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This paper investigates the asymptotic behavior of some common opinion dynamic models in a continuum of agents. We show that as long as the interactions among the agents are symmetric, the distribution of the agents' opinion converges. We…

动力系统 · 数学 2016-08-11 Julien M. Hendrickx , Alex Olshevsky

We characterize the class of symmetric two-player games in which tit-for-tat cannot be beaten even by very sophisticated opponents in a repeated game. It turns out to be the class of exact potential games. More generally, there is a class…

计算机科学与博弈论 · 计算机科学 2013-01-25 Peter Duersch , Joerg Oechssler , Burkhard C. Schipper

We study the set of possible joint posterior belief distributions of a group of agents who share a common prior regarding a binary state, and who observe some information structure. For two agents we introduce a quantitative version of…

理论经济学 · 经济学 2020-12-24 Itai Arieli , Yakov Babichenko , Fedor Sandomirskiy , Omer Tamuz

We discuss the question of if and how undecidability might be translatable into physics, in particular with respect to prediction and description, as well as to complementarity games.

chao-dyn · 物理学 2008-02-03 Karl Svozil

A way to simulate the basic interactions between two individuals with different opinions, in the context of strategic game theory, is proposed. Various games are considered, which produce different kinds of opinion formation dynamics.…

物理与社会 · 物理学 2009-11-13 Alessandro Di Mare , Vito Latora

As a schematic model of the complexity economic agents are confronted with, we introduce the ``SK-game'', a discrete time binary choice model inspired from mean-field spin-glasses. We show that even in a completely static environment,…

统计力学 · 物理学 2024-08-27 Jerome Garnier-Brun , Michael Benzaquen , Jean-Philippe Bouchaud

We study the stochastic multi-player multi-armed bandit problem. In this problem, $m$ players cooperate to maximize their total reward from $K > m$ arms. However the players cannot communicate and are penalized (e.g. receive no reward) if…

机器学习 · 计算机科学 2022-06-08 Allen Liu , Mark Sellke

Preference aggregation is a fundamental problem in voting theory, in which public input rankings of a set of alternatives (called preferences) must be aggregated into a single preference that satisfies certain soundness properties. The…

分布式、并行与集群计算 · 计算机科学 2024-10-30 Kenan Wood , Hammurabi Mendes , Jonad Pulaj

The basic problem in the cooperation theory is to justify the cooperation. Here we propose a new approach, where players are driven by their altruism to cooperate or not. The probability of cooperation depends also on the co-player's…

物理与社会 · 物理学 2015-05-13 Krzysztof Kulakowski , Przemyslaw Gawronski

The theory of repeated games analyzes the long-term relationship of interacting players and mathematically reveals the condition of how cooperation is achieved, which is not achieved in a one-shot game. In the repeated prisoner's dilemma…

种群与进化 · 定量生物学 2019-06-20 Azumi Mamiya , Genki Ichinose

An agent, or a coalition of agents, faces an ethical dilemma between several statements if she is forced to make a conscious choice between which of these statements will be true. This paper proposes to capture ethical dilemmas as a…

人工智能 · 计算机科学 2021-03-03 Pavel Naumov , Rui-Jie Yew

In recent years, agents have become capable of communicating seamlessly via natural language and navigating in environments that involve cooperation and competition, a fact that can introduce social dilemmas. Due to the interleaving of…

人工智能 · 计算机科学 2025-01-28 Maayan Orner , Oleg Maksimov , Akiva Kleinerman , Charles Ortiz , Sarit Kraus

Language models are increasingly deployed in interactive online environments, from personal chat assistants to domain-specific agents, raising questions about their cooperative and competitive behavior in multi-party settings. While prior…

人工智能 · 计算机科学 2025-09-08 Mukul Singh , Arjun Radhakrishna , Sumit Gulwani

Using theory and experiments, this paper shows that the difficulty of making tradeoffs offers a parsimonious explanation for a wide range of behavioral phenomena. We develop a model of imprecise comparisons applicable to multiattribute,…

综合经济学 · 经济学 2026-04-01 Cassidy Shubatt , Jeffrey Yang

A significant element of human cooperative intelligence lies in our ability to identify opportunities for fruitful collaboration; and conversely to recognise when the task at hand is better pursued alone. Research on flexible cooperation in…

多智能体系统 · 计算机科学 2026-03-10 Max Taylor-Davies , Neil Bramley , Christopher G. Lucas

Explainability algorithms aimed at interpreting decision-making AI systems usually consider balancing two critical dimensions: 1) \textit{faithfulness}, where explanations accurately reflect the model's inference process. 2)…

人工智能 · 计算机科学 2024-04-02 Xiaolei Lu , Jianghong Ma

An agent who interacts with a wide population of other agents needs to be aware that there may be variations in their understanding of the world. Furthermore, the machinery which they use to perceive may be inherently different, as is the…

人工智能 · 计算机科学 2019-11-20 Rodolfo Corona , Stephan Alaniz , Zeynep Akata

$S$ equilibrium synthesizes a century of game-theoretic modeling. $S$-beliefs determine choices as in the refinement literature and level-$k$, without anchoring on Nash equilibrium or imposing ad hoc belief formation. $S$-choices allow for…

理论经济学 · 经济学 2023-07-13 Jacob K Goeree , Bernardo Garcia-Pola

In this paper, we analyze a Hegselmann-Krause opinion formation model with attractive-lacking interaction. More precisely, we investigate the situation in which the individuals involved in an opinion formation process interact among…

最优化与控制 · 数学 2024-07-08 Elisa Continelli , Cristina Pignotti

Modern language models fail a fundamental requirement of trustworthy intelligence: knowing when not to answer. Despite achieving impressive accuracy on benchmarks, these models produce confident hallucinations, even when wrong answers carry…

机器学习 · 计算机科学 2025-11-25 Mohamad Amin Mohamadi , Tianhao Wang , Zhiyuan Li