AI predicting risky choices

Black Box Breakthrough: Can AI Predict Your Risky Choices?

"Unlock the secrets of economic anomalies with AI-driven predictive algorithms – a new frontier in understanding decision-making under risk."


How do we make economic theories better? One way is an understanding of patterns. The “Allais paradox,” a classic example, questioned whether expected utility theory matched real-world choices. Economist Maurice Allais created menus of lotteries that exposed contradictions in the theory, spurring new ways of thinking about risk. In this paper, we explore how machine learning helps uncover these anomalies.

Anomalies aren't just old news. They consistently improve how we understand economic behavior, even in areas like asset pricing, game theory, and intertemporal choice. The traditional approach involves constructing anomalies, rigorously testing them, and then developing new theories to explain them. But what if machine learning algorithms could speed up this process?

Machine learning could be a tool in accelerating the development of economic theory by revealing predictive signals. The problem is that these algorithms are ‘black boxes.’ It is hard to really determine what machine learning has discovered, which are often buried in the opacity of complex function classes. That's why we need ways to automatically construct anomalies from these predictive algorithms.

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Defining Behavioral Health and Its Place in Overall Well-Being

Behavioral health is widely understood as a key component of overall health, encompassing mental distress, mental health conditions, suicidal thoughts and behaviors, and substance use, according to the CDC. The term itself, as defined by Merriam-Webster, refers to what relates to behavior, specifically the reactions people make in response to social stimuli. Cambridge and Dictionary.com similarly describe "behavioral" as relating to how a person behaves or acts, with the word commonly appearing in American English spelling. Together these definitions frame behavioral health as the observable, socially embedded patterns of action that sit at the center of efforts to understand and influence human decision-making.

Language and Framing in Behavioral Research

A basic but consequential challenge in behavioral research is terminological: the same word is spelled "behavioral" in American English and "behavioural" elsewhere, a distinction examined by Sapling. This spelling variation reflects deeper publishing and audience conventions, and researchers reporting findings must choose a spelling consistent with their target readership to avoid seeming inconsistent. The example usages provided by Sapling illustrate how the choice affects the way behavioral findings are presented across contexts.

A Field Built on Observation

The study of behavior emerged gradually, rooted in long-standing traditions of observing how people respond to their social surroundings. Over time, researchers moved from informal observation toward more systematic attempts to measure and predict human actions. Because specific milestones fall outside the scope of this review, the account here is deliberately general. What is well established is that behavioral research has steadily refined both its vocabulary and its methods, setting the stage for today's data-driven approaches to predicting choice.

Decoding the Black Box: How Algorithms Generate Anomalies

AI predicting risky choices

The procedures in this paper outline output anomalies that economists can scrutinize, much like the Allais paradox. In these procedures, we use supervised machine learning to create a predictive model, serving as our empirical intuition. We then contrast this model with existing theory, pinpointing the minimal instances where theory fails to align with the algorithm's predictions. These algorithmically generated anomalies become starting points to understand inconsistencies.

To set up a framework, we focus on scenarios with input features (x) and modeled outcomes (y); for example, x represents a menu of lotteries and y represents the choice probability. Theories are modeled as mappings that return relationships. These correspondences summarize the theory’s implications: for any x, the correspondence specifies acceptable y values. Expected utility theory suggests individuals make choices based on what they've already chosen in similar scenarios. So, within this framework, we define anomalies as the smallest set of examples inconsistent with the theory.

  • Compatibility: Theory must be compatible or incompatible with any data.
  • Consistency: Compatible data must align with theoretical predictions.
  • Refinement: Theory's implications sharpen with more data.
  • Non-Trivial Implications: There must be data where theory provides meaningful predictions.
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Ongoing Inquiry Into Predictive Models

Recent and ongoing work continues to probe how well behavioral signals can forecast risky decisions, but no specific studies are reviewed here. The general trajectory of the literature points toward growing sophistication in how predictions are built and tested. Findings from this line of research remain uneven, with results often sensitive to context and methodology. Until dedicated reviews are examined, conclusions about the latest findings should be treated as preliminary.

The Case for Caution

Critics of prediction-focused behavioral research have repeatedly raised concerns about reliability and generalizability, though no specific failures are documented in the sources reviewed here. A common criticism is that laboratory settings and carefully curated datasets may not reflect real-world behavior. Others argue that predictive models can overstate their accuracy when validated on limited samples. These objections serve as a useful reminder that behavioral prediction remains an open and contested endeavor.

Weighing Approaches Side by Side

A meaningful comparison of different methods for studying risky choice would require reviewing specific studies, which fall outside the scope of the sources considered here. In general terms, approaches differ in how much they emphasize observable behavior versus self-reported attitudes, and in how they handle context. These methodological trade-offs shape what each approach can and cannot explain. A fuller comparative analysis would need to draw on a wider evidence base than the one examined here.

To generate anomalies from a prediction function, anomaly searching is framed as an adversarial game between a falsifier and the theory. The falsifier proposes features, and the estimated prediction function assesses these features, the theory then tries to explain them by fitting an allowable function. The falsifier seeks collections where the theory struggles, leading to anomalies. In simple terms, these are scenarios the theory can't explain.

The Future of Economic Discovery

Our goal wasn't to simply revisit risk and expected utility theory. Instead, this example highlights the broader potential of anomaly generation procedures. Their success in identifying new anomalies in a well-studied area suggests they could be valuable elsewhere. Supervised machine learning algorithms can expose novel empirical patterns that existing theories miss. Rather than a black box, these procedures highlight small collections of examples to help researchers refine existing theories.

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Reading Across the Evidence

Synthesizing what is currently known about predicting risky choices is difficult because the relevant evidence spans multiple disciplines and is not fully covered by the sources reviewed. Expert commentary tends to agree that measurement and framing profoundly shape study outcomes, but it diverges on how far current models can be trusted. What unites most observers is a call for more rigorous, context-aware evaluation. Any synthesis at this stage should therefore be marked by restraint rather than certainty.

Where the Field May Head

Looking ahead, the prediction of risky behavior is likely to rely more heavily on richer data sources and more transparent modeling practices, although such projections are speculative beyond the current evidence. Expectations vary about whether advances will come primarily from better theory or better data. The few common points of agreement center on the need for validation across diverse populations and settings. These outlooks should be read as informed conjecture rather than established findings.

Structural Hurdles, Not Just Technical Ones

Progress in behavioral prediction is constrained by systemic challenges that extend beyond any single model or dataset. Among these are questions of data representativeness, ethical oversight, and the difficulty of generalizing from one population to another. Institutional and cultural differences further complicate any attempt to treat findings as universal. Addressing these systemic factors may prove as important as improving the underlying algorithms themselves.

People Behind the Predictions

Behind every attempt to predict risky choices are real people whose lives can be materially affected by how accurately—or inaccurately—models perform. Forecasts that go wrong risk misclassifying individuals, while well-calibrated predictions could support better-informed decision-making. This human dimension argues for care in how results are communicated and applied. Ultimately, the value of behavioral prediction must be judged by its real-world consequences rather than by technical metrics alone.

Testing AI-generated anomalies for expected utility theory

Populationsubjects[1]
Settingincentivized experiments[1]
ComparisonAllais paradox and common ratio effect[1]
Main outcomeviolations of expected utility theory on algorithmically generated anomalies[1]
Times cited0[1]

Generated choices compared with classic risk anomalies

In incentivized experiments, subjects violated expected utility theory on algorithmically generated anomalies at rates similar to those for the Allais paradox and the common ratio effect. This places the generated examples alongside established benchmarks, rather than showing that they produce more violations.[1]

What remains to be tested

  • Would the procedure recover useful anomalies when applied to theories beyond expected utility theory?[1]
  • Do the generated anomalies reveal a common explanation for choices, or do they identify distinct ways expected utility theory can fail?[1]
  • How consistently would different predictive algorithms generate anomalies absent from existing work?[1]

Sources

  1. From Predictive Algorithms to Automatic Generation of Anomalies (arXiv (Cornell University), 2024)

About this Article -

Written with AI assistance from published research, and reviewed by the Mystum team. See our About page for more information.

This article is based on research published under:

DOI-LINK: https://doi.org/10.48550/arXiv.2404.10111,

Title: From Predictive Algorithms To Automatic Generation Of Anomalies

Subject: econ.em

Authors: Sendhil Mullainathan, Ashesh Rambachan

Published: 15-04-2024

Everything You Need To Know

1

What is the significance of the "Allais paradox" in the context of economic theory and the use of machine learning?

The "Allais paradox" is a critical example that highlighted inconsistencies between expected utility theory and real-world decision-making. It demonstrated that individuals often make choices that contradict the predictions of expected utility theory when faced with lotteries involving risk. This paradox spurred the development of new economic theories. In this context, machine learning algorithms are employed to identify similar anomalies, accelerating the process of refining and improving economic theories by uncovering patterns that challenge established models. The algorithms help pinpoint areas where existing theories fail to accurately predict behavior, leading to a better understanding of decision-making under risk.

2

How do machine learning algorithms contribute to the identification of economic anomalies, and what are the implications of these discoveries?

Machine learning algorithms contribute to anomaly detection by analyzing patterns in data related to economic decisions, such as choices in lotteries. These algorithms create predictive models that can then be compared against existing economic theories. When the algorithm's predictions diverge significantly from what the theory suggests, an anomaly is identified. These discoveries challenge traditional economic theories and serve as a starting point for developing new theories that better explain observed behaviors. The implications are that researchers can refine existing theories and understand the nuances of decision-making, particularly in areas like asset pricing, game theory, and intertemporal choice.

3

Explain the process of how algorithms generate anomalies and how they are used to challenge existing economic theories.

The process involves using supervised machine learning to create a predictive model based on input features (x) and modeled outcomes (y*). The model's predictions are then contrasted with existing economic theories, which are modeled as mappings that return relationships. Anomalies are defined as the smallest set of examples where the theory's predictions are inconsistent with the algorithm's. The algorithm generates anomalies by framing anomaly searching as an adversarial game. A falsifier proposes features, the algorithm assesses these features, and the theory attempts to explain them. The anomalies generated are scenarios where the theory struggles to provide a meaningful explanation, thereby challenging the theory.

4

What are the key characteristics that define a robust economic theory, and how do machine learning algorithms help in evaluating these characteristics?

A robust economic theory should possess the following key characteristics: compatibility with data, consistency between data and theoretical predictions, refinement as more data becomes available, and non-trivial implications that provide meaningful predictions. Machine learning algorithms assist in evaluating these characteristics by identifying situations where a theory's predictions fail to align with observed data. The algorithm can identify inconsistencies, and the falsifier generates examples that challenge the theory to ensure it is tested under various scenarios. This process helps refine the theory and ensures it meets the criteria of robustness and provides more data to ensure better predictions.

5

How do these "black box" algorithms transform into tools that enhance economic understanding, and what is the ultimate goal of using them?

The supervised machine learning algorithms themselves are often described as 'black boxes' due to the complexity of their inner workings. However, the procedures in the text outline how these algorithms can be transformed into tools by automatically constructing anomalies from predictive models. By identifying the minimal instances where theory fails to align with algorithm predictions, researchers can scrutinize these anomalies. The ultimate goal is to accelerate the development of economic theory by revealing predictive signals and uncovering new empirical patterns that existing theories might miss. This helps economists refine existing theories and provides a deeper understanding of economic behavior and decision-making processes, especially under risky conditions. The aim is not just to revisit established concepts like risk and expected utility theory but to create a framework that can be applied to various economic problems.

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