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Amos Tversky


Amos Tversky (March 16, 1937 – June 2, 1996) was an Israeli-American cognitive psychologist whose empirical research on human judgment and decision-making under uncertainty revealed systematic cognitive biases and challenged assumptions of rational behavior in economics and related fields.
In collaboration with Daniel Kahneman, Tversky co-developed the heuristics and biases research program, identifying mental shortcuts such as availability and representativeness that lead to predictable errors in probabilistic reasoning. Their seminal 1979 paper introduced prospect theory, which posits that people evaluate potential gains and losses asymmetrically relative to a reference point, exhibiting loss aversion and diminishing sensitivity—empirically refuting expected utility theory as a descriptive model of choices under risk.

Tversky's work extended to framing effects, where identical options yield different decisions based on presentation, influencing applications in policy, law, and medicine. A professor at Stanford University from 1978 and holder of the Davis-Brack Professor of Behavioral Sciences chair, he earned the American Psychological Association's Distinguished Scientific Contribution Award in 1982 and a MacArthur Fellowship in 1984 for advancing understanding of intuitive processes in decision-making.

Early Years

Childhood and Family Background

Amos Tversky was born on March 16, 1937, in , then part of . His parents had immigrated to the region from ; his father, Yosef Tversky, was a originally from , while his mother, Genia (or Jenia) Tversky, worked as a social worker. Genia Tversky later entered politics, serving as a member of Israel's from its founding in 1948 until her death in 1964, representing the party and focusing on labor and welfare issues. The family's Zionist commitments shaped their relocation and early life in the nascent . Tversky grew up with one sibling, an older named , who was approximately thirteen years his senior. Limited public details exist on his immediate childhood experiences, but his mother later recalled that he was largely self-taught, displaying early aptitude in areas such as without formal instruction. This intellectual foreshadowed his later analytical rigor, though the family's emphasis on and resilience in a post-immigration, pre-state environment likely reinforced such traits.

Education

Tversky completed his secondary education in before mandatory military service interrupted his studies. Following his discharge from the , he enrolled at the , where he pursued undergraduate studies in and . He received a degree from the institution in 1961. In 1961, Tversky traveled to the to pursue graduate studies, enrolling in the program at the . There, he conducted research under the supervision of faculty including Clyde Coombs, focusing on and processes. He earned his Ph.D. in from the in 1965, with a dissertation examining preference reversals and utility theory. During this period, he met his future wife, , also a at Michigan.

Military Service

Service in the Israel Defense Forces

Tversky was conscripted into the shortly after completing high school in 1955 and assigned to the , where he underwent rigorous training that included over fifty parachute jumps. He rose to the rank of during his service, demonstrating leadership in combat operations. Tversky participated in three major conflicts: the 1956 (also known as the Sinai Campaign), during which he parachuted into combat; the 1967 , where he commanded an unit; and the 1973 as a reserve officer. For his bravery in these engagements, he received multiple citations, including the highest military decoration available in the Israeli army for a specific incident of valor that he rarely discussed. His military experiences, marked by direct exposure to high-stakes decision-making under uncertainty, later informed aspects of his psychological research on judgment and risk.

Academic Career

Professional Appointments

Tversky held his first academic position following his Ph.D. from the in 1965, teaching at the from 1966 to 1978, where he advanced from lecturer to full professor of . During this period, he also maintained visiting or teaching roles at the and . In 1970, Tversky joined as a fellow at the Center for Advanced Study in the Behavioral Sciences, transitioning to a full faculty appointment in 1978 as the inaugural Davis-Brack Professor of Behavioral Decision Making in the Department of Psychology. He remained at Stanford until his death in 1996, contributing to interdisciplinary initiatives including the co-founding of the Stanford Center on Conflict and Negotiation. Later in his career, Tversky held a senior visiting professorship in economics and psychology at Tel Aviv University starting in 1992, alongside a permanent fellowship at the Sackler Institute of Advanced Studies there. He also maintained periodic affiliations with the Hebrew University, including during 1984–1985.

Collaboration with Daniel Kahneman

Amos Tversky and Daniel Kahneman began their collaboration in 1969, when Tversky delivered a guest lecture in Kahneman's seminar on judgment and decision-making at the Hebrew University of Jerusalem, revealing aligned views on intuitive errors in probabilistic reasoning. Their partnership, which lasted until Tversky's death in 1996, produced over two hundred joint publications and fundamentally reshaped understandings of human cognition by documenting systematic deviations from rational models in economics and statistics. Early joint research targeted heuristics—mental shortcuts—in judgment under uncertainty, culminating in the 1974 Science paper "Judgment under Uncertainty: Heuristics and Biases," which identified key mechanisms like the (judging probability by ease of recall), (overreliance on stereotypes ignoring base rates), and anchoring (insufficient adjustment from initial values). Experiments in this work, such as the problem, demonstrated conjunction fallacies where participants rated a specific scenario (e.g., "feminist ") more probable than a general one (""), violating . In 1979, Tversky and Kahneman introduced in the article "Prospect Theory: An Analysis of Decision under Risk," critiquing expected utility theory by showing decisions reference gains and losses relative to a neutral point, with losses looming larger than equivalent gains () and diminishing sensitivity for extreme outcomes. The theory's value function is S-shaped: for gains () and convex for losses (risk seeking), while probability weighting overvalues small probabilities and undervalues moderate-to-high ones. This framework explained phenomena like the and framing effects, where identical choices yield different outcomes based on presentation (e.g., survival vs. mortality frames in Asian disease problem). Their collaboration extended to applications in policy and finance, influencing , though Tversky handled much of the mathematical formalization while Kahneman focused on psychological insights; Tversky's seniority often led to his name appearing first on publications. Kahneman received the 2002 Nobel Memorial Prize in Economic Sciences for this joint research, as Tversky had passed away six years prior.

Key Theoretical Contributions

Tversky, in collaboration with , developed the heuristics-and-biases research program, which demonstrated systematic deviations from rational norms in human judgment under uncertainty. Their 1974 paper identified three core heuristics: representativeness, where probability assessments rely excessively on perceived similarity to a while neglecting base rates; availability, where ease of recall substitutes for frequency estimation; and anchoring and adjustment, where initial values final judgments despite adjustments. These heuristics explain errors in probabilistic reasoning, such as the , where a specific is deemed more probable than its general class, as shown in experiments where participants rated " and active in the " as more likely than "." A cornerstone of Tversky's contributions is , co-formulated with Kahneman in 1979 as a descriptive model of under , supplanting expected utility theory's assumption of risk neutrality. The theory posits a value function defined over gains and losses relative to a reference point, S-shaped with concavity for gains () and convexity for losses (), and a steeper slope for losses, quantifying at approximately twice the sensitivity to equivalent gains. It also incorporates nonlinear probability weighting, overweighting small probabilities and underweighting moderate-to-high ones, supported by empirical lotteries where choices violated dominance and independence axioms. Tversky extended these insights into framing effects, where equivalent outcomes described differently elicit inconsistent preferences, such as risk-averse choices for gain frames versus risk-seeking for loss frames in Asian disease problem experiments. In 1994, with J. Koehler, Tversky introduced support theory, a nonextensional model of subjective probability where judgments depend on the explicitness of event descriptions rather than intrinsic probabilities. The formalizes "support" as the evidential basis for a , predicting unpacking biases—e.g., judging " by " less likely than the unpacked " by , , or "—via a ratio rule: judged probability equals support raised to a subadditivity , empirically fitted around 0.65-0.70 across studies. This framework accounts for violations of additivity without invoking coherence motives, emphasizing descriptive adequacy over normative prescriptions.

Other Research Areas

Tversky introduced the elimination by aspects (EBA) model in 1972 as an alternative to compensatory theories, describing as a non-compensatory process where alternatives are sequentially eliminated based on whether they possess a selected , beginning with the most one and proceeding to less critical aspects until a single option remains. The model predicts probabilities as products of aspect inclusion probabilities across elimination stages, supported by empirical tests showing better fit to data from multi-attribute tasks than additive models, particularly under high complexity where full evaluation becomes infeasible. In the domain of similarity and categorization, Tversky's 1977 contrast model formalized similarity judgments through set-theoretic operations on object features, defining similarity as \alpha S(A,B) + \beta S(B,A) - \gamma D(A,B), where S represents matching features and D distinctive ones, with parameters allowing and context-dependence. This framework critiqued Euclidean metric assumptions in by demonstrating that similarity ratings often violate distance axioms, such as and the , as evidenced in experiments with geometric figures and semantic categories where directionality (e.g., resembling the more than vice versa due to diagnostic features) influenced perceptions. Toward the end of his career, Tversky co-developed support theory in 1994 with Derek J. Koehler, providing a nonextensional account of subjective probability where judgments depend on the explicitness of event descriptions rather than objective extensions. The theory posits that probability assessments arise from the relative support—hypothetical evidence strength—for focal hypotheses, leading to unpacking effects (e.g., judging the probability of by accident higher when subcauses like , , and are listed separately than packed as "accident"); empirical validation came from studies showing consistent violations of additivity and biases aligning with support ratios. This work extended beyond traditional Bayesian models by accommodating description-dependent biases without invoking motives.

Research Approach

Methodological Foundations

Tversky's methodological approach integrated with controlled empirical investigations, emphasizing formal modeling to dissect cognitive processes in judgment and decision-making. Early in his career, he critiqued metric-based similarity models, such as those rooted in , for failing to account for asymmetric and context-dependent perceptions; instead, he proposed the contrast model, which posits similarity as a function of common and distinctive features weighted by their diagnosticity and salience, tested through pairwise comparisons and analyses. This framework employed quantitative techniques, including set-theoretic representations and probabilistic assessments, to predict preference reversals and perceptual distortions under varying attentional foci. In his collaborative work with , Tversky advanced the heuristics-and-biases paradigm, utilizing vignette-style experiments to probe deviations from normative rationality in probabilistic inference. Participants, often undergraduate students or professionals, received concise textual scenarios eliciting intuitive estimates of probability, correlation, or causation, with responses analyzed for systematic biases attributable to heuristics like representativeness (judging likelihood by resemblance to a ), availability (retrievability from ), and anchoring-and-adjustment (insufficient modification from an initial value). These studies typically involved between-subjects designs to mitigate demand effects, presenting problems as neutral puzzles without financial incentives or extended training, thereby capturing uncorrected intuitions rather than deliberate deliberation. Tversky's methods extended to support theory, a nonextensional model of subjective probability, where unpackings of event descriptions (e.g., specifying subcomponents) inflate perceived likelihoods, demonstrated via ratio-scale judgments in controlled surveys comparing implicit versus explicit partitions. Overall, his approach favored decontextualized, symbolic stimuli—such as hypothetical dilemmas or Bayesian-like problems—over ecologically embedded tasks, enabling precise isolation of cognitive mechanisms but prioritizing internal validity over generalizability to incentivized real-world behavior. This experimental protocol, grounded in statistical hypothesis testing against normative benchmarks like Bayes' theorem, revealed heuristics as adaptive yet error-prone tools, influencing subsequent behavioral economics by highlighting bounded rationality without assuming full irrationality.

Empirical Focus and Experiments

Tversky's research emphasized controlled laboratory experiments to uncover systematic deviations from normative models of judgment and decision-making, often using hypothetical scenarios presented to undergraduate participants to elicit intuitive responses. His methodological approach prioritized quantifiable data over , drawing on psychophysical traditions to test predictions derived from mathematical frameworks. This empirical rigor distinguished his work from purely , as evidenced by the replication of patterns across studies with sample sizes typically ranging from dozens to hundreds. In the heuristics and biases program, co-developed with Kahneman, Tversky conducted experiments demonstrating how people rely on , representativeness, and anchoring heuristics under uncertainty. For , participants estimated event frequencies based on recall ease; for instance, in a 1973 study, subjects overestimated the likelihood of dramatic causes of death (e.g., accidents) over mundane ones (e.g., diseases) due to media salience, with error rates exceeding base-rate predictions by factors of 2-5. Representativeness was illustrated in the 1983 " problem," where 85-90% of participants incorrectly judged the conjunction " is a and active in the " as more probable than " is a " alone, violating . Anchoring experiments involved adjusting from arbitrary starting points; in one 1974 trial, wheel-spun numbers (e.g., 10 or 65) biased estimates of African countries in the UN, pulling responses toward the anchor by over 30% on average. These findings, replicated in multiple labs, quantified bias magnitudes and supported causal claims of heuristic substitution over Bayesian updating. Prospect theory experiments, formalized in the 1979 paper with Kahneman, used paired choice tasks to reveal nonlinear probability weighting and reference-dependent value functions. Participants preferred sure gains (e.g., $3,000) over probabilistic ones (80% chance of $4,000) in 78% of cases, showing for gains, but reversed for losses, selecting gambles (85% chance of losing $4,000) over sure losses ($3,000) in 69% of trials—demonstrating the effect. The certainty effect appeared in choices like accepting a sure $500 over 50% chance of $1,000 (74% preference), but overweighting near-certain outcomes. emerged from asymmetric responses, with losses looming roughly twice as large as equivalent gains, fitted via parameter λ ≈ 2.25 in value functions. These patterns, observed consistently across 10+ experiments with over 1,000 decisions per study, invalidated expected utility theory's linearity and motivated the S-shaped prospect curve. Tversky extended experimental scrutiny to framing effects, where identical outcomes phrased as gains versus losses altered choices; for example, 72% favored a disease-control program framed as saving 200 lives over one risking 400 deaths, despite equivalence. Later work on support theory (1994) used unpacking experiments: explicit listing of subcauses (e.g., dying from specific cancers) increased judged probabilities by 20-50%, revealing implicit assumptions in direct judgments. These studies, grounded in replicable data, underscored Tversky's focus on falsifiable predictions and critiques only after empirical robustness.

Criticisms and Debates

Challenges from Ecological Rationality

Ecological rationality critiques the heuristics-and-biases program co-developed by Amos Tversky and Daniel Kahneman by arguing that many identified "biases" represent ecologically adaptive strategies rather than deviations from rationality, as they exploit predictable structures in natural environments rather than abstract logical norms. Gerd Gigerenzer and the Adaptive Behavior and Cognition (ABC) Research Group contend that Tversky and Kahneman's framework over-relies on decontextualized laboratory tasks and probabilistic standards like Bayes' theorem, which fail to account for bounded cognition and real-world cue validities where simple heuristics often yield superior accuracy. For instance, phenomena such as base-rate neglect, highlighted in Tversky and Kahneman's 1974 Judgment under Uncertainty paper, diminish or reverse when base rates are presented in natural frequencies—formats aligning with how humans historically encountered statistical information—indicating the apparent bias arises from mismatched task representations rather than inherent irrationality. The , a core example from Tversky and Kahneman's studies where participants ranked a specific event as more probable than a general class containing it, is similarly challenged as an artifact of singular, non-representative judgments; in ecologically valid settings with sampling or frequentist formats, rates significantly, supporting the view that heuristics like representativeness are tuned for environmental , not logical axioms. Gigerenzer's reply to Tversky and Kahneman emphasized that such instabilities undermine the program's claim to universal cognitive , advocating instead for "fast and frugal" heuristics—such as the or take-the-best models—that prioritize efficiency and have been shown to match or exceed complex models in predicting outcomes from noisy, real-world datasets like stock markets or medical diagnoses. Tversky and Kahneman countered in their 1996 Psychological Review article that while format effects exist, biases remain robust across variations and correlate with poor performance in high-stakes domains, defending probabilistic norms as essential for evaluating decisions under uncertainty where environmental structures are unreliable or absent. This debate underscores a fundamental tension: ecological rationality prioritizes descriptive accuracy in specific contexts, potentially reframing Tversky's documented heuristics as rational tools, whereas the original program insists on prescriptive benchmarks to reveal exploitable errors, with empirical support from both sides depending on task ecology and outcome measures.

Debates on Bias Universality and Policy Applications

Critics of the heuristics and biases program, including Gerd Gigerenzer, have questioned the universality of the cognitive biases documented by Tversky and Kahneman, arguing that apparent errors often reflect adaptive responses to ecologically valid environments rather than invariant human flaws. Empirical investigations support partial universality, with classic illusions like the conjunction fallacy and base-rate neglect replicating in diverse samples, yet showing reduced prevalence among experts and in tasks aligned with real-world frequencies. Cross-cultural replications, such as those adapting Tversky and Kahneman's 1970s experiments to Kenyan participants, reveal that while some biases persist, others exhibit cultural modulation, challenging claims of strict universality and highlighting the influence of contextual and societal factors on judgment processes. In policy domains, prospect theory's insights—such as and reference dependence—have underpinned behavioral interventions like automatic enrollment in pension schemes and framed campaigns, aiming to counteract decision errors under . However, applications face scrutiny for assuming robustness across populations and settings, with evidence indicating diminished effects outside conditions and potential failures in non-Western contexts where cultural norms alter perceptions. Detractors further contend that prospect theory's descriptive focus lacks prescriptive power for scalable policies, as its parameters vary empirically and overlook competing models like , leading to overstated claims of generalizability in areas like decision-making or deterrence strategies. Ethical debates intensify around paternalistic nudges, which exploit biases without empirical validation of long-term efficacy or consideration of erosion, particularly when interventions ignore systemic incentives over individual heuristics.

Recognition and Legacy

Awards and Honors

Tversky was elected to the American Academy of Arts and Sciences in 1980. In 1982, he received the Distinguished Scientific Contribution Award from the for his foundational work on judgment and decision-making heuristics. He was awarded both the Fellowship and the in 1984, recognizing his innovative integration of psychological insights into economic theory and cognitive processes. In 1985, Tversky was elected as a foreign associate of the . He earned the William James Fellow Award from the Association for Psychological Science in 1989, honoring his lifetime contributions to the basic science of psychology. In 1995, he shared the Warren Medal from the Society of Experimental Psychologists with for advancing experimental approaches to cognitive biases and . Posthumously, Tversky was co-recipient with Kahneman of the 2003 Grawemeyer Award in Psychology from the , awarded for their collaborative research demonstrating systematic deviations from rational choice models in human .

Nobel Prize Omission

Amos Tversky died on June 6, 1996, at the age of 59 from , six years before was awarded the 2002 Nobel Memorial Prize in Economic Sciences for their joint research on and . The Nobel Foundation's policy prohibits posthumous awards, a rule formalized in 1974 stipulating that prizes cannot be given to deceased individuals unless the death occurs after the announcement decision. Kahneman's prize explicitly recognized the collaborative work with Tversky, as detailed in Kahneman's Nobel lecture, which described their partnership spanning decades and producing foundational insights into judgment and decision-making under uncertainty. Had Tversky survived, the award would have been shared, given the inseparability of their contributions, including the 1979 paper that challenged . This omission highlighted the profound impact of Tversky's untimely death on formal recognition, despite his pivotal role in transforming through psychological realism.

Influence on Economics and Decision Sciences

Tversky's collaboration with produced , published in 1979, which critiqued expected utility theory as an inadequate descriptor of decisions under risk and proposed an alternative emphasizing reference dependence, , and probability weighting. This framework demonstrated that individuals evaluate outcomes relative to a reference point, with losses looming larger than equivalent gains—a phenomenon termed —and exhibit diminishing sensitivity to changes farther from the reference point. 's empirical foundation, derived from controlled experiments showing systematic deviations from , provided economists with tools to model real-world choices more accurately than rational actor assumptions. The theory's integration of psychological insights into economic modeling spurred the ascent of behavioral economics, challenging neoclassical paradigms by incorporating heuristics and biases into analyses of choice under uncertainty. Tversky's contributions extended to framing effects, where the presentation of options influences decisions, revealing how economic policies and market signals can be manipulated through wording to alter behavior predictably. In decision sciences, this work foundationalized non-expected utility models, influencing subsequent developments like in 1992, which refined probability weighting for broader applicability in . Applications proliferated in finance, where explains phenomena such as the —investors' excessive for stocks due to overweighting low probabilities of loss—and disposition effects, where gains are realized prematurely and losses held too long. In policy, Tversky's heuristics informed nudge strategies, though empirical validation varies; for instance, default options leverage to boost savings rates, as seen in automatic enrollment plans increasing participation from 20% to over 90% in some programs. Overall, Tversky's emphasis on reshaped by privileging experimental evidence over axiomatic rationality, fostering interdisciplinary rigor in predicting aggregate outcomes from individual deviations.

Personal Attributes

Personality and Intellectual Style

Amos Tversky exhibited a vibrant and confident marked by outgoing and . Contemporaries described him as a "self-assured warrior" shaped by his background, possessing a "quiet swagger" and commanding presence that made him the center of attention in any room, despite a slight . He was known for his sharp wit and humor, delivering quips like “We study natural stupidity” to deflate pretension, and engaging socially as the "life of the party," even singing Hebrew folk songs despite being tone-deaf. This extroverted energy contrasted with more reserved colleagues, fostering a combative yet playful sparkle in discussions. His intellectual style emphasized logical precision and theoretical abstraction as a mathematical . Tversky maintained an impeccably organized workspace, disdained loose metaphors, and prioritized rigorous accuracy, often urging collaborators to “get it right” amid debates. He excelled at dissecting complex ideas to reveal underlying simple truths, spotting flaws with such acuity that peers hesitated to present unfinished work in his presence. Rarely conceding arguments, he approached reasoning with bold assertiveness, favoring formal analytical methods over intuitive leaps, which positioned him as the "cleverest person in the room." In partnership with , Tversky's confident logic balanced Kahneman's self-doubting intuition, creating a synergistic dynamic where they co-authored papers by alternating names or flipping coins for order, laughed frequently during intense sessions, and refined ideas through mutual challenge. This complementarity—his optimism countering pessimism—drove breakthroughs, though it occasionally strained under recognition disparities, underscoring Tversky's force-of-nature drive.

Family Life

Tversky married , a fellow graduate student in , in 1963. The couple had three children: sons Oren and Tal, and daughter Dona. pursued an academic career alongside her husband, becoming a professor of at , where the family settled after Amos joined the faculty in 1978. Their professional collaboration reflected overlapping interests in perception and spatial cognition, though Amos's work focused more on judgment and decision-making. Tversky was survived by his wife and children following his death from metastatic on June 2, 1996; at that time, Oren resided in , while Tal and Dona were associated with Stanford.

Cultural Impact

Representations in Media and Literature

Amos Tversky is depicted in Michael Lewis's 2016 nonfiction book : A Friendship That Changed Our Minds, which centers on his decades-long collaboration with . Lewis portrays Tversky as a brilliant, athletic —often described as possessing an almost effortless intellectual charisma—that propelled their joint work on heuristics, biases, and , fundamentally challenging rational choice models in and . The narrative emphasizes Tversky's role as the more assertive partner, whose early confidence in probabilistic reasoning contrasted with Kahneman's initial self-doubt, fostering breakthroughs like the 1974 paper on judgment under uncertainty. The book also explores the personal dynamics of their relationship, including Tversky's military background and his untimely death from in 1996 at age 59, which Lewis frames as a pivotal loss that influenced Kahneman's later win in 2002. While praised for its vivid reconstruction of their debates and experiments—drawing on interviews, letters, and archival materials—some critics noted Lewis's emphasis on dramatic storytelling over technical depth in their mathematical contributions. No major film or television adaptations of their story have been produced as of 2025, though Tversky's ideas appear in documentaries on behavioral science, such as episodes referencing their heuristics in PBS's Hacking Your Mind series. Tversky receives biographical mentions in Kahneman's 2011 book , dedicated to him, where their co-authored experiments are recounted from Kahneman's perspective, highlighting Tversky's precision in framing cognitive illusions. These portrayals underscore Tversky's enduring image as a foundational figure in , though secondary to Kahneman in public retrospectives due to the Nobel omission.

Enduring Anecdotes

One notable anecdote illustrating Tversky's fearlessness occurred during his childhood in , when, at age 12, he approached an older boy at a to learn dive from the 10-meter board despite not knowing how to swim; he then executed the dive successfully, demonstrating an early disregard for conventional caution. Tversky's intellectual collaborations with were marked by intense, humorous synergy, as Kahneman recalled that Tversky's constant wit made him funnier in turn, enabling hours of productive work amid "continuous mirth" while generating seminal papers on judgment heuristics between 1971 and 1979, with every word mutually agreed upon. Tversky was renowned for pithy, insightful quips that encapsulated his views on and , such as declaring their field "We study natural stupidity" or advising, "The secret to good is always to be a little underemployed," remarks that highlighted his optimistic swagger and disdain for pretension. In a around , Tversky conceded a to Kahneman on versus , an unusual admission for the confident Tversky that ignited their decades-long , transforming psychological inquiry into biases. Tversky's aversion to embarrassment was profound, as friend noted he believed people "paid an enormous price to avoid mild ," a Tversky embodied by prioritizing bold actions over social discomfort, evident in his midnight student meetings and unhesitating intellectual risks.

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