Randomness and inductions from streaks: "gambler's fallacy" versus "hot hand"

Area of Science:

• Cognitive Psychology
• Behavioral Economics
• Decision Science

Background:

• Humans exhibit contradictory beliefs about event streaks: the gambler's fallacy (streaks will break) and the hot hand fallacy (streaks will continue).
• Both fallacies have been attributed to a 'law of small numbers,' where small samples are overgeneralized.

Purpose of the Study:

• To investigate the role of perceived randomness in distinguishing between the gambler's fallacy and the hot hand fallacy.
• To determine if beliefs about the underlying process's randomness influence streak continuation predictions.

Main Methods:

• Participants were presented with information about streaks of independent events.
• Scenarios were manipulated to vary perceived randomness of the event-generating mechanism.
• A manipulation check confirmed the effectiveness of the randomness manipulation.

Main Results:

• Perceived randomness significantly influenced beliefs about streak continuation.
• In scenarios judged as less random, participants were more inclined to predict streak continuation.
• This suggests that perceived non-randomness drives the hot hand belief.

Conclusions:

• Beliefs about the randomness of an event-generating process are a key factor differentiating the gambler's fallacy and the hot hand fallacy.
• When events appear non-random, people are more likely to expect streaks to continue.
• Future research should explore the cognitive mechanisms underlying these distinct inductive reasoning patterns.