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We consider multi-armed bandit problems in social groups wherein each individual has bounded memory and shares the common goal of learning the best arm/option. We say an individual learns the best option if eventually (as $t\to \infty$) it…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-27 Lili Su , Martin Zubeldia , Nancy Lynch

When additional information sources are available, an important question for an agent solving a certain problem is how to optimally use the information the sources are capable of providing. A framework that relates information accuracy on…

Data Analysis, Statistics and Probability · Physics 2013-01-11 Eugene Perevalov , David Grace

People are often reluctant to sell a house, or shares of stock, below the price at which they originally bought it. While this is generally not consistent with rational utility maximization, it does reflect two strong empirical regularities…

Computer Science and Game Theory · Computer Science 2021-06-02 Jon Kleinberg , Robert Kleinberg , Sigal Oren

This paper modifies Jaynes's axioms of plausible reasoning and derives the minimum relative entropy principle, Bayes's rule, as well as maximum likelihood from first principles. The new axioms, which I call the Optimum Information…

Information Theory · Computer Science 2011-03-30 Alexis Akira Toda

Biological cells are able to accurately sense chemicals with receptors at their surfaces, allowing cells to move towards sources of attractant and away from sources of repellent. The accuracy of sensing chemical concentration is ultimately…

Subcellular Processes · Quantitative Biology 2015-05-14 Robert G. Endres , Ned S. Wingreen

Often adaptive, distributed control can be viewed as an iterated game between independent players. The coupling between the players' mixed strategies, arising as the system evolves from one instant to the next, is determined by the system…

Multiagent Systems · Computer Science 2007-05-23 David H. Wolpert , Stefan Bieniawski

We consider a dynamic moral hazard problem between a principal and an agent, where the sole instrument the principal has to incentivize the agent is the disclosure of information. The principal aims at maximizing the (discounted) number of…

Theoretical Economics · Economics 2021-03-09 Wei Zhao , Claudio Mezzetti , Ludovic Renou , Tristan Tomala

The ability of a society to make the right decisions on relevant matters relies on its capability to properly aggregate the noisy information spread across the individuals it is made of. In this paper we study the information aggregation…

Physics and Society · Physics 2015-06-16 Giacomo Livan , Matteo Marsili

This paper studies sequential information acquisition by an ambiguity-averse decision maker (DM), who decides how long to collect information before taking an irreversible action. The agent optimizes against the worst-case belief and…

Theoretical Economics · Economics 2023-10-06 Sarah Auster , Yeon-Koo Che , Konrad Mierendorff

A principal and an agent can launch a project under unanimous consent. Their individual payoffs from the project depend on an underlying state, and the agent privately knows his own preference. The principal can conduct a test to learn…

Theoretical Economics · Economics 2026-02-06 Yingkai Li , Boli Xu

We study a model for social influence in which the agents' opinion is a continuous variable [G. Weisbuch et al., Complexity \textbf{7}, 2, 55 (2002)]. The convergent opinion adjustment process takes place as a result of random binary…

Statistical Mechanics · Physics 2007-05-23 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

It is well known that reinforcement learning can be cast as inference in an appropriate probabilistic model. However, this commonly involves introducing a distribution over agent trajectories with probabilities proportional to exponentiated…

Artificial Intelligence · Computer Science 2021-10-07 David Tolpin , Tomer Dobkin

In complex environments, there are costs to both ignorance and perception. An organism needs to track fitness-relevant information about its world, but the more information it tracks, the more resources it must devote to memory and…

Neurons and Cognition · Quantitative Biology 2018-10-17 Sarah E. Marzen , Simon DeDeo

The Bayesian persuasion paradigm of strategic communication models interaction between a privately-informed agent, called the sender, and an ignorant but rational agent, called the receiver. The goal is typically to design a (near-)optimal…

Computer Science and Game Theory · Computer Science 2021-06-21 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

Imitation learning is an effective alternative approach to learn a policy when the reward function is sparse. In this paper, we consider a challenging setting where an agent and an expert use different actions from each other. We assume…

Machine Learning · Computer Science 2019-08-27 Konrad Zolna , Negar Rostamzadeh , Yoshua Bengio , Sungjin Ahn , Pedro O. Pinheiro

In previous work, we presented a novel information-theoretic privacy criterion for query forgery in the domain of information retrieval. Our criterion measured privacy risk as a divergence between the user's and the population's query…

Information Theory · Computer Science 2015-03-19 David Rebollo-Monedero , Javier Parra-Arnau , Jordi Forné

We study belief revision when information is represented by a set of probability distributions, or general information. General information extends the standard event notion while including qualitative information (A is more likely than B),…

Theoretical Economics · Economics 2025-02-04 Adam Dominiak , Matthew Kovach , Gerelt Tserenjigmid

We analyze the following group learning problem in the context of opinion diffusion: Consider a network with $M$ users, each facing $N$ options. In a discrete time setting, at each time step, each user chooses $K$ out of the $N$ options,…

Machine Learning · Computer Science 2013-09-17 Yang Liu , Mingyan Liu

This paper proposes a model of decision-making under uncertainty in which an agent is constrained in her cognitive ability to consider complex acts. We identify the complexity of an act according to the corresponding partition of state…

Theoretical Economics · Economics 2024-06-27 Yuan Gu , Chao Hung Chan

We formalize trust calibration for agentic tool use (deciding when an automated agent's proposed action may execute autonomously versus require human approval) as a preference-learning problem. A policy gateway maintains a Gaussian-process…

Artificial Intelligence · Computer Science 2026-05-20 Changkun Ou
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