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Heterogeneity has been studied as one of the most common explanations of the puzzle of cooperation in social dilemmas. A large number of papers have been published discussing the effects of increasing heterogeneity in structured populations…

Physics and Society · Physics 2017-11-13 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

While the benefits of common and public goods are shared, they tend to be scarce when contributions are provided voluntarily. Failure to cooperate in the provision or preservation of these goods is fundamental to sustainability challenges,…

General Economics · Economics 2025-08-05 Vítor V. Vasconcelos , Phillip M. Hannam , Simon A. Levin , Jorge M. Pacheco

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

In a world of hardening borders, nations may deprive themselves of enjoying the benefits of cooperative immigrants. Here, we analyze the effect of efficient cooperative immigrants on a population playing public goods games. We considered a…

Physics and Society · Physics 2021-07-14 Alessandra Friedrich Lütz , Marco Antonio Amaral , Lucas Wardil

Enforcing cooperation among substantial agents is one of the main objectives for multi-agent systems. However, due to the existence of inherent social dilemmas in many scenarios, the free-rider problem may arise during agents' long-run…

Computer Science and Game Theory · Computer Science 2018-11-16 Kai Li , Dong Hao

Social dilemmas are situations in which collective welfare is at odds with individual gain. One widely studied example, due to the conflict it poses between human behaviour and game theoretic reasoning, is the Traveler's Dilemma. The…

Computer Science and Game Theory · Computer Science 2023-12-11 Maria Alejandra Ramirez , Matteo Smerlak , Arne Traulsen , Jürgen Jost

The positive impact of cooperative bots on cooperation within evolutionary game theory is well documented; however, existing studies have predominantly used discrete strategic frameworks, focusing on deterministic actions with a fixed…

Physics and Society · Physics 2024-06-24 Zehua Si , Zhixue He , Chen Shen , Jun Tanimoto

We study co-evolutionary Prisoner's Dilemma games where each player can imitate both the strategy and imitation rule from a randomly chosen neighbor with a probability dependent on the payoff difference when the player's income is collected…

Physics and Society · Physics 2009-11-04 Gyorgy Szabo , Attila Szolnoki , Jeromos Vukov

Gallice and Monz\'on (2019) present a natural environment that sustains full co-operation in one-shot social dilemmas among a finite number of self-interested agents. They demonstrate that in a sequential public goods game, where agents…

General Economics · Economics 2026-03-13 Chowdhury Mohammad Sakib Anwar , Konstantinos Georgalos

We study a spatial Prisoner's dilemma game with two types (A and B) of players located on a square lattice. Players following either cooperator or defector strategies play Prisoner's Dilemma games with their 24 nearest neighbors. The…

Physics and Society · Physics 2015-05-13 Michel Droz , Janusz Szwabiński , György Szabó

According to evolutionary game theory, cooperation in public goods games is eliminated by free-riders, yet in nature, cooperation is ubiquitous. Artificial models resolve this contradiction via the mechanism of network reciprocity. However,…

Computer Science and Game Theory · Computer Science 2016-05-10 Steve Miller , Joshua Knowles

Objective: The study investigates the effect on cooperation in multiplayer games, when the population from which all individuals are drawn is structured - i.e. when a given individual is only competing with a small subset of the entire…

Computer Science and Game Theory · Computer Science 2016-02-08 Kaare B. Mikkelsen , Lars A. Bach

In this manuscript we explore the onset of cooperative traits in the Public Goods game. This well-known game involves N-agent interactions and thus reproduces a large number of social scenarios in which cooperation appears to be essential.…

Physics and Society · Physics 2014-10-22 Carlos Gracia-Lazaro , Jesus Gomez-Gardenes , Luis Mario Floria , Yamir Moreno

Traditionally, resource limitation in evolutionary game theory is assumed just to impose a constant population size. Here we show that resource limitations may generate dynamical payoffs able to alter an original prisoner's dilemma, and to…

Populations and Evolution · Quantitative Biology 2012-10-26 Rubén J. Requejo , Juan Camacho

Empirical studies have shown that individuals' behaviors are largely influenced by social conformity, including punishment. However, a coevolutionary theoretical framework that takes into account effects of conformity on individuals'…

Physics and Society · Physics 2018-02-06 Peng-Bi Cui , Zhi-Xi Wu , Tao Zhou

This paper proposes a mathematical model for the coevolution of actions and opinions for a population facing a social dilemma. In particular, we assume each person participates in a Public Goods Game (PGG), with their action being to…

Dynamical Systems · Mathematics 2026-04-13 Ella C. Davidson , Lorenzo Zino , Ming Cao , Mengbin Ye

Network-based systems are inherently interconnected, with the design and performance of subnetworks being interdependent. However, the decisions of self-interested operators may lead to suboptimal outcomes for users and the overall system.…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Mingjia He , Andrea Censi , Runyu Zhang , Emilio Frazzoli , Gioele Zardini

We introduce a framework for studying social dilemmas in networked societies where individuals follow a simple state-based behavioral mechanism based on generalized reciprocity, which is rooted in the principle "help anyone if helped by…

Populations and Evolution · Quantitative Biology 2019-03-01 Viktor Stojkoski , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

In this paper, we consider a mean field model of social behavior where there are an infinite number of players, each of whom observes a type privately that represents her preference, and publicly observes a mean field state of types and…

General Economics · Economics 2023-03-07 Deepanshu Vasal

Much research has been carried out to understand the emergence of cooperation in simulated social networks of competing individuals. Such research typically implements a population as a single connected network. Here we adopt a more…

Multiagent Systems · Computer Science 2016-05-10 Steve Miller , Joshua Knowles