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Artificial intelligence (AI) is becoming increasingly intertwined with both our everyday lives and the workplace. However, in many real-world contexts, AI is not yet capable of fully automating decision-making processes1. Certain tasks remain particularly challenging for AI due to current technological limitations, as well as ethical and legal considerations. As a result, granting full autonomy to AI in specific domains is often impractical or inadvisable2,3. Humans, therefore, continue to play an indispensable role in the workplace, and human-AI collaboration is expected to become a dominant mode of production and service delivery in the future. Research in areas such as healthcare, hospitality, and human resources has shown that collaborative efforts between humans and AI can reduce costs and, in some cases, enhance efficiency4,5,6.
In human-AI collaboration, each party is expected to undertake tasks that align with its respective strengths, while delegating less suitable tasks to the other. Therefore, effective task delegation is essential for successful collaboration and optimal performance outcomes. Adam et al. found that when the delegation process is fully automated and handled solely by AI without human involvement, humans tend to experience heightened perceptions of self-threat7. Fuegener et al. further reported that during the process of delegating tasks to AI, people often struggle to accurately assess their own capabilities or evaluate task difficulty, reflecting a low level of metacognition8. These findings highlight the importance of enhancing metacognition in human-AI delegation scenarios to improve the efficiency and quality of collaboration.
Metacognition refers to an individual's ability to evaluate their own capabilities9. In the context of mutual delegation between humans and AI, it is essential not only to form an accurate understanding of the other party's capabilities but also to evaluate one's own abilities to determine when delegation is appropriate. Jussupow et al. found that human-AI collaboration is most effective when humans demonstrate high levels of metacognition-that is, when they can accurately assess both their own abilities and those of the AI10. Similarly, Atchley et al. found that fostering metacognition in educational settings can promote deeper and more effective collaboration between humans and AI systems11. Previous studies on human-AI collaboration have often assessed metacognition through self-report questionnaires or by using human confidence ratings as indirect measures. However, in psychological research, a more established and rigorous measure of metacognition is metacognitive sensitivity (meta-d')12. In the present study, we use meta-d', following the approach described by Maniscalco et al. to assess metacognitive sensitivity13.
Transcranial direct current stimulation (tDCS) has been widely used in research aimed at enhancing metacognition14. Core aspects of metacognition are closely associated with the prefrontal cortex. tDCS delivers a weak direct current to specific brain regions, modulating neuronal excitability and synaptic plasticity in a non-invasive and non-intrusive manner, thereby allowing researchers to improve various cognitive functions15. Harty et al. found that anodal stimulation over the right dorsolateral prefrontal cortex (DLPFC) enhanced participants' error detection performance in an error awareness task, thereby improving their metacognitive monitoring of cognitive performance16. Bona and Silvanto reported that anodal tDCS affected metacognitive bias in a working memory task17. Mattes et al. showed that while tDCS influenced participants' confidence ratings in both metacognition and mentalizing tasks, it did not alter their metacognitive sensitivity18. Temporary disruption or damage to the prefrontal cortex-specifically Brodmann areas 46 and 10-in both humans and monkeys has been shown to induce changes in metacognitive processes14. In addition, previous studies have provided causal evidence linking stimulation of the DLPFC to metacognitive abilities19,20. The right DLPFC, in particular, plays a key role within the neural network underlying cognitive control21,22, which is closely related to the demands of our experimental task. Therefore, we selected the right DLPFC as our target site for stimulation. Consistent with established protocols in tDCS studies on metacognition, we applied a 2 mA current for 21 min, including a 1 min ramp-up and ramp-down phase17,23. Currently, the highest current intensity used in tDCS is 4 mA, which has been shown to be tolerable for participants in the study conducted by Workman et al.24.
High-definition transcranial direct current stimulation (HD-tDCS) is a high-precision modification of conventional tDCS, offering more targeted neuromodulation through specialized electrode montages. Compared to conventional tDCS, which uses two large pad electrodes, HD-tDCS allows for more targeted and focal stimulation of specific brain regions, resulting in more sustained effects25,26. In contrast to neurofeedback techniques that also aim to enhance cognitive performance27, HD-tDCS offers several practical advantages, including a shorter activation period, simpler application procedures, and lower implementation costs28. From the perspective of human-AI task delegation, HD-tDCS offers higher spatial precision, ease of operation, and cost-effectiveness. Moreover, it allows participants to engage in sustained tasks involving delegation and reflection within contexts that approximate real-life or workplace scenarios, making it especially suitable for probing metacognition in human-AI delegation. In this study, HD-tDCS was employed to deliver more targeted stimulation to the DLPFC.
Experimental design
The experimental materials were sourced from the ImageNet Large Scale Visual Recognition Challenge (ILSVRC)29. The AI model was GoogLeNet Inception v3, one of the top-performing models in image classification tasks30.
The experimental task was a human-AI delegation task, specifically an image classification task. Image classification involves assigning a target image to a category, and it is a general task that does not require any domain-specific training or prior expertise. Tasks based on specific situational backgrounds may compromise generalizability. For example, in high-stakes scenarios involving potential loss, people tend to delegate decisions to AI31, effectively making it the team's scapegoat32. The task used in this study was adapted from the human-AI collaborative classification paradigm developed by Fuegener et al. and by Gass et al.8,33.
A preliminary experiment was conducted to assess the difficulty level of the image. Image difficulty is the average accuracy of the corresponding image in the human alone condition. As shown in Figure 1, each trial consisted of a target image and five sets of image options. Participants were asked to choose the option set that best matched the target image. A total of 217 participants completed the preliminary study. All participants in the preliminary study were excluded from recruitment for the main experiment.

Figure 1: Preliminary experiment Interface. Interface shown to participants in the preliminary experiment, where they selected one response from five options. Please click here to view a larger version of this figure.
In the formal experiment interface (see Figure 2), a target image is displayed at the top of the screen. Additionally, five image group options and one delegation option (located at the top right of the screen) are presented. Participants need to decide between delegating the task to the AI and completing it themselves. In the latter case, they select one of the five image category options that best matches the target image. After each decision, the interface advances to the next page, where participants are asked to rate their confidence in their delegation decision on a scale from 1 to 4. Before the formal experiment began, participants were informed that the AI system had an average accuracy of 76%.

Figure 2: Formal experiment Interface. Main interface shown to participants during the task. (A) The task interface; (B) the confidence rating interface. Please click here to view a larger version of this figure.
A total of 62 right-handed participants were recruited for the main experiment. All participants were graduate students who had no prior experience with similar experimental tasks. The exclusion criteria were as follows: participants must not have taken any sedative-hypnotic drugs or psychoactive substances within 24 h prior to the experiment, must have no cranial defects (e.g., holes or fractures), and must not have any metal implants in the skull (e.g., metal plates). Two participants were excluded: one due to dermatological inflammation that prevented HD-tDCS stimulation, and one for ingesting a caffeinated beverage prior to the experiment. The remaining 60 participants (mean age = 22.68 ± 0.91 years) completed the experiment. They were randomly assigned to one of three stimulation conditions-anodal, cathodal, or sham-each with 20 participants. The electric field simulations are shown in Figure 3. Each participant performed the image classification task once before and once after stimulation, yielding 120 data sets for analysis. The HD-tDCS procedure is illustrated in Figure 4, and the experimental workflow is summarized in Figure 5. We conducted an a priori power analysis using G*Power 3.134, assuming a power of 90% (1 - β = 0.90), an effect size of f = 0.25, and an alpha level of 0.05. The analysis indicated that a minimum of 18 participants per group would be required. Our final sample size met this requirement.

Figure 3: Electric field simulation. Lateral view of the electric field distribution (right side). (A) Anodal stimulation condition. (B) Cathodal stimulation condition. Please click here to view a larger version of this figure.

Figure 4: HD-tDCS experimental setup. Photograph of the HD-tDCS experimental setup, illustrating the electrode placement and device position during stimulation. Please click here to view a larger version of this figure.

Figure 5: Experimental flowchart. The experiment comprised three phases, including image classification tasks conducted before and after the stimulation. Abbreviations: HD-tDCS = high-definition transcranial direct current stimulation; rDLPFC = right dorsolateral prefrontal cortex. Please click here to view a larger version of this figure.