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We study a linear contextual optimization problem where a decision maker has access to historical data and contextual features to learn a cost prediction model aimed at minimizing decision error. We adopt the predict-then-optimize framework…

Optimization and Control · Mathematics 2025-04-09 Omar Bennouna , Jiawei Zhang , Saurabh Amin , Asuman Ozdaglar

Toward explaining the persistence of biased inferences, we propose a framework to evaluate competing (mis)specifications in strategic settings. Agents with heterogeneous (mis)specifications coexist and draw Bayesian inferences about their…

Theoretical Economics · Economics 2023-02-14 Kevin He , Jonathan Libgober

An agent with an inaccurate model of its environment faces a difficult choice: it can ignore the errors in its model and act in the real world in whatever way it determines is optimal with respect to its model. Alternatively, it can take a…

This paper addresses the problem of universal learning under model misspecification with log-loss. In this setting, the learner operates with a hypothesis class of models denoted by $\Theta$, while the true data-generating process belongs…

Information Theory · Computer Science 2026-05-12 Shlomi Vituri , Meir Feder

Having access to a forward model enables the use of planning algorithms such as Monte Carlo Tree Search and Rolling Horizon Evolution. Where a model is unavailable, a natural aim is to learn a model that reflects accurately the dynamics of…

Machine Learning · Computer Science 2020-04-16 Alvaro Ovalle , Simon M. Lucas

We consider an agent who represents uncertainty about the environment via a possibly misspecified model. Each period, the agent takes an action, observes a consequence, and uses Bayes' rule to update her belief about the environment. This…

Theoretical Economics · Economics 2019-10-24 Ignacio Esponda , Demian Pouzo , Yuichi Yamamoto

We extend the indirect evolutionary approach to the selection of (possibly misspecified) models. Agents with different models match in pairs to play a stage game, where models define feasible beliefs about game parameters and about others'…

Theoretical Economics · Economics 2025-09-22 Kevin He , Jonathan Libgober

Estimating uncertainty of machine learning models is essential to assess the quality of the predictions that these models provide. However, there are several factors that influence the quality of uncertainty estimates, one of which is the…

Machine Learning · Computer Science 2022-11-03 Yuko Kato , David M. J. Tax , Marco Loog

We consider the problem of imitation learning under misspecification: settings where the learner is fundamentally unable to replicate expert behavior everywhere. This is often true in practice due to differences in observation space and…

Machine Learning · Computer Science 2025-04-03 Nicolas Espinosa-Dice , Sanjiban Choudhury , Wen Sun , Gokul Swamy

Model-based Reinforcement Learning (MBRL) aims to make agents more sample-efficient, adaptive, and explainable by learning an explicit model of the environment. While the capabilities of MBRL agents have significantly improved in recent…

Machine Learning · Computer Science 2024-04-09 Ran Wei , Nathan Lambert , Anthony McDonald , Alfredo Garcia , Roberto Calandra

Individuals use models to guide decisions, but many models are wrong. This paper studies which misspecified models are likely to persist when individuals also entertain alternative models. Consider an agent who uses her model to learn the…

Theoretical Economics · Economics 2023-08-22 Cuimin Ba

We consider a large class of social learning models in which a group of agents face uncertainty regarding a state of the world, share the same utility function, observe private signals, and interact in a general dynamic setting. We…

Statistics Theory · Mathematics 2020-05-14 Elchanan Mossel , Manuel Mueller-Frank , Allan Sly , Omer Tamuz

Reinforcement learning has achieved remarkable performance in a wide range of tasks these days. Nevertheless, some unsolved problems limit its applications in real-world control. One of them is model misspecification, a situation where an…

Machine Learning · Computer Science 2021-03-30 Lebin Yu , Jian Wang , Xudong Zhang

We study interactions between strategic players and markets whose behavior is guided by an algorithm. Algorithms use data from prior interactions and a limited set of decision rules to prescribe actions. While as-if rational play need not…

Theoretical Economics · Economics 2021-01-26 In-Koo Cho , Jonathan Libgober

We develop an equilibrium framework that relaxes the standard assumption that people have a correctly-specified view of their environment. Each player is characterized by a (possibly misspecified) subjective model, which describes the set…

Economics · Quantitative Finance 2019-11-22 Ignacio Esponda , Demian Pouzo

We consider estimation under model misspecification where there is a model mismatch between the underlying system, which generates the data, and the model used during estimation. We propose a model misspecification framework which enables a…

Signal Processing · Electrical Eng. & Systems 2023-02-22 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

This paper examines whether one can learn to play an optimal action while only knowing part of true specification of the environment. We choose the optimal pricing problem as our laboratory, where the monopolist is endowed with an…

Theoretical Economics · Economics 2022-07-22 In-Koo Cho , Jonathan Libgober

We study misspecified Bayesian learning in principal-agent relationships, where an agent is assessed by an evaluator and rewarded by the market. The agent's outcome depends on their innate ability, costly effort -- whose effectiveness is…

Theoretical Economics · Economics 2025-12-02 Federico Echenique , Anqi Li

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

Machine learning is now ubiquitous in societal decision-making, for example in evaluating job candidates or loan applications, and it is increasingly important to take into account how classified agents will react to the learning…

Machine Learning · Computer Science 2025-08-08 Dravyansh Sharma , Alec Sun
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