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Markets have internal dynamics leading to excess volatility and other phenomena that are difficult to explain using rational expectations models. This paper studies these using a nonequilibrium price formation rule, developed in the context…

adap-org · 物理学 2015-06-30 J. Doyne Farmer

We consider the problem of learning optimal solutions of a partially known linear optimization problem and recovering its underlying cost function where a set of past decisions and the feasible set are known. We develop a new framework,…

最优化与控制 · 数学 2023-01-10 Farzin Ahmadi , Fardin Ganjkhanloo , Kimia Ghobadi

Developing robotic agents that can perform well in diverse environments while showing a variety of behaviors is a key challenge in AI and robotics. Traditional reinforcement learning (RL) methods often create agents that specialize in…

机器人学 · 计算机科学 2025-03-25 Octi Zhang , Quanquan Peng , Rosario Scalise , Bryon Boots

Finding a good compromise between the exploitation of known resources and the exploration of unknown, but potentially more profitable choices, is a general problem, which arises in many different scientific disciplines. We propose a…

无序系统与神经网络 · 物理学 2016-10-28 Thomas Gueudré , Alexander Dobrinevski , Jean-Philippe Bouchaud

We introduce a complex systems perspective on innovation in networks in which innovation is conceptualized as a form of creative act associated with the dynamics and evolution of business network. We show how innovation is a form of…

适应与自组织系统 · 物理学 2012-03-08 Ian Wilkinson , Louise Young

We introduce a numerical algorithm to simulate the time evolution of a matrix product state under a long-ranged Hamiltonian. In the effectively one-dimensional representation of a system by matrix product states, long-ranged interactions…

强关联电子 · 物理学 2015-07-03 Michael P. Zaletel , Roger S. K. Mong , Christoph Karrasch , Joel E. Moore , Frank Pollmann

Arthur's (1988) model for competing technologies is discussed from the perspective of evolution theory. Using Arthur's own model for the simulation, we show that 'lock-ins' can be suppressed by adding reflexivity or uncertainty on the side…

物理与社会 · 物理学 2010-01-26 Loet Leydesdorff , Peter Van den Besselaar

This paper is concerned with the uniqueness, existence, comparison principle and long-time behavior of solutions to the initial-boundary value problem for a unidirectional diffusion equation. The unidirectional evolution often appears in…

偏微分方程分析 · 数学 2015-01-07 Goro Akagi , Masato Kimura

Empirical researchers and decision-makers spanning various domains frequently seek profound insights into the long-term impacts of interventions. While the significance of long-term outcomes is undeniable, an overemphasis on them may…

机器学习 · 计算机科学 2024-09-17 Peng Wu , Ziyu Shen , Feng Xie , Zhongyao Wang , Chunchen Liu , Yan Zeng

We consider reversible random walks in random environment obtained from symmetric long--range jump rates on a random point process. We prove almost sure transience and recurrence results under suitable assumptions on the point process and…

概率论 · 数学 2015-11-30 P. Caputo , A. Faggionato , A. Gaudilliere

We introduce a general Hamiltonian framework that appears to be a natural setting for the derivation of various production functions in economic growth theory, starting with the celebrated Cobb-Douglas function. Employing our method, we…

理论经济学 · 经济学 2019-06-28 Roman G. Smirnov , Kunpeng Wang

The global asymptotic behavior of the classical diffusive Lotka-Volterra competition model with stage structure is studied. A complete classification of the global dynamics is given for the weak competition case. It is shown that under…

动力系统 · 数学 2019-09-10 Shanshan Chen , Junping Shi

Despite the vast literature on the diffusion of innovations that impacts a broad range of disciplines, our understanding of the abandonment of innovations remains limited yet is essential for a deeper understanding of the innovation…

物理与社会 · 物理学 2024-12-11 Binglu Wang , Ching Jin , Chaoming Song , Johannes Bjelland , Brian Uzzi , Dashun Wang

We study the evolutionary robustness of strategies in infinitely repeated prisoners' dilemma games in which players make mistakes with a small probability and are patient. The evolutionary process we consider is given by the replicator…

动力系统 · 数学 2020-08-03 Pedro Dal Bó , Enrique R. Pujals

Innovation is a key ingredient for the evolution of several systems, including social and biological ones. Focused investigations and lateral thinking may lead to innovation, as well as serendipity and other random discovery processes. Some…

物理与社会 · 物理学 2017-05-12 Giuliano Armano , Marco Alberto Javarone

A feature of human creativity is the ability to take a subset of existing items (e.g. objects, ideas, or techniques) and combine them in various ways to give rise to new items, which, in turn, fuel further growth. Occasionally, some of…

种群与进化 · 定量生物学 2019-08-21 Mike Steel , Wim Hordijk , Stuart A. Kauffman

A common assumption employed in most previous works on evolutionary game dynamics is that every individual player has full knowledge about and full access to the complete set of available strategies. In realistic social, economical, and…

适应与自组织系统 · 物理学 2018-11-14 Jun-Jie Jiang , Yu-Zhong Chen , Zi-Gang Huang , Ying-Cheng Lai

When controllers (brains) and morphologies (bodies) of robots simultaneously evolve, this can lead to a problem, namely the brain & body mismatch problem. In this research, we propose a solution of lifetime learning. We set up a system…

机器人学 · 计算机科学 2021-10-08 Jie Luo , Daan Zeeuwe , Agoston E. Eiben

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

The study of competition among brands in a common category is an interesting strategic issue for involved firms. Sales monitoring and prediction of competitors' performance represent relevant tools for management. In the pharmaceutical…

应用统计 · 统计学 2016-02-10 Renato Guseo , Cinzia Mortarino