adults in our sample, but not adolescents, exhibited a robust Pavlovian bias that was, in part, driven by a suppression of action to punishment-associated cues. In environments in which outcomes are stochastic, actions that are beneficial, on average, may yield occasional negative outcomes. Strong Pavlovian biases may prevent the continued engagement with previously punished contexts that is necessary to discover the opportunities for reward that they present41,42,43. Such tendencies to reflexively withdraw from or avoid situations associated with negative outcomes represent a type of “learning trap” that hinders an individual from sampling sufficiently to discern the true statistics of an environment, allowing potential rewards to go undiscovered44,45. Given the many novel contexts that adolescents encounter during their transition toward parental independence46,47, a reduced Pavlovian bias might facilitate exploration and unbiased evaluation of action values, allowing adolescents to approach uncertain or ambiguous situations to discover their true value48. However, such willingness to continue sampling in stochastic environments that may yield negative outcomes may contribute to a seemingly heightened willingness to take risks during this developmental stage49,50.

Studies examining the neural substrates of Pavlovian bias in adults suggest how age-related changes in the brain might give rise to the developmental pattern of behavior observed here. Consistent with computational models proposing that the value of both stimuli and actions are evaluated during learning61,62,63, the ventral and dorsal striatum, respectively, encode signals consistent with these computations64, and facilitate Pavlovian and instrumental behaviors65,66. The prefrontal cortex, through its projections to and from the striatum, is proposed to exhibit sensitivity to contexts in which stimulus and action values conflict and to enable attenuation of Pavlovian reactive biases in such contexts18,21,39. Corticostriatal circuitry undergoes marked structural and functional age-related changes from childhood into adulthood25,32,67,68,69,70,71,72,73,74. Reduced corticostriatal connectivity in children might constrain their ability to modulate Pavlovian biases on action learning, leading to the heightened expression of valence-action coupling in our youngest participants. Developmental increases in the integration between the prefrontal cortex and striatum may contribute to the linear reductions in these reactive responses with age. Dopamine, a neurotransmitter that innervates both the prefrontal cortex and the striatum, appears to modulate the expression of Pavlovian learning biases33,40. The dopaminergic system exhibits substantial reorganization across adolescence75,76, including nonlinear changes in dopamine receptor and transporter density77,78,79,80,81. Moreover, dopaminergic projections from the striatum to the prefrontal cortex continue to develop in adolescence82,83. Such nonlinear changes in the dopaminergic system and corticostriatal connectivity might contribute to the adolescent-specific attenuation of the Pavlovian bias. While the combined influence of these linear and nonlinear changes in corticostriatal circuits and dopaminergic signaling likely contributes to the developmental trajectory of Pavlovian bias expression, future studies are needed to understand the neural mechanisms underlying the age-related pattern observed here.

Although our study focused on interactions between Pavlovian and instrumental learning, an extensive literature further distinguishes two forms of instrumental action that are proposed to reflect distinct underlying computations84,85. “Goal-directed” actions are proposed to arise from a “model-based” learning process that computes the value of an action by prospectively searching a mental model of task contingencies and outcomes. In contrast, “habitual” action learning, forgoes the use of a model, instead allowing rewarding outcomes to directly reinforce associations between stimuli and responses. Habitual behavior is well approximated by a “model-free” reinforcement-learning algorithm that incrementally updates a stored estimate of the value of an action. Importantly, these two forms of instrumental action differ in their sensitivity to Pavlovian influence. Pavlovian reactions interfere with habitual behavior to a greater extent than goal-directed action22,86. Across tasks that assess these distinct forms of learning, adults who rely more on model-based strategies also exhibit reduced Pavlovian bias87. Moreover, pharmacological manipulation of dopamine alters both Pavlovian bias33,40 and the use of model-based strategies88, suggesting that a common neural mechanism contributes to the expression these distinct forms of value-based learning. While our task cannot directly differentiate goal-directed and habitual forms of instrumental learning, both goal-directed behavior and the model-based evaluations proposed to support it have been found to increase with age across development25,89,90,91,92. Thus, children’s greater reliance on model-free instrumental learning may confer heightened vulnerability to Pavlovian interference, with a shift toward model-based computation conferring greater resistance to Pavlovian bias with age.

The present study examined the extent to which Pavlovian responses constrain flexible action learning in healthy development. However, strong Pavlovian influences on instrumental action are characteristic of many forms of psychopathology that typically emerge during adolescence93,94, including substance abuse and anxiety disorders95,96,97,98,99. Adolescence is a period of heightened plasticity in the neural circuits that govern motivated behavior24,100,101,102,103, which may render adolescents’ expression of Pavlovian action biases particularly sensitive to experiential variation, such as stress exposure103,104. Consistent with this notion, past studies in rodents have observed that adolescents’ tendency to imbue cues that predict reward or punishment with inherent motivational value (i.e., “sign-tracking”), is reduced relative to adult animals105,106, but that this age-related pattern is reversed when adolescent animals are exposed to adverse rearing environments107,108. This experiential sensitivity aligns with evidence in humans that Pavlovian biases on action learning are exacerbated following adolescent exposure to trauma109. Further studies examining how life experience interacts with neural plasticity during adolescence to shape learning may shed light on mechanisms that promote resilience or susceptibility to psychopathology.

In this study, we characterized the developmental trajectory of reflexive Pavlovian constraints on flexible action learning. We found that the extent to which these valence-specific response tendencies interfered with instrumental action changed nonlinearly with age, showing a selective attenuation during adolescence. This decreased expression of hard-wired behavioral responses enables greater behavioral flexibility as adolescents learn to respond adaptively to opportunities and challenges in their environment. The influence of Pavlovian learning biases on fundamental behaviors that change over development such as exploration and planning, as well as their mechanistic role in multiple forms of psychopathology that typically emerge prior to adulthood, underscores the importance of a deeper understanding of how interactions between Pavlovian and instrumental learning systems contribute to adaptive and maladaptive behavior over the course of development.

## Methods

### Participants

Previous studies in adults using variants of this task found robust valence-action coupling in sample sizes of 20 participants total20,21 or group differences with 20–30 participants per group110,111. Thus, we targeted a sample size of 20 participants in each age bin, for a total of 60 participants. This is in line with sample sizes for previous studies that have examined developmental changes in evaluative processes36,89,92. Participants were recruited from the New York City metropolitan area through flyers and outreach events. Participants were screened to exclude for a diagnosis of mood or anxiety disorders, a learning disability, current use of beta-blockers or psychoactive medications, or colorblindness. Sixty-two individuals participated in the study. Data from one child were excluded due to a technical error. Our final sample size was 61 participants, consisting of 20 children (8–12 years old, n = 10 female, mean age: 10.55, SD: 1.34), 20 adolescents (13–17 years old, n = 11 female, mean age: 15.38, SD: 1.45), and 21 adults (18–25 years old, n = 10 female, mean age: 21.28, SD: 2.19). The sample included 31 Caucasians (50.82%), 14 individuals of mixed race (22.95%), 12 Asians (19.67%), 3 African Americans (4.92%), and 1 Pacific Islander (1.64%). Eleven participants identified as Hispanic (18.03%). The study protocol was approved by New York University’s Institutional Review Board, the University Committee on Activities Involving Human Subjects. All research was performed in accordance with the relevant guidelines and regulations. All adult participants and parents of minors provided written informed consent and minors provided assent prior to the study.

On each trial, participants saw the cue, which was one of the four robots (1,000 ms), followed by a fixation cross (250–3,500 ms), and then the target (described to participants as the robot’s “button”). When participants saw the robot’s “button”, they could decide whether to press the button via a keyboard press (“Go” response) or not press the button (“No-Go” response). Participants had 1,500 ms to respond. If they made a “Go” response, the border of the target would enlarge for the remainder of the 1,500 ms. Following the target, another fixation cross appeared on the screen (1,000 ms) prior to receiving probabilistic feedback (2000 ms). During the inter-trial interval, a fixation cross was presented on the screen (750–1,500 ms).

There were 45 trials for each of the four trial types, resulting in 180 trials total. The colors of the robots were randomized across participants. Stimuli were presented in pseudo-random order ensuring that each robot appeared fifteen times in each of three blocks. After every block of 60 trials, participants were given a break. Prior to the task, participants practiced making “Go” responses by pressing the button and withholding their button press to make “No-Go” responses. Participants also practiced pressing a button and not pressing a button for each type of robot, experiencing that a given robot would give (or take) a ticket for one action and not give (or take) a ticket for the other action. The probabilistic nature of the reinforcements was learned through instruction and experience during the actual game, although no information about the reinforcement probabilities was provided. To encourage learning, participants were instructed that the greater number of tickets won would result in more bonus money at the end of the study, though they were not informed of the specific relationship between tickets and money. In reality, all participants received a \$5 bonus regardless of their performance on the task. This experiment was programmed using Cogent 2000, a MATLAB toolbox.

### Statistical analysis

Age and age-squared were z-scored prior to inclusion in any linear regression. To calculate age-squared, age was first z-scored and then squared. All p-values reported within the manuscript reflect a two-tailed significance test unless otherwise indicated. Cohen’s ƒ2 is a measure of effect size for regression analyses and can be used to calculate the local effect size of predictors in multiple regression. Small, medium, and large effect sizes are represented by ƒ2 ≥ 0.02, ƒ2 ≥ 0.15, and ƒ2 ≥ 0.35, respectively112.

### Computational models

Model fitting procedures and parameter estimation were performed using maximum a posteriori method using the fmincon function in Matlab 9.1.0. In addition to the best-fitting model, we also compared models that divided the reinforcement sensitivity term into separate reward sensitivity (ρrew) and punishment sensitivity (ρpun) parameters, capturing asymmetry in the effective size of positive and negative reinforcement. Whereas the best-fitting model included weights on the action estimate, in the simplest models the weighted action estimate (Wt(at,st)) was equivalent to the Q value estimate.

The parameters were constrained as follows: the lapse rate and learning rate between 0 to 1; the reinforcement sensitivity parameters (ρ, ρrew, ρpun) and the Pavlovian bias between 0 and ∞; the Go bias parameter was not constrained (-∞ to ∞). Priors were chosen to be minimally informative and were based on previous reinforcement learning studies113. A prior of Beta(1.1, 1.1) was employed for parameters constrained between 0 and 1. A prior of Normal(0, 1) was employed for parameters constrained between negative infinity and infinity. A prior of Gamma(2, 3) was employed for parameters constrained between 0 and infinity.

## Data availability

Data are available on Open Science Framework: https://osf.io/4h6ne/.

## Code availability

Code to reproduce all analyses in the manuscript can be found on Open Science Framework: https://osf.io/4h6ne/.

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## Acknowledgements

This work was supported by a Jacobs Foundation Early Career Fellowship, a NARSAD Young Investigator Award, a Klingenstein-Simons Fellowship in Neuroscience, the National Science Foundation (CAREER Grant 1654393 to C.A.H. and Graduate Research Fellowship to H.A.R.), the NYU Vulnerable Brain Project, and the NYU High Performance Computing resources, service, and staff expertise. We are grateful to Shivani Hiralall for her assistance with participant recruitment and testing, Marc Guitart-Masip for sharing the original version of the task, and the families who participated in this study.

## Author information

Authors

### Contributions

H.A.R. and C.A.H. designed the study. H.A.R. implemented the task, collected the data, and performed analyses under the supervision of C.A.H. H.A.R. and C.A.H. wrote the manuscript.

### Corresponding author

Correspondence to Catherine A. Hartley.

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The authors declare no competing interests.

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Raab, H.A., Hartley, C.A. Adolescents exhibit reduced Pavlovian biases on instrumental learning. Sci Rep 10, 15770 (2020). https://doi.org/10.1038/s41598-020-72628-w