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Games with environmental feedback have become a crucial area of study across various scientific domains, modelling the dynamic interplay between human decisions and environmental changes, and highlighting the consequences of our choices on…

Physics and Society · Physics 2024-03-19 Meghdad Saeedian , Chengyi Tu , Fabio Menegazzo , Paolo D'Odorico , Sandro Azaele , Samir Suweis

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

Information Theory · Computer Science 2025-01-20 Thomas F. Varley

Trick-taking card games feature a large amount of private information that slowly gets revealed through a long sequence of actions. This makes the number of histories exponentially large in the action sequence length, as well as creating…

Artificial Intelligence · Computer Science 2019-05-28 Douglas Rebstock , Christopher Solinas , Michael Buro , Nathan R. Sturtevant

Biologists measure information in different ways. Neurobiologists and researchers in bioinformatics often measure information using information-theoretic measures such as Shannon's entropy or mutual information. Behavioral biologists and…

Populations and Evolution · Quantitative Biology 2007-07-13 Carl T. Bergstrom , Michael Lachmann

The symbiotic relationship between the frameworks of classical game theory and evolutionary game theory is well-established. However, evolutionary game theorists have mostly tapped into the classical game of complete information where…

Populations and Evolution · Quantitative Biology 2025-04-04 Arunava Patra , Joy Das Bairagya , Sagar Chakraborty

In the realm of evolutionary game theory, standard frameworks typically presuppose that every player possesses comprehensive knowledge and unrestricted access to the entire strategy space. However, real-world human society inherently…

Computer Science and Game Theory · Computer Science 2025-09-30 Feipeng Zhang , Te Wu , Guofeng Zhang , Long Wang

Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

Computer Science and Game Theory · Computer Science 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

In the game-theoretic model war of attrition, players are subject to an explicit cost proportional to the duration of contests. We construct a model where the time cost is not explicitly given, but instead depends implicitly on the…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren , Torbjörn Lundh

We construct a model of strategic imitation in an arbitrary network of players who interact through an additive game. Assuming a discrete time update, we show a condition under which the resulting difference equations converge to consensus.…

Dynamical Systems · Mathematics 2019-04-15 Christopher Griffin , Sarah Rajtmajer , Anna Squicciarini , Andrew Belmonte

Online games are dynamic environments where players interact with each other, which offers a rich setting for understanding how players negotiate their way through the game to an ultimate victory. This work studies online player…

Computation and Language · Computer Science 2023-11-16 Kokil Jaidka , Hansin Ahuja , Lynnette Ng

We modeled the dynamics of a soccer match based on a network representation where players are nodes discretely clustered into homogeneous groups. Players were grouped by physical proximity, supported by the intuitive notion that competing…

Social and Information Networks · Computer Science 2021-08-09 Luis Ramada Pereira , Rui J. Lopes , Jorge Louçã , Duarte Araújo , João Ramos

We consider the dynamics, existence and stability of the equilibrium states for large populations of individuals who can play various types of non--cooperative games. The players imitate the most attractive strategies, and the choice is…

Adaptation and Self-Organizing Systems · Physics 2012-04-02 Tadeusz Platkowski , Jan Zakrzewski

The information entropy budget and the rate of information transfer between variables is studied in the context of a nonlinear reduced-order atmospheric model. The key ingredients of the dynamics are present in this model, namely the…

Atmospheric and Oceanic Physics · Physics 2024-04-02 Stéphane Vannitsem , Carlos A. Pires , David Docquier

When playing games in groups, it is an advantage for individuals to have accurate statistical information on the strategies of their opponents. Such information may be obtained by remembering previous interactions. We consider a…

Adaptation and Self-Organizing Systems · Physics 2015-10-14 James Burridge

Stemming from physics and later applied to other fields such as ecology, the theory of critical transitions suggests that some regime shifts are preceded by statistical early warning signals. Reddit's r/place experiment, a large-scale…

Physics and Society · Physics 2026-03-23 Guillaume Falmagne , Anna B. Stephenson , Simon A. Levin

Deep learning is a powerful tool whose applications in quantitative finance are growing every day. Yet, artificial neural networks behave as black boxes and this hinders validation and accountability processes. Being able to interpret the…

Pricing of Securities · Quantitative Finance 2021-04-20 Damiano Brigo , Xiaoshan Huang , Andrea Pallavicini , Haitz Saez de Ocariz Borde

Forecasting winners in E-sports with real-time analytics has the potential to further engage audiences watching major tournament events. However, making such real-time predictions is challenging due to unpredictable variables within the…

Machine Learning · Computer Science 2024-02-27 Kittimate Chulajata , Sean Wu , Fabien Scalzo , Eun Sang Cha

In multi-player card games such as Skat or Bridge, the early stages of the game, such as bidding, game selection, and initial card selection, are often more critical to the success of the play than refined middle- and end-game play. At the…

Artificial Intelligence · Computer Science 2025-12-18 Stefan Edelkamp

We develop a model to describe the development of dominance relations between social animals as they use past experiences to inform future interactions. Using the game-theoretic framework of a Hawk-Dove game with asymmetric resource-holding…

Populations and Evolution · Quantitative Biology 2013-08-27 Jasvir K. Grewal , Cameron L. Hall , Mason A. Porter , Marian S. Dawkins

For sustainable growth and profitability, online game companies are constantly carrying out various events to attract new game users, to maximize return users, and to minimize churn users in online games. Because minimizing churn users is…

Human-Computer Interaction · Computer Science 2019-09-25 Kyoung Ho Kim , Huy Kang Kim