Rational Decisions

Rational decisions are choices made by evaluating available information, possible consequences, and personal goals, making them a central topic in psychology and behavioral science. Decision makers compare alternatives, estimate the likelihood and value of outcomes, and select the option expected to provide the greatest benefit, although limited information, time, and cognitive biases can constrain this process. Studying rational decisions helps psychologists explain judgment and choice in everyday life, health, education, work, and social behavior. This research also informs decision-support tools and interventions designed to improve reasoning, reduce predictable errors, and support choices aligned with long-term goals.

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Using Your Head: Measuring Infants' Rational Imitation of Actions

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2023

Source: Laboratories of Judith Danovitch and Nicholaus Noles—University of Louisville One of the main challenges of infancy is to learn how to achieve one’s goals in the world, whether they are to pick up a toy or to express desires to another person, and one of the most powerful tools in this learning process is imitation. However, imitation is not always as simple as copying other people’s actions; it is also necessary to realize that goals and intentions guide behavior. The world is a...

Thinking Too Much Impairs Decision-Making

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2023

Source: Peter Mende-Siedlecki & Jay Van Bavel—New York University When we are considering a tough choice between two or more attractive options, we often end up actively weighing the pros and cons of each alternative. By reflecting on their advantages and disadvantages, we attempt to fit a complex, subjective decision into an orderly set of criteria. However, research in psychology suggests that this sort of introspective approach might not always yield the most optimal outcomes.1 In other...

Decision-making and the Iowa Gambling Task

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2023

Source: Laboratories of Jonas T. Kaplan and Sarah I. Gimbel—University of Southern California Decision-making is an important component of human executive function, in which a choice about a course of action or cognition is made from many possibilities. Damage to the inferior parts of the frontal lobes can affect a person's ability to make good decisions. However, while decision-making deficits can have a large impact on one's life, these deficits can be difficult to quantify in the laboratory.

Rationalizing Substitutions

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2026

Integrals involving non-rational functions are often difficult to evaluate using standard techniques, especially when radicals appear in the integrand. Rationalizing substitution provides a systematic method for simplifying such integrals by converting them into rational forms that are easier to handle.Consider a rod whose linear mass density depends on a constant linear density, a characteristic length, and the distance from the left end of the rod. Determining the total mass requires...

Rational Expressions

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2025

Rational expressions are algebraic fractions in which both the numerator and the denominator are polynomials. These expressions follow the arithmetic rules of numerical fractions but require extra care due to the presence of variables. A fundamental part of working with rational expressions is identifying values that make the expression undefined, typically those that result in division by zero or undefined radicals.Determining the DomainThe domain of a rational expression includes all real...

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