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We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than 1. We give a new proof of…

Multiagent Systems · Computer Science 2009-03-13 Vincent D. Blondel , Julien M. Hendrickx , John N. Tsitsiklis

Given a monotone convex function on the space of essentially bounded random variables with the Lebesgue property (order continuity), we consider its extension preserving the Lebesgue property to as big solid vector space of random variables…

Functional Analysis · Mathematics 2014-02-20 Keita Owari

We propose a novel class of convex risk measures, based on the concept of the Fr\'echet mean, designed in order to handle uncertainty which arises from multiple information sources regarding the risk factors of interest. The proposed risk…

Risk Management · Quantitative Finance 2022-09-13 Georgios I. Papayiannis , Athanasios N. Yannacopoulos

Current business cycle theory is an application of the general equilibrium theory. This paper presents the business cycle model without using general equilibrium framework. We treat agents risk assessments as their coordinates x on economic…

Economics · Quantitative Finance 2018-04-16 Victor Olkhov

Longitudinal data tracking repeated measurements on individuals are highly valued for research because they offer controls for unmeasured individual heterogeneity that might otherwise bias results. Random effects or mixed models approaches,…

Applications · Statistics 2009-09-29 J. R. Lockwood , Daniel F. McCaffrey

This paper explores the emergence of norms in agents' societies when agents play multiple -even incompatible- roles in their social contexts simultaneously, and have limited interaction ranges. Specifically, this article proposes two…

Multiagent Systems · Computer Science 2015-03-25 George Vouros

We present a solvable model for describing quantitatively situations where the individual behaviour of agents in a group "percolates" to collective behaviour of the group as a whole as a result of mutual influence between the agents.

adap-org · Physics 2015-06-24 I. -O. Stamatescu , T. T. Wu

Interest in targeted disease prevention has stimulated development of models that assign risks to individuals, using their personal covariates. We need to evaluate these models, and to quantify the gains achieved by expanding a model with…

Methodology · Statistics 2009-06-16 Alice S. Whittemore

In this paper we discuss a scaling approach to business fluctuations. Our starting point consists in recognizing that concepts and methods derived from physics have allowed economists to (re)discover a set of stylized facts which have to be…

In economic applications, model averaging has found principal use examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade.Though often easy to articulate, these…

Applications · Statistics 2019-10-16 Alex Lenkoski , Fredrik Lohne Aanes

We explore the possibilities of enforcing and preventing consensus in continuous opinion dynamics that result from modifications in the communication rules. We refer to the model of Weisbuch and Deffuant, where $n$ agents adjust their…

Physics and Society · Physics 2011-01-18 Jan Lorenz , Diemo Urbig

We present the LLM Economist, a novel framework that uses agent-based modeling to design and assess economic policies in strategic environments with hierarchical decision-making. At the lower level, bounded rational worker agents --…

Multiagent Systems · Computer Science 2025-07-22 Seth Karten , Wenzhe Li , Zihan Ding , Samuel Kleiner , Yu Bai , Chi Jin

In capitalist societies, only a single right can be fully exerted without constraints of any kind: the limitless accumulation of wealth. Such imperative or prime axiom is the ultimate cause of the raising waves of inequalities observed…

Physics and Society · Physics 2025-01-16 Iago Nascimento Barros , Marcelo Lobato Martins

We examine the evolutionary basis for risk aversion with respect to aggregate risk. We study populations in which agents face choices between alternatives with different levels of aggregate risk. We show that the choices that maximize the…

Theoretical Economics · Economics 2023-02-06 Yuval Heller , Ilan Nehama

We formulate and analyze a multi-agent model for the evolution of individual and systemic risk in which the local agents interact with each other through a central agent who, in turn, is influenced by the mean field of the local agents. The…

Mathematical Finance · Quantitative Finance 2015-08-19 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

Systemic risk measures are crucial for the stability of financial markets, yet classical formulations fail to capture the complexity of market volatility. We propose a new framework for systemic risk measurement on the variable-exponent…

Risk Management · Quantitative Finance 2026-02-25 Fei Sun , Jieming Zhou

We consider a large, homogeneous portfolio of life or disability annuity policies. The policies are assumed to be independent conditional on an external stochastic process representing the economic-demographic environment. Using a…

Risk Management · Quantitative Finance 2014-08-27 Boualem Djehiche , Björn Löfdahl

We consider the problem of belief aggregation: given a group of individual agents with probabilistic beliefs over a set of uncertain events, formulate a sensible consensus or aggregate probability distribution over these events. Researchers…

Artificial Intelligence · Computer Science 2013-02-08 David M. Pennock , Michael P. Wellman

Self-modification of agents embedded in complex environments is hard to avoid, whether it happens via direct means (e.g. own code modification) or indirectly (e.g. influencing the operator, exploiting bugs or the environment). It has been…

Artificial Intelligence · Computer Science 2021-01-19 Jakub Tětek , Marek Sklenka , Tomáš Gavenčiak

Exploring the collective behavior of interacting entities is of great interest and importance. Rather than focusing on static and uniform connections, we examine the co-evolution of diverse mobile agents experiencing varying interactions…

Physics and Society · Physics 2023-10-16 Guram Mikaberidze , Sayantan Nag Chowdhury , Alan Hastings , Raissa M. DSouza