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We discuss a family of models expressed by nonlinear differential equation systems describing closed market societies in the presence of taxation and redistribution. We focus in particular on three example models obtained in correspondence…

General Finance · Quantitative Finance 2014-03-19 Maria Letizia Bertotti , Giovanni Modanese

Advances in experimental techniques allow the collection of high-resolution spatio-temporal data that track individual motile entities over time. These tracking data motivate the use of mathematical models to characterise the motion…

Data Analysis, Statistics and Probability · Physics 2025-03-30 Arianna Ceccarelli , Alexander P. Browning , Ruth E. Baker

In this paper we study the dynamics of a class of bi-agent logistics systems consisting of two types of agents interacting on an arbitrary complex network. By approximating the system with simple microscopic models and solving them…

Adaptation and Self-Organizing Systems · Physics 2020-10-23 Bo Yang , Qianxiao Li

For discrete panel data, the dynamic relationship between successive observations is often of interest. We consider a dynamic probit model for short panel data. A problem with estimating the dynamic parameter of interest is that the model…

Methodology · Statistics 2014-09-30 Wei Gao , Wicher Bergsma , Qiwei Yao

The classical setting of optimal control theory assumes full knowledge of the process dynamics and the costs associated with every control strategy. The problem becomes much harder if the controller only knows a finite set of possible…

Optimization and Control · Mathematics 2019-08-27 Marc Aurèle Gilles , Alexander Vladimirsky

We have studied numerically the statistical mechanics of the dynamic phenomena, including money circulation and economic mobility, in some transfer models. The models on which our investigations were performed are the basic model proposed…

Physics and Society · Physics 2008-12-02 Yougui Wang , Ning Ding

The article discusses building models based on the reconstructed attractors of the time series. Discusses the use of the properties of dynamical chaos, namely to identify the strange attractors structure models. Here is used the group…

Computational Engineering, Finance, and Science · Computer Science 2014-02-07 Evgeny Nikulchev

An analyst observes an agent take a sequence of actions. The analyst does not have access to the agent's information and ponders whether the observed actions could be justified through a rational Bayesian model with a known utility…

Theoretical Economics · Economics 2025-04-08 Henrique de Oliveira , Rohit Lamba

We consider the continuous time version of the `true' or `myopic' self-avoiding random walk with site repulsion in 1d. The Ray-Knight-type method which was applied to the discrete time and edge repulsion case, is applicable to this model…

Probability · Mathematics 2019-05-20 Balint Toth , Balint Veto

Deductive and abductive reasoning are two critical paradigms for analyzing knowledge graphs, enabling applications from financial query answering to scientific discovery. Deductive reasoning on knowledge graphs usually involves retrieving…

Artificial Intelligence · Computer Science 2026-02-12 Yisen Gao , Jiaxin Bai , Yi Huang , Xingcheng Fu , Qingyun Sun , Yangqiu Song

Continuous and discrete time systems possessing strange non-chaotic attractors are under investigation. It is demonstrated that unpredictable trajectories exist in the dynamics. A recent numerical technique, the sequential test, is utilized…

Chaotic Dynamics · Physics 2021-11-01 Marat Akhmet , Mehmet Onur Fen , Astrit Tola

Textual patterns (e.g., Country's president Person) are specified and/or generated for extracting factual information from unstructured data. Pattern-based information extraction methods have been recognized for their efficiency and…

Computation and Language · Computer Science 2020-06-12 Yang Zhou , Tong Zhao , Meng Jiang

This paper develops a general framework for dynamic models in which individuals simultaneously make both discrete and continuous choices. The framework incorporates a wide range of unobserved heterogeneity. I show that such models are…

Econometrics · Economics 2025-04-24 Christophe Bruneel-Zupanc

This paper consider a highly general dissemination model that keeps track of the stochastic evolution of the distribution of wealth over a set of agents. There are two types of events: (i) units of wealth externally arrive, and (ii) units…

Probability · Mathematics 2022-07-12 K. M. D. Chan , M. R. H. Mandjes

The timing of strategic exit is one of the most important but difficult business decisions, especially under competition and uncertainty. Motivated by this problem, we examine a stochastic game of exit in which players are uncertain about…

Optimization and Control · Mathematics 2023-10-09 H. Dharma Kwon , Jan Palczewski

Empirical data on the dynamics of human face-to-face interactions across a variety of social venues have recently revealed a number of context-independent structural and temporal properties of human contact networks. This universality…

Physics and Society · Physics 2016-07-13 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

We formalize the paradox of an omniscient yet lazy investor - a perfectly informed agent who trades infrequently due to execution or computational frictions. Starting from a deterministic geometric construction, we derive a closed-form…

Trading and Market Microstructure · Quantitative Finance 2025-10-29 Stanisław M. S. Halkiewicz

We consider the problem of fitting a linear model to data held by individuals who are concerned about their privacy. Incentivizing most players to truthfully report their data to the analyst constrains our design to mechanisms that provide…

Computer Science and Game Theory · Computer Science 2015-06-12 Rachel Cummings , Stratis Ioannidis , Katrina Ligett

Recent work has constructed economic mechanisms that are both truthful and differentially private. In these mechanisms, privacy is treated separately from the truthfulness; it is not incorporated in players' utility functions (and doing so…

Computer Science and Game Theory · Computer Science 2012-11-14 Yiling Chen , Stephen Chong , Ian A. Kash , Tal Moran , Salil Vadhan

In this manuscript, we develop and analyze a continuous version of the well-known Bennati-Dragulescu-Yakovenko (BDY) dollar-exchange discrete model. Starting from the conservative BDY exchange mechanism, we rely on kinetic theory for…

Analysis of PDEs · Mathematics 2025-12-09 Fei Cao , Nadia Loy