Interference inhibition is a core component of cognitive control, referring to the ability to complete goal-directed tasks by suppressing distracting or competing cognitive processes. Previous research on the effects of reward on interference inhibition has yielded inconsistent findings (facilitative vs. null effects). The expected value of control (EVC) theory provides an integrative framework. It proposes that the allocation of cognitive control resources depends on a cost-benefit trade-off, with efficacy playing a key moderating role. Efficacy refers to the degree to which task performance predicts reward. However, existing research generally treats efficacy as a static property and overlooks its distinct temporal forms. Efficacy is fundamentally an expectation formed through accumulated feedback and may comprise both a short-term, trial-level component and a more stable, cross-trial component. To date, no study has systematically examined whether the temporal dimension of efficacy determines the depth at which reward influences different levels of cognitive control. Accordingly, the present study aimed to investigate how immediate efficacy and cumulative efficacy, as two temporal forms of efficacy, modulated the impact of reward on overall cognitive performance and on interference inhibition as a higher-level control process.
The present study employed the classic color-word Stroop task and rigorously controlled relative task difficulty using individualized reaction-time thresholds to eliminate confounds arising from differences in expected cost. Across two experiments, we separately manipulated immediate efficacy and cumulative efficacy in order to systematically examine how the temporal dimension of efficacy shaped the level at which reward influenced cognitive control. Reward levels were set as high (¥1) and low (¥0.1). In the high-efficacy condition, rewards were contingent on task performance, whereas in the low-efficacy condition, rewards were randomly assigned. Experiment 1 (n= 39) used a 2 (immediate reward: high, low) × 2 (immediate efficacy: high, low) × 3 (congruency: incongruent, congruent, neutral) within-subject design. Reward and efficacy cues were presented before each trial to investigate the effects of immediate reward and immediate efficacy on interference inhibition. Results indicated that immediate efficacy moderated the effect of immediate reward on overall cognitive performance, with reward producing greater improvements in reaction speed under high efficacy conditions (F(1, 38) = 22.25, p <.001, ηp2 =.37). However, neither factor significantly influenced interference inhibition (Stroop effect).
Previous research suggests that efficacy exhibits cumulative learning characteristics, requiring multiple interactions with the environment to integrate task feedback and prediction errors. Psychological momentum theory further supports this view, proposing that repeated positive feedback enhances an individual’s psychological energy, thereby improving behavioral performance. Based on these considerations, experiment 2 (n= 33) employed a 2 (immediate reward: high, low) × 2 (cumulative efficacy: high, low) × 3 (congruency: incongruent, congruent, neutral) within-subject design. Efficacy cues were presented at the beginning of each block, and reward cues were presented before each trial, to examine the effects of immediate reward and cumulative efficacy on interference inhibition. Results demonstrated that cumulative efficacy moderated the effects of immediate reward on both overall cognitive performance (F(1, 32) = 4.57, p <.05, ηp2 =.13) and interference inhibition (F(1, 32) = 10.46, p <.01, ηp2 =.25). Under high efficacy conditions, high reward enhanced interference inhibition, whereas under low efficacy conditions, high reward reduced interference inhibition.
The present study introduced the temporal dimension of efficacy for the first time and demonstrated that this dimension modulated the level at which reward influenced cognitive control. Immediate efficacy modulated only the effect of reward on overall cognitive performance, whereas cumulative efficacy allowed the influence of reward to extend to the level of interference inhibition. This work provides more fine-grained and explanatory behavioral evidence for the EVC framework and deepens our understanding of how motivation shapes cognitive control.