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In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

Trading and Market Microstructure · Quantitative Finance 2013-10-08 Felix Patzelt , Klaus R. Pawelzik

Deep learning models evolve through training to learn the manifold in which the data exists to satisfy an objective. It is well known that evolution leads to different final states which produce inconsistent predictions of the same test…

Dynamical Systems · Mathematics 2021-06-16 Mohammed Eslami , Hamed Eramian , Marcio Gameiro , William Kalies , Konstantin Mischaikow

These lecture notes provide a self-contained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management. In particular, the topics covered comprise real-valued vector and matrix…

General Finance · Quantitative Finance 2015-09-17 Henk van Elst

We have carried out simulations of a financial model of the firm to analyse the validity of the concept of Trade on Equity in dynamics. The results exhibit the ability of the borrowing policy connected to a cautious dividend distribution to…

Chaotic Dynamics · Physics 2008-12-02 Safieddine Bouali

This study investigates the dynamic game behaviors of dual-channel supply chains involving an oligopoly manufacturer selling low-carbon products to online and offline retailers. The price game models under government subsidy are discussed…

Numerical Analysis · Mathematics 2023-03-28 Yi Tian , Li Zhao , Meihong Zhu

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics is offering models of markets as complex systems, such as the gas-like model, able to predict money distributions…

Chaotic Dynamics · Physics 2010-08-05 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

In this chapter, an input-output economic model with multiple interactive economic systems is considered. The model captures the multi-dimensional nature of the economic sectors or industries in each economic system, the interdependencies…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Minh Hoang Trinh , Nhat-Minh Le-Phan , Hyo-Sung Ahn

These lecture notes cover the DC Optimal Power and AC Optimal Power Flow formulations, as well as the Economic Dispatch for Power Systems. Their aim is to supplement the study material for the course "31765: Optimization in modern power…

Systems and Control · Computer Science 2018-11-05 Spyros Chatzivasileiadis

Optimal Learning Machines (OLM) are systems that extract maximally informative representation of the environment they are in contact with, or of the data they are presented. It has recently been suggested that these systems are…

Data Analysis, Statistics and Probability · Physics 2020-01-29 Matteo Marsili

We study the propensity of independent algorithms to collude in repeated Cournot duopoly games. Specifically, we investigate the predictive power of different oligopoly and bargaining solutions regarding the effect of asymmetry between…

General Economics · Economics 2025-01-14 Simon Martin , Hans-Theo Normann , Paul Püplichhuisen , Tobias Werner

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

This paper explores the evolution of occupations within the context of industry and technology life cycles, highlighting the critical yet underexplored intersection between occupational trends and broader economic dynamics. Introducing the…

Computers and Society · Computer Science 2024-06-25 Lan Chen , Yufei Ji , Xichen Yao , Hengshu Zhu

Physical analogs have shown considerable promise for understanding the behavior of complex adaptive systems, including macroeconomics, biological systems, social networks, and electric power markets. Many of today's most challenging…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David P. Chassin , Joel Malard , Christian Posse

We study the risk assessment of uncertain cash flows in terms of dynamic convex risk measures for processes as introduced in Cheridito, Delbaen, and Kupper (2006). These risk measures take into account not only the amounts but also the…

Risk Management · Quantitative Finance 2010-02-22 Beatrice Acciaio , Hans Foellmer , Irina Penner

An oligopoly is a market in which the price of goods is controlled by a few firms. Cournot introduced the simplest game-theoretic model of oligopoly, where profit-maximizing behavior of each firm results in market failure. Furthermore, when…

Physics and Society · Physics 2025-12-09 Masahiko Ueda , Shoma Yagi , Genki Ichinose

In the paper a simple discrete dynamical model for dynamics of two antagonistic agents (opponents) under iterated sanctions and counter-sanctions is proposed. The model is inspired with Osipov-Lanchester model for combats. Simple stability…

Optimization and Control · Mathematics 2022-07-19 Alexander Fradkov

Operational risk is the risk relative to monetary losses caused by failures of bank internal processes due to heterogeneous causes. A dynamical model including both spontaneous generation of losses and generation via interactions between…

Risk Management · Quantitative Finance 2012-07-27 Marco Bardoscia

We study how delegating pricing to large language models (LLMs) can facilitate collusion in a duopoly when both sellers rely on the same pre-trained model. The LLM is characterized by (i) a propensity parameter capturing its internal bias…

Theoretical Economics · Economics 2026-03-24 Shengyu Cao , Ming Hu

As the diversity of people in higher education grows, Universities are struggling to provide inclusive environments that nurture the spirit of free inquiry in the presence of these differences. At the extreme, the value of diversity is…

Physics and Society · Physics 2019-12-16 Kathryn V Johnston

Chaos is a fundamental feature of many complex dynamical systems, including weather systems and fluid turbulence. These systems are inherently difficult to predict due to their extreme sensitivity to initial conditions. Many chaotic systems…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Andrea Goertzen , Sunbochen Tang , Navid Azizan