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When aggregating Subjective Expected Utility preferences, the Pareto principle leads to an impossibility result unless the individuals have a common belief. This paper examines the source of this impossibility in more detail by considering…

Theoretical Economics · Economics 2026-02-24 Kensei Nakamura

L-shape probability distributions are extremely non-Gaussian distributions that have been surprisingly successful in describing the frequency of occurrence of extreme events, ranging from stock market crashes and natural disasters, the…

Optics · Physics 2008-09-16 David Borlaug , Sasan Fathpour , Bahram Jalali

In this work, we aim to reconcile several apparently contradictory observations in market microstructure: is the famous "square-root law" of metaorder impact, which decays with time, compatible with the random-walk nature of prices and the…

Trading and Market Microstructure · Quantitative Finance 2026-03-05 Guillaume Maitrier , Jean-Philippe Bouchaud

A common expectation is that career productivity peaks rather early and then gradually declines with seniority. But whether this holds true is still an open question. Here we investigate the productivity trajectories of almost 8,500…

Physics and Society · Physics 2024-08-14 Andre S. Sunahara , Matjaz Perc , Haroldo V. Ribeiro

We study simultaneous price drops of real stocks and show that for high drop thresholds they follow a power-law distribution. To reproduce these collective downturns, we propose a minimal self-organized model of cascade spreading based on a…

Physics and Society · Physics 2015-03-13 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

This paper reports the results of a series of field experiments designed to investigate how peer effects operate in a real work setting. Workers were hired from an online labor market to perform an image-labeling task and, in some cases, to…

Human-Computer Interaction · Computer Science 2010-08-17 John J. Horton

We investigate the containment of epidemic spreading in networks from a normative point of view. We consider a susceptible/infected model in which agents can invest in order to reduce the contagiousness of network links. In this setting, we…

Theoretical Economics · Economics 2020-07-16 Geraldine Bouveret , Antoine Mandel

We propose a mean functional which exists for any probability distributions, and which characterizes the Pareto distribution within the set of distributions with finite left endpoint. This is in sharp contrast to the mean excess plot which…

Methodology · Statistics 2024-04-05 Bernhard Klar

In this article we discuss the distribution of asset price movements by the market potential function. From the principle of free energy minimization we analyze two different kinds of market potentials. We obtain a U-shaped potential when…

Statistical Finance · Quantitative Finance 2014-03-14 Dong Han Kim , Stefano Marmi

Both theoretical and applied economics have a great deal to say about many aspects of the firm, but the literature on the extinctions, or demises, of firms is very sparse. We use a publicly available data base covering some 6 million firms…

Statistical Mechanics · Physics 2009-11-07 William Cook , Paul Ormerod

This paper introduces nonparametric econometric methods that characterize general power law distributions under basic stability conditions. These methods extend the literature on power laws in the social sciences in several directions.…

Economics · Quantitative Finance 2016-06-07 Ricardo T. Fernholz

When assessing the impact of extreme events, it is often not just a single component, but the combined behaviour of several components which is important. Statistical modelling using multivariate generalized Pareto (GP) distributions…

Methodology · Statistics 2018-02-07 Anna Kiriliouk , Holger Rootzén , Johan Segers , Jennifer L. Wadsworth

Many economic models feature monotone Markov dynamics on state spaces that may be noncompact. Establishing existence, uniqueness, and stability of stationary distributions in such settings has required a patchwork of sufficient conditions,…

Probability · Mathematics 2026-04-07 Takashi Kamihigashi , John Stachurski

Labor productivity in developed countries is analyzed and modeled. Modeling is based on our previous finding that the rate of labor force participation is a unique function of GDP per capita. Therefore, labor productivity is fully…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov , Oleg I. kitov

Personal income distributions in Japan are analyzed empirically and a simple stochastic model of the income process is proposed. Based on empirical facts, we propose a minimal two-factor model. Our model of personal income consists of an…

Physics and Society · Physics 2008-12-02 Wataru Souma , Makoto Nirei

We find the perhaps surprising inequality that the weighted average of independent and identically distributed Pareto random variables with infinite mean is larger than one such random variable in the sense of first-order stochastic…

Risk Management · Quantitative Finance 2024-03-14 Yuyu Chen , Paul Embrechts , Ruodu Wang

We introduce a new analytical framework for modelling degree sequences in individual communities of real-world networks, e.g., citations to papers in different fields. Our work is inspired by a recent modification of the Price's model,…

Physics and Society · Physics 2026-04-29 Łukasz Brzozowski , Marek Gagolewski , Grzegorz Siudem , Barbara Żogała-Siudem

We analyze how firms should design wage contracts when workers collaborate in teams and effort costs depend on colleagues through a peer network. Performance-based compensation generates incentives that cascade through the organization,…

Theoretical Economics · Economics 2026-04-17 Marc Claveria-Mayol , Pau Milán , Nicolás Oviedo-Dávila

A large consensus now seems to take for granted that the distributions of empirical returns of financial time series are regularly varying, with a tail exponent close to 3. We revisit this results and use standard tests as well as develop a…

Physics and Society · Physics 2008-12-10 Y. Malevergne , V. F. Pisarenko , D. Sornette

The statement of the mean field approximation theorem in the mean field theory of Markov processes particularly targets the behaviour of population processes with an unbounded number of agents. However, in most real-world engineering…

Probability · Mathematics 2017-05-11 Mahmoud Talebi , Jan Friso Groote , Jean-Paul Linnartz
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