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A variety of social, economic, and political interactions have long been modelled after Blotto games. In this paper, we introduce a general model of dynamic $n$-player Blotto contests. The players have asymmetric resources, and the…

Theoretical Economics · Economics 2022-07-27 Nejat Anbarcı , Kutay Cingiz , Mehmet S. Ismail

Within a contest there is some probability M_i(t) that contestant i will be the winner, given information available at time t, and M_i(t) must be a martingale in t. Assume continuous paths, to capture the idea that relevant information is…

Probability · Mathematics 2012-11-12 David Aldous , Mykhaylo Shkolnikov

Prisoner's dilemma game is the most commonly used model of spatial evolutionary game which is considered as a paradigm to portray competition among selfish individuals. In recent years, Win-Stay-Lose-Learn, a strategy updating rule base on…

Physics and Society · Physics 2021-01-27 Zhenyu Shi , Wei Wei , Xiangnan Feng , Xing Li , Zhiming Zheng

We study a model of competition for resource through a chemostat-type model where species consume the common resource that is constantly supplied. We assume that the species and resources are characterized by a continuous trait. As already…

Analysis of PDEs · Mathematics 2014-02-24 Sepideh Mirrahimi , Benoît Perthame , Joe Yuichiro Wakano

We present a linear agent based model on brand competition. Each agent belongs to one of the two brands and interacts with its nearest neighbors. In the process the agent can decide to change to the other brand if the move is beneficial.…

Physics and Society · Physics 2016-09-08 L. Casillas , F. J. Espinosa , R. Huerta-Quintanilla , M. Rodriguez-Achach

Interleaving is an online evaluation approach for information retrieval systems that compares the effectiveness of ranking functions in interpreting the users' implicit feedback. Previous work such as Hofmann et al (2011) has evaluated the…

Information Retrieval · Computer Science 2023-03-20 Alessandro Benedetti , Anna Ruggero

The problem of natural selection in dispersal-structured populations consisting of individuals characterized by different diffusion coefficients is studied. The competition between the organisms is taken into account through the assumption…

Adaptation and Self-Organizing Systems · Physics 2020-05-01 E. Heinsalu , D. Navidad Maeso , M. Patriarca

In resource contribution games, a class of non-cooperative games, the players want to obtain a bundle of resources and are endowed with bags of bundles of resources that they can make available into a common for all to enjoy. Available…

Computer Science and Game Theory · Computer Science 2024-04-01 Nicolas Troquard

For multiple emergencies caused by natural disasters, it is crucial to allocate resources equitably to each emergency location, especially when the availability of resources is limited in quantity. This paper has developed a multi-event…

Computer Science and Game Theory · Computer Science 2021-12-03 Rudrashis Majumder , Rakesh R Warier , Debasish Ghose

In real-life complex systems, individuals often encounter multiple social dilemmas that cannot be effectively captured using a single-game model. Furthermore, the environment and limited resources both play a crucial role in shaping…

Physics and Society · Physics 2025-04-15 Chengbin Sun , Alfonso de Miguel-Arribas , Chaoqian Wang , Haoxiang Xia , Yamir Moreno

The accumulation of individual fitness or wealth is modelled as a population game in which pairs of individuals are recurrently and randomly matched to play a game over a resource. In addition, all individuals have random access to a…

Physics and Society · Physics 2021-08-13 Sylvain Gibaud , Jorgen W. Weibull

Drawing intuition from a (physical) hydraulic system, we present a novel framework, constructively showing the existence of a strong Nash equilibrium in resource selection games (i.e., asymmetric singleton congestion games) with nonatomic…

Computer Science and Game Theory · Computer Science 2016-06-07 Yannai A. Gonczarowski , Moshe Tennenholtz

In this work, we study a generalized Fisher market model that incorporates social influence. In this extended model, a buyer's utility depends not only on their own resource allocation but also on the allocations received by their…

Computer Science and Game Theory · Computer Science 2025-01-14 Mandar Datar

We study the efficiency of allocations in large markets with a network structure where every seller owns an edge in a graph and every buyer desires a path connecting some nodes. While it is known that stable allocations in such settings can…

Computer Science and Game Theory · Computer Science 2015-10-06 Elliot Anshelevich , Shreyas Sekar

Humanity faces numerous problems of common-pool resource appropriation. This class of multi-agent social dilemma includes the problems of ensuring sustainable use of fresh water, common fisheries, grazing pastures, and irrigation systems.…

Multiagent Systems · Computer Science 2017-09-07 Julien Perolat , Joel Z. Leibo , Vinicius Zambaldi , Charles Beattie , Karl Tuyls , Thore Graepel

The sustainable management of common resources often leads to a social dilemma known as the tragedy of the commons: individuals benefit from rapid extraction of resources, while communities as a whole benefit from more sustainable…

Populations and Evolution · Quantitative Biology 2025-02-11 Tianyong Yao , Daniel B. Cooney

We demonstrate that any physical object, as long as its volume is conserved when coupled with suitable operations, provides a sophisticated decision-making capability. We consider the problem of finding, as accurately and quickly as…

Artificial Intelligence · Computer Science 2015-09-02 Song-Ju Kim , Masashi Aono , Etsushi Nameda

The minority model was introduced to study the competition between agents with limited information. It has the remarkable feature that, as the amount of information available increases, the collective gain made by the agents is reduced.…

Statistical Mechanics · Physics 2007-05-23 M. A. R. de Cara , O. Pla , F. Guinea

Information sharing between individuals is crucial to improve performance in collective tasks. However, in a competitive world, individuals may be reluctant to share information with the others, and it is still unclear how the presence of…

Physics and Society · Physics 2026-05-04 Ye Wang , Andrea Civilini , Anzhi Sheng , Xiaojie Chen , Long Wang , Vito Latora

Decision making is a fundamental capability of living organisms, and has recently been gaining increasing importance in many engineering applications. Here, we consider a simple decision-making principle to identify an optimal choice in…

Applied Physics · Physics 2020-03-27 Tomoaki Niiyama , Genki Furuhata , Atsushi Uchida , Makoto Naruse , Satoshi Sunada