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A possibly immortal agent tries to maximise its summed discounted rewards over time, where discounting is used to avoid infinite utilities and encourage the agent to value current rewards more than future ones. Some commonly used discount…

Artificial Intelligence · Computer Science 2014-07-15 Tor Lattimore , Marcus Hutter

In many real-world scenarios, experts must convey complex information with limited message capacity. This paper explores how the availability of messages influences an expert's persuasive ability. We develop a geometric representation of…

Theoretical Economics · Economics 2024-05-09 Yunus C. Aybas , Eray Turkel

We investigate a toy model of inductive interacting agents aiming to forecast a continuous, exogenous random variable E. Private information on E is spread heterogeneously across agents. Herding turns out to be the preferred forecasting…

Physics and Society · Physics 2015-05-13 S. Gualdi , A. De Martino

In its simplest form the well known consensus problem for a networked family of autonomous agents is to devise a set of protocols or update rules, one for each agent, which can enable all of the agents to adjust or tune their "agreement…

Optimization and Control · Mathematics 2022-09-16 Jingxuan Zhu , Yixuan Lin , Ji Liu , A. Stephen Morse

In a dynamic matching market, such as a marriage or job market, how should agents balance accepting a proposed match with the cost of continuing their search? We consider this problem in a discrete setting, in which agents have cardinal…

Computer Science and Game Theory · Computer Science 2021-06-16 Ishan Agarwal , Richard Cole , Yixin Tao

In decision-making, individuals often rely on intuition, which can occasionally yield suboptimal outcomes. This study examines the impact of intuitive decision-making on individuals who are confronted with limited position information in…

Physics and Society · Physics 2024-05-07 Fanyuan Meng , Hui Xiao , Xinlin Wu , Xiaojun Hu , Xiaojie Niu , Sheng Chen , Yu Liu

This paper establishes a rigorous measurement science for AI agent reliability, providing a foundational framework for quantifying consistency under semantically preserving perturbations. By leveraging $U$-statistics for output-level…

Artificial Intelligence · Computer Science 2026-05-12 Harsh Raj , Niranjan Orkat , Suvrorup Mukherjee , Aritra Guha , Cheryl Flynn , Subhabrata Majumdar

Most of the works on planning and learning, e.g., planning by (model based) reinforcement learning, are based on two main assumptions: (i) the set of states of the planning domain is fixed; (ii) the mapping between the observations from the…

Artificial Intelligence · Computer Science 2018-11-27 Luciano Serafini , Paolo Traverso

The most widely used artificial intelligence (AI) models today are Transformers employing self-attention. In its standard form, self-attention incurs costs that increase with context length, driving demand for storage, compute, and energy…

Machine Learning · Computer Science 2026-02-03 Franz A. Heinsen , Leo Kozachkov

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

We formalize three design axioms for sustained adoption of agent-centric AI systems executing multi-step tasks: (A1) Reliability > Novelty; (A2) Embed > Destination; (A3) Agency > Chat. We model adoption as a sum of a decaying novelty term…

Artificial Intelligence · Computer Science 2025-08-19 Faruk Alpay , Taylan Alpay

In this paper, the agent-based modeling is employed to model the effect of intellectual property policy at the speed of technological advancement. Every agent has inborn preferences towards investing their capital into independent…

Physics and Society · Physics 2017-06-15 Ivan D. Breslavsky

Making an informed decision -- for example, when choosing a career or housing -- requires knowledge about the available options. Such knowledge is generally acquired through costly trial and error, but this learning process can be disrupted…

Machine Learning · Computer Science 2022-04-15 Sarah H. Cen , Devavrat Shah

A rich class of mechanism design problems can be understood as incomplete-information games between a principal who commits to a policy and an agent who responds, with payoffs determined by an unknown state of the world. Traditionally,…

Theoretical Economics · Economics 2020-09-14 Modibo Camara , Jason Hartline , Aleck Johnsen

We study a dynamic non-bipartite matching problem. There is a fixed set of agent types, and agents of a given type arrive and depart according to type-specific Poisson processes. Agent departures are not announced in advance. The value of a…

Computer Science and Game Theory · Computer Science 2021-01-12 Natalie Collina , Nicole Immorlica , Kevin Leyton-Brown , Brendan Lucier , Neil Newman

Interacting agents receive public information at no cost and flexibly acquire private information at a cost proportional to entropy reduction. When a policymaker provides more public information, agents acquire less private information,…

Theoretical Economics · Economics 2022-04-28 Takashi Ui

A speculative agent with Prospect Theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximize the expected utility of the round-trip profit net of transaction costs. The optimization…

Mathematical Finance · Quantitative Finance 2022-10-26 Alex S. L. Tse , Harry Zheng

I study costly information acquisition in a two-sided matching problem, such as matching applicants to schools. An applicant's utility is a sum of common and idiosyncratic components. The idiosyncratic component is unknown to the applicant…

Theoretical Economics · Economics 2021-10-22 Georgy Artemov

We study the selection of agents based on mutual nominations, a theoretical problem with many applications from committee selection to AI alignment. As agents both select and are selected, they may be incentivized to misrepresent their true…

Computer Science and Game Theory · Computer Science 2025-10-23 Javier Cembrano , Felix Fischer , Max Klimm

Arthur's paradigm of the El Farol bar for modeling bounded rationality and inductive behavior is undertaken. The memory horizon available to the agents and the selection criteria they utilize for the prediction algorithm are the two…

Physics and Society · Physics 2007-05-23 Canan Atilgan , Ali Rana Atilgan
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