Visual summary of operating lessons from Amos Tversky.

Lessons from Amos Tversky

Tversky and Kahneman studied how people judge uncertain events and choose under risk. Their experiments identified heuristics that sometimes produce systematic errors. — Judgment under Uncertainty: Heuristics and Biases.

Part 1: Decision Making under Uncertainty

  1. On Subjective Probability: People often simplify probability judgments with a small set of heuristics; in some settings those shortcuts produce systematic errors. — Judgment under Uncertainty: Heuristics and Biases.
  2. On Prediction: When predicting from a description, people may rely on how representative it seems and underweight the evidence’s predictive reliability. — Judgment under Uncertainty: Heuristics and Biases.
  3. On the Law of Small Numbers: People can expect a small sample to resemble its parent population more closely than probability theory warrants. — Judgment under Uncertainty: Heuristics and Biases.
  4. On Gambler's Fallacy: People may view chance as self-correcting, expecting a run in one direction to be offset by a run in the other. — Judgment under Uncertainty: Heuristics and Biases.
  5. On Base Rates: In the authors’ experiments, case-specific descriptions could cause people to discount relevant prior probabilities. — Judgment under Uncertainty: Heuristics and Biases.
  6. On Randomness: People may regard ordinary streaks in random sequences as evidence of a nonrandom process. — Judgment under Uncertainty: Heuristics and Biases.
  7. On Illusion of Validity: A coherent or representative story can inspire confidence even when the evidence used to make the prediction is weak. — Judgment under Uncertainty: Heuristics and Biases.
  8. On Overconfidence: Confidence can remain high when predictions are based on evidence of little statistical validity. — Judgment under Uncertainty: Heuristics and Biases.

Part 2: The Architecture of Heuristics

  1. On Availability: Judgments of frequency or likelihood are sometimes guided by how readily examples come to mind. — Availability: A Heuristic for Judging Frequency and Probability.
  2. On Salience: Vivid or recent examples may be easier to retrieve, causing their frequency or probability to be overestimated. — Judgment under Uncertainty: Heuristics and Biases.
  3. On Anchoring: An initial value can anchor a numerical judgment; subsequent adjustments are often too small. — Judgment under Uncertainty: Heuristics and Biases.
  4. On Representativeness: People sometimes judge probability from how closely a case resembles a category, even when that neglects other relevant information. — Subjective Probability: A Judgment of Representativeness.
  5. On the Conjunction Fallacy: In their experiments, some people judged a detailed conjunction more likely than one of its constituent events, contrary to the conjunction rule. — Extensional Versus Intuitive Reasoning: The Conjunction Fallacy in Probability Judgment.
  6. On Imaginability: When examples are not readily retrievable, the ease of imagining possible outcomes can influence frequency estimates. — Judgment under Uncertainty: Heuristics and Biases.
  7. On Cognitive Effort: Heuristics make difficult probability judgments more manageable, but the simplification can produce systematic errors. — Judgment under Uncertainty: Heuristics and Biases.
  8. On Job Suitability: A job candidate’s resemblance to an occupational stereotype is not a substitute for base-rate and predictive evidence. — Judgment under Uncertainty: Heuristics and Biases.

Part 3: Loss Aversion and Prospect Theory

  1. On Asymmetric Valuation: In prospect theory, losses typically have a steeper impact on value than corresponding gains. — Prospect Theory: An Analysis of Decision under Risk.
  2. On Reference Points: Outcomes are evaluated as gains or losses relative to a reference point rather than by final wealth alone. — Prospect Theory: An Analysis of Decision under Risk.
  3. On Risk Seeking: Across the paper’s experimental choices, people often preferred a gamble to a sure loss. — Prospect Theory: An Analysis of Decision under Risk.
  4. On Risk Aversion: Across the paper’s experimental choices, people often preferred a sure gain to a gamble. — Prospect Theory: An Analysis of Decision under Risk.
  5. On the Endowment Effect: Reference-dependent loss aversion helps explain why giving up an owned good can feel more costly than acquiring it feels valuable. — Loss Aversion in Riskless Choice: A Reference-Dependent Model.
  6. On Status Quo Bias: A status quo can serve as a reference point, so moving away from it may be experienced as a loss. — Loss Aversion in Riskless Choice: A Reference-Dependent Model.
  7. On Certainty Effect: The original experiments found that certainty can receive disproportionate weight compared with a merely probable outcome. — Prospect Theory: An Analysis of Decision under Risk.
  8. On Probability Weighting: Their cumulative prospect theory models decision weights that differ from objective probabilities, especially around extreme probabilities. — Advances in Prospect Theory: Cumulative Representation of Uncertainty.
  9. On Isolation Effect: When comparing prospects, people can isolate the differing components and overlook shared features, changing the choice. — Prospect Theory: An Analysis of Decision under Risk.

Part 4: The Framing of Choices

  1. On Perspective: Equivalent choice problems can elicit different preferences depending on how outcomes are described. — The Framing of Decisions and the Psychology of Choice.
  2. On Language: In the Asian disease experiment, describing outcomes as lives saved versus deaths changed many participants’ preferred option. — The Framing of Decisions and the Psychology of Choice.
  3. On Rationality Requirements: Invariance requires equivalent formulations of a decision to yield the same preference; the authors’ framing experiments show violations of that requirement. — The Framing of Decisions and the Psychology of Choice.
  4. On Mental Accounting: A theater-ticket example shows that people may treat equivalent losses differently depending on which mental account is affected. — The Framing of Decisions and the Psychology of Choice.
  5. On Problem Representation: A description can establish a reference point that makes an outcome appear to be a gain or a loss. — The Framing of Decisions and the Psychology of Choice.

Part 5: Cognitive Illusions and Statistical Blindness

  1. On Regression to the Mean: Regression toward the mean can make outcomes following unusually good or bad performances seem caused by rewards or punishment. — Judgment under Uncertainty: Heuristics and Biases.
  2. On the Hot Hand Fallacy: Tversky and colleagues’ famous basketball analysis argued against a hot hand; later reanalysis challenged that inference, showing how sensitive streak tests can be to method. — Surprised by the Hot Hand Fallacy? A Truth in the Law of Small Numbers.

Part 6: Collaboration and Intellectual Friendship

  1. On Joint Thinking: Kahneman described the partnership as a joint mind that generated ideas neither researcher expected to produce alone. — Experiences of Collaborative Research.
  2. On the Creative Process: Kahneman recalls that much of their research developed through extended conversation and jointly chosen examples. — Experiences of Collaborative Research.
  3. On Constructive Criticism: Kahneman describes a collaboration in which they examined and criticized each other’s ideas closely, without guarding individual ownership. — Experiences of Collaborative Research.
  4. On Ego and Credit: They settled the first paper’s author order by a coin toss and then alternated order on later joint papers. — Experiences of Collaborative Research.
  5. On Laughter in Science: Kahneman recalls that their best collaborative work was accompanied by prolonged laughter. — Experiences of Collaborative Research.
  6. On Contrasting Styles: Kahneman says their working relationship was unusually close; later portraits that sharply opposed their personalities dramatized the contrast. — Experiences of Collaborative Research.
  7. On Interdisciplinary Work: Their joint work connected psychological experiments on judgment with formal theories of risky choice. — Experiences of Collaborative Research.

Part 7: The Philosophy of Research and Time

  1. On Waste and Productivity: Michael Lewis recounts Tversky’s view that leaving time apparently unproductive could be essential to doing worthwhile research. — Michael Lewis on The Tim Ferriss Show.
  2. On the Value of Error: Systematic mistakes in judgment can reveal the mental shortcuts used to assess uncertainty. — Judgment under Uncertainty: Heuristics and Biases.
  3. On Clarity: Kahneman recalls that the pair worked carefully on precise, readable wording for their papers. — Experiences of Collaborative Research.
  4. On Triage: Michael Lewis recounts that Tversky discarded much incoming mail when it did not warrant his time. — The Men Who Started a Thinking Revolution.
  5. On Escaping Boring Situations: Michael Lewis recounts Tversky’s habit of leaving meetings or gatherings he found unproductive. — The Men Who Started a Thinking Revolution.

Part 8: Human Nature and the Myth of Rationality

  1. On Rationality: The authors distinguish normative requirements of rational choice from descriptive evidence about how people actually decide. — The Framing of Decisions and the Psychology of Choice.
  2. On Emotion and Choice: Framing an outcome as a gain or a loss can alter the choices observed in experiments, even when the underlying outcomes are equivalent. — The Framing of Decisions and the Psychology of Choice.
  3. On Economic Man: The experiments challenged the descriptive adequacy of expected-utility theory for several common risky choices. — Prospect Theory: An Analysis of Decision under Risk.
  4. On Complexity: In his later account of work with Tversky, Kahneman describes how an accessible attribute can sometimes stand in for a harder target judgment. — A Perspective on Judgment and Choice: Mapping Bounded Rationality.