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The uncertainty principle limits quantum states such that when one observable takes predictable values there must be some other mutually unbiased observables which take uniformly random values. We show that this restrictive condition plays…

量子物理 · 物理学 2014-08-12 Oscar C. O. Dahlsten , Andrew J. P. Garner , Vlatko Vedral

Learning from demonstrations has gained increasing interest in the recent past, enabling an agent to learn how to make decisions by observing an experienced teacher. While many approaches have been proposed to solve this problem, there is…

机器学习 · 计算机科学 2017-02-28 Jürgen Hahn , Abdelhak M. Zoubir

Consider the process of collective decision-making, in which a group of individuals interactively select a preferred outcome from among a universe of alternatives. In this context, "representation" is the activity of making an individual's…

Nontransitive choices have long been an area of curiosity within economics. However, determining whether nontransitive choices represent an individual's preference is a difficult task since choice data is inherently stochastic. This paper…

理论经济学 · 经济学 2023-05-01 Mogens Fosgerau , John Rehbeck

Contrary to common belief, it is not difficult to construct deterministic models where stochastic behavior is correctly described by quantum mechanical amplitudes, in precise accordance with the Copenhagen-Bohr-Bohm doctrine. What is…

量子物理 · 物理学 2007-05-23 Gerard 't Hooft

Revealed preference theory studies the possibility of modeling an agent's revealed preferences and the construction of a consistent utility function. However, modeling agent's choices over preference orderings is not always practical and…

机器学习 · 统计学 2018-02-21 Venkata Sriram Siddhardh Nadendla , Cedric Langbort

Quantum uncertainty is the cornerstone of quantum mechanics which underlies many counterintuitive nonclassical phenomena. Recent studies remarkably showed that it also fundamentally limits nonclassical correlation, and crucially, a…

量子物理 · 物理学 2020-05-15 Agung Budiyono

In this article we propose a qualitative (ordinal) counterpart for the Partially Observable Markov Decision Processes model (POMDP) in which the uncertainty, as well as the preferences of the agent, are modeled by possibility distributions.…

人工智能 · 计算机科学 2013-01-30 Regis Sabbadin

We consider the problem of quantum behavior in the finite background. Introduction of continuum or other infinities into physics leads only to technical complications without any need for them in description of empirical observations. The…

量子物理 · 物理学 2012-02-15 Vladimir V. Kornyak

We study an extension of the voter model in which each agent is endowed with an innate preference for one of two states that we term as "truth" or "falsehood". Due to interactions with neighbors, an agent that innately prefers truth can be…

物理与社会 · 物理学 2011-05-03 Naoki Masuda , S. Redner

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…

理论经济学 · 经济学 2019-10-24 Ignacio Esponda , Demian Pouzo , Yuichi Yamamoto

A deterministic model with a large number of continuous and discrete degrees of freedom is described, and a statistical treatment is proposed. The model exactly obeys a Schrodinger equation, which has to be interpreted exactly according to…

量子物理 · 物理学 2015-06-26 G. 't Hooft

According to Dennett, the same system may be described using a `physical' (mechanical) explanatory stance, or using an `intentional' (belief- and goal-based) explanatory stance. Humans tend to find the physical stance more helpful for…

机器学习 · 计算机科学 2018-06-01 Laurent Orseau , Simon McGregor McGill , Shane Legg

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

偏微分方程分析 · 数学 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

多智能体系统 · 计算机科学 2020-07-03 Orowa Sikder

Agents often have individual goals which depend on a group's actions. If agents trust a forecast of collective action and adapt strategically, such prediction can influence outcomes non-trivially, resulting in a form of performative…

机器学习 · 计算机科学 2025-02-18 António Góis , Mehrnaz Mofakhami , Fernando P. Santos , Gauthier Gidel , Simon Lacoste-Julien

We present the mathematical model of decision making (DM) of agents acting in a complex and uncertain environment (combining huge variety of economical, financial, behavioral, and geo-political factors). To describe interaction of agents…

数学物理 · 物理学 2017-10-25 F. Bagarello , A. Khrennikov , E. Haven

In this paper we investigate the potential for persuasion arising from the quantum indeterminacy of a decision-maker's beliefs, a feature that has been proposed as a formal expression of well-known cognitive limitations. We focus on a…

物理与社会 · 物理学 2018-05-25 Vladimir I. Danilov , Ariane Lambert-Mogiliansky

We study a repeated Principal Agent problem between a long lived Principal and Agent pair in a prior free setting. In our setting, the sequence of realized states of nature may be adversarially chosen, the Agent is non-myopic, and the…

计算机科学与博弈论 · 计算机科学 2023-11-15 Natalie Collina , Aaron Roth , Han Shao

Little effort has been devoted to studying generalised notions or models of (un)predictability, yet is an important concept throughout physics and plays a central role in quantum information theory, where key results rely on the supposed…

量子物理 · 物理学 2020-01-27 Alastair A. Abbott , Cristian S. Calude , Karl Svozil