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Hierarchical modeling is wonderful and here to stay, but hyperparameter priors are often chosen in a casual fashion. Unfortunately, as the number of hyperparameters grows, the effects of casual choices can multiply, leading to considerably…

Statistics Theory · Mathematics 2007-06-13 James O. Berger , William Strawderman , Dejun Tang

This paper provides a behavioral analysis of conservatism in beliefs. I introduce a new axiom, Dynamic Conservatism, that relaxes Dynamic Consistency when information and prior beliefs "conflict." When the agent is a subjective expected…

Theoretical Economics · Economics 2021-02-02 Matthew Kovach

We investigate opinion dynamics in multi-agent networks when a bias toward one of two possible opinions exists; for example, reflecting a status quo vs a superior alternative. Starting with all agents sharing an initial opinion representing…

Multiagent Systems · Computer Science 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Emilio Cruciani , Francesco Pasquale , Sara Rizzo

This paper considers the hidden-action model of the principal-agent problem, in which a principal incentivizes an agent to work on a project using a contract. We investigate whether contracts with bounded payments are learnable and…

Computer Science and Game Theory · Computer Science 2024-02-23 Yurong Chen , Zhaohua Chen , Xiaotie Deng , Zhiyi Huang

Communication is rarely perfect, but rather prone to error of transmission and reception. Often the origin of these errors cannot be properly quantified and is thus imprecisely known. We analyze the impact of an ambiguous noise which may…

Theoretical Economics · Economics 2023-11-22 Gerrit Bauch

A striking limitation of human cognition is our inability to execute some tasks simultaneously. Recent work suggests that such limitations can arise from a fundamental tradeoff in network architectures that is driven by the sharing of…

Neurons and Cognition · Quantitative Biology 2020-07-08 Yotam Sagiv , Sebastian Musslick , Yael Niv , Jonathan D. Cohen

The ongoing replication crisis in science has increased interest in the methodology of replication studies. We propose a novel Bayesian analysis approach using power priors: The likelihood of the original study's data is raised to the power…

Methodology · Statistics 2023-09-28 Samuel Pawel , Frederik Aust , Leonhard Held , Eric-Jan Wagenmakers

We consider a population of Bayesian agents who share a common prior over some finite state space and each agent is exposed to some information about the state. We ask which distributions over empirical distributions of posteriors beliefs…

Computer Science and Game Theory · Computer Science 2022-02-07 Itai Arieli , Yakov Babichenko

Fully Bayesian approaches to sequential decision-making assume that problem parameters are generated from a known prior. In practice, such information is often lacking. This problem is exacerbated in setups with partial information, where a…

Machine Learning · Statistics 2022-08-08 Amit Peleg , Naama Pearl , Ron Meir

When subjected to automated decision-making, decision subjects may strategically modify their observable features in ways they believe will maximize their chances of receiving a favorable decision. In many practical situations, the…

Computer Science and Game Theory · Computer Science 2022-10-10 Keegan Harris , Valerie Chen , Joon Sik Kim , Ameet Talwalkar , Hoda Heidari , Zhiwei Steven Wu

This paper studies bandit problems where an agent has access to offline data that might be utilized to potentially improve the estimation of each arm's reward distribution. A major obstacle in this setting is the existence of compound…

Machine Learning · Computer Science 2023-12-21 Wen Huang , Xintao Wu

An agent is a misspecified Bayesian if she updates her belief using Bayes' rule given a subjective, possibly misspecified model of her signals. This paper shows that a belief sequence is consistent with misspecified Bayesian updating if and…

Theoretical Economics · Economics 2026-03-25 Pooya Molavi

We study sequential social learning with endogenous information acquisition when agents have a taste for nonconformity. Each agent observes predecessors' actions, chooses whether to acquire a private signal (and its precision), and then…

Theoretical Economics · Economics 2026-01-05 Georgy Lukyanov , Vasilii Ivanik

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

Fraud can pose a challenge in many resource allocation domains, including social service delivery and credit provision. For example, agents may misreport private information in order to gain benefits or access to credit. To mitigate this, a…

Computer Science and Game Theory · Computer Science 2026-04-29 Sanmay Das , Fang-Yi Yu , Yuang Zhang

In classic principal-agent problems such as Stackelberg games, contract design, and Bayesian persuasion, the agent best responds to the principal's committed strategy. We study repeated generalized principal-agent problems under the…

Computer Science and Game Theory · Computer Science 2025-10-22 Tao Lin , Yiling Chen

We consider settings where an uninformed principal must hear arguments from two better-informed agents, corresponding to two possible courses of action that they argue for. The arguments are verifiable in the sense that the true state of…

Computer Science and Game Theory · Computer Science 2025-12-01 Alexander Heckett , Vincent Conitzer

We explore conclusions a person draws from observing society when he allows for the possibility that individuals' outcomes are affected by group-level discrimination. Injecting a single non-classical assumption, that the agent is…

Theoretical Economics · Economics 2019-09-19 Paul Heidhues , Botond Kőszegi , Philipp Strack

The explore{exploit dilemma is one of the central challenges in Reinforcement Learning (RL). Bayesian RL solves the dilemma by providing the agent with information in the form of a prior distribution over environments; however, full…

Machine Learning · Computer Science 2012-03-19 Jonathan Sorg , Satinder Singh , Richard L. Lewis

Offline reinforcement learning (RL) is crucial for real-world applications where exploration can be costly or unsafe. However, offline learned policies are often suboptimal, and further online fine-tuning is required. In this paper, we…

Machine Learning · Computer Science 2024-06-03 Hao Hu , Yiqin Yang , Jianing Ye , Chengjie Wu , Ziqing Mai , Yujing Hu , Tangjie Lv , Changjie Fan , Qianchuan Zhao , Chongjie Zhang
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