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These lectures contain a brief description of evolutionary models inspired by the statistical mechanics of disordered systems. After an introduction describing the Darwinian paradigm of evolving populations, the deterministic quasispecies…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luca Peliti

Why do maladaptive perceptions and norms, such as zero-sum interpretations of interaction, persist even when they undermine cooperation and investment? We develop a framework where bounded rationality and heterogeneous cognitive biases…

General Economics · Economics 2026-01-07 Isaak Mengesha , Meiqi Sun , Debraj Roy

We study the Tangled Nature model of macro evolution and demonstrate that the co-evolutionary dynamics produces an increasingly correlated core of well occupied types. At the same time the entire configuration of types becomes increasing…

Statistical Mechanics · Physics 2015-03-13 Dominic Jones , Henrik Jeldtoft Jensen , Paolo Sibani

The evolution of economic and innovation systems at the national scale is shaped by a complex dynamics, the footprint of which is the nested structure of the activities in which different countries are competitive. Nestedness is a…

General Economics · Economics 2023-08-15 Aurelio Patelli , Lorenzo Napolitano , Giulio Cimini , Emanuele Pugliese , Andrea Gabrielli

Hubbell's neutral theory of biodiversity has successfully explained the observed composition of many ecological communities but it relies on strict demographic equivalence among species and provides no room for evolutionary processes like…

Populations and Evolution · Quantitative Biology 2012-11-16 David A. Kessler , Nadav M. Shnerb

The fitness landscape metaphor plays a central role on the modeling of optimizing principles in many research fields, ranging from evolutionary biology, where it was first introduced, to management research. Here we consider the ensemble of…

Populations and Evolution · Quantitative Biology 2019-01-30 Paulo R. A. Campos , José F. Fontanari

If one isolated species (corporation) is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species (corporations) can be expressed by a coupled system of two discrete logistic…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

One of the most intriguing questions in evolution is how organisms exhibit suitable phenotypic variation to rapidly adapt in novel selective environments which is crucial for evolvability. Recent work showed that when selective environments…

Populations and Evolution · Quantitative Biology 2015-08-28 Kostas Kouvaris , Jeff Clune , Louis Kounios , Markus Brede , Richard A. Watson

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

A model for economic behavior, under heterogeneous spatial economic conditions is developed. The role of selection pressure in a Bak-Sneppen-like dynamics with entity diffusion on a lattice is studied by Monte-Carlo simulation taking into…

Physics and Society · Physics 2015-06-26 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski

It has been hypothesized that one of the main reasons evolution has been able to produce such impressive adaptations is because it has improved its own ability to evolve -- "the evolution of evolvability". Rupert Riedl, for example, an…

Populations and Evolution · Quantitative Biology 2016-12-20 Loizos Kounios , Jeff Clune , Kostas Kouvaris , Günter P. Wagner , Mihaela Pavlicev , Daniel M. Weinreich , Richard A. Watson

Cooperation and competition are fundamental forces shaping both natural and human systems, yet their interplay remains poorly understood. The Prisoner's Dilemma Game (PDG) has long served as a foundational framework in Game Theory for…

Physics and Society · Physics 2025-08-01 Alfonso de Miguel-Arribas , Chengbin Sun , Carlos Gracia-Lázaro , Yamir Moreno

The processes of ecological interactions, dispersal and mutations shape the dynamics of biological communities, and analogous eco-evolutionary processes acting upon economic entities have been proposed to explain economic change. This…

Econometrics · Economics 2023-01-24 Victor Boussange , Didier Sornette , Heike Lischke , Loïc Pellissier

A generative recurrent neural network is quickly trained in an unsupervised manner to model popular reinforcement learning environments through compressed spatio-temporal representations. The world model's extracted features are fed into…

Machine Learning · Computer Science 2018-09-07 David Ha , Jürgen Schmidhuber

Explaining biodiversity in nature is a fundamental problem in ecology. An outstanding challenge is embodied in the so-called Competitive Exclusion Principle: two species competing for one limiting resource cannot coexist at constant…

Populations and Evolution · Quantitative Biology 2020-04-13 Xin Wang , Yang-Yu Liu

We analyze export data aggregated at world global level of 219 classes of products over a period of 39 years. Our main goal is to set up a dynamical model to identify and quantify plausible mechanisms by which the evolutions of the various…

Economics · Quantitative Finance 2016-09-20 Michele Caraglio , Fulvio Baldovin , Attilio L. Stella

We compare the likelihood of different socially relevant features to allow the evolutionary emergence and maintenance of cooperation in a generalized variant of the iterated Prisoners Dilemma game. Results show that the average…

Physics and Society · Physics 2013-11-19 Claudia Montoreano , Klaus Jaffe

The "Kill the Winner" hypothesis is an attempt to address the problem of diversity in biology. It argues that host-specific predators control the population of each prey, preventing a winner from emerging and thus maintaining the…

Biological Physics · Physics 2018-01-03 Chi Xue , Nigel Goldenfeld

Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While understanding and quantifying resilience is crucial to anticipate the possible regime…

Dynamical Systems · Mathematics 2019-05-10 Artur César Fassoni , Denis de Carvalho Braga

When a prediction algorithm serves a collection of users, disparities in prediction quality are likely to emerge. If users respond to accurate predictions by increasing engagement, inviting friends, or adopting trends, repeated learning…

Machine Learning · Computer Science 2025-11-27 Eden Saig , Nir Rosenfeld
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