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We study the competitive equilibrium of large random economies with linear activities using methods of statistical mechanics. We focus on economies with $C$ commodities, $N$ firms, each running a randomly drawn linear technology, and one…

统计力学 · 物理学 2008-12-10 A. De Martino , M. Marsili , I. Pérez Castillo

In multi-agent environments in which coordination is desirable, the history of play often causes lock-in at sub-optimal outcomes. Notoriously, technologies with a significant environmental footprint or high social cost persist despite the…

计算机科学与博弈论 · 计算机科学 2020-07-28 Stefanos Leonardos , Iosif Sakos , Costas Courcoubetis , Georgios Piliouras

City-size distributions follow an approximate power law in various countries despite high volatility in relative city sizes over time. Our empirical evidence for the United States and Japan indicates that the scaling law stems from a…

综合经济学 · 经济学 2023-04-25 Tomoya Mori , Takashi Akamatsu , Yuki Takayama , Minoru Osawa

Economic growth is conventionally analyzed at the national level, yet cities generate the bulk of global output. Here we construct GDP trajectories for 8,808 functional urban areas (FUAs) across 165 countries over 1993-2019 using…

综合经济学 · 经济学 2026-03-18 Isaak Mengesha , Debraj Roy

The transient fluctuation of the prosperity of firms in a network economy is investigated with an abstract stochastic model. The model describes the profit which firms make when they sell materials to a firm which produces a product and the…

分子网络 · 定量生物学 2013-07-19 Yoshiharu Maeno

The origin of economic crises is a key problem for economics. We present a model of long-run competitive markets to show that the multiplicity of behaviors in an economic system, over a long time scale, emerge as statistical regularities…

物理与社会 · 物理学 2010-10-08 Yong Tao

Assessing the resilience of the economy requires accounting for its intrinsic multi-layer nature, by assessing for instance how disruptions at the firm level spread through the production network and propagate to the banking sector. Methods…

物理与社会 · 物理学 2026-03-11 Soumen Majhi , Anna Mancini , Giulio Cimini

The notion of Self-organized criticality (SOC) had been conceived to interpret the spontaneous emergence of long range correlations in nature. Since then many different models had been introduced to study SOC. All of them have few common…

统计力学 · 物理学 2023-05-03 S. S. Manna

The design of robust supply and distribution systems is one of the fundamental challenges at the interface of network science and logistics. Given the multitude of performance criteria, real-world constraints, and external influences acting…

社会与信息网络 · 计算机科学 2021-12-07 Alexey Lyutov , Yilmaz Uygun , Marc-Thorsten Hütt

Turing patterns, arising from the interplay between competing species of diffusive particles, has long been an important concept for describing non-equilibrium self-organization in nature, and has been extensively investigated in many…

Macroevolutionary dynamics often display sudden, explosive surges, where systems remain relatively stable for extended periods before experiencing dramatic acceleration that frequently exceeds traditional exponential growth. This pattern is…

物理与社会 · 物理学 2026-01-23 Alessandro Bellina , Giordano De Marzo , Vittorio Loreto

During a financial crisis, the capital markets network frequently exhibits a high correlation between returns. We developed a network analysis framework based on daily returns from 42 countries to determine systemic stability. Our network…

动力系统 · 数学 2022-01-06 Supanat Kamtue , Pongsak Luangaram , Sirawit Woramongkhon

The vulnerability of an isolated network to cascades is fundamentally affected by its interactions with other networks. Motivated by failures cascading among electrical grids, we study the Bak-Tang-Wiesenfeld sandpile model on two…

无序系统与神经网络 · 物理学 2010-10-11 Charles D. Brummitt , Raissa M. D'Souza , Elizabeth A. Leicht

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

无序系统与神经网络 · 物理学 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

Entropy production is often interpreted as a proxy for microscopic disorder or environmental roughness in stochastic systems. We test this interpretation using controlled simulations of overdamped stochastic dynamics on curved surfaces in…

统计力学 · 物理学 2026-02-23 Patrick Romanescu

Extreme economic outcomes are not shaped by tails alone. They are also shaped by unequal access to opportunities. This paper develops a theory of heterogeneous extremes by taking the distribution of opportunity access as the object of…

理论经济学 · 经济学 2026-03-24 I. Sebastian Buhai

Why are human societies unstable? Theories based on the observation of recurring patterns in historical data indicate that economic inequality, as well as social factors are key drivers. So far, models of this phenomenon are more…

物理与社会 · 物理学 2025-06-24 Alexander Jochim , Stefan Bornholdt

The presence of hierarchy in many real-world networks is not yet fully explained. Complex interaction networks are often coarse-grain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for…

物理与社会 · 物理学 2021-02-24 C. Tyler Diggans , Jeremie Fish , Erik Bollt

A model is presented of the market dynamics to emphasis the effects of increasing returns to scale, including the description of the born and death of the adaptive producers. The evolution of market structure and its behavior with the…

统计力学 · 物理学 2008-12-02 Ying Fan , Menghui Li , Zengru Di

We explore the nonlinear dynamics of a macroeconomic model with resource constraints. The dynamics is derived from a production function that considers capital and a generalized form of energy as inputs. Energy, the new variable, is…

理论经济学 · 经济学 2024-08-30 Frank Schweitzer , Giona Casiraghi