
A loyalty card offering a coffee after ten stamps may disappear into a wallet after the first stamp. With only two left, however, people are more likely to remember the card and may shorten the interval between purchases. The goal-gradient effect describes this average tendency: as a clear, attainable finish line feels closer, effort may accelerate.
Kivetz, Urminsky and Zheng studied real loyalty programs, online tasks and experiments, finding that participants increased their activity as they approached a reward. More intriguingly, the framing of identical work could alter progress. A standard card requiring ten purchases and a twelve-space card carrying two pre-stamped “bonus” spaces both left ten purchases to make. The second card made the task feel already begun and partly completed, which encouraged persistence. This is not quite the same as the sunk-cost effect. The central issue is not merely reluctance to waste past effort, but the perceived distance still remaining.
This is not a law that says any progress bar will make anyone persist. The endpoint must be understood, the reward must matter and the progress must seem credible. If the task is not worth doing, approaching an artificial subgoal may even displace something more important. Much of the evidence comes from consumer settings and short tasks, so it does not show that all learning, health or work goals accelerate in the same way. A more careful conclusion is that goal distance can shape motivation, but it is one condition rather than a measure of willpower.
https://business.columbia.edu/faculty/research/goal-gradient-hypothesis-resurrected-purchase-acceleration-illusionary-goal
https://academic.oup.com/jcr/article-abstract/32/4/504/1787425
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