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Cooperation lies at the foundations of human societies, yet why people cooperate remains a conundrum. The issue, known as network reciprocity, of whether population structure can foster cooperative behavior in social dilemmas has been…

Physics and Society · Physics 2016-09-23 Giulio Cimini , Angel Sánchez

We study the evolutionary dynamics of the prisoner's dilemma game in which cooperators and defectors interact with another actor type called exiters. Rather than being exploited by defectors, exiters exit the game in favour of a small…

Populations and Evolution · Quantitative Biology 2021-01-20 Chen Shen , Marko Jusup , Lei Shi , Zhen Wang , Matjaz Perc , Petter Holme

The Internet has enabled the emergence of collective problem solving, also known as crowdsourcing, as a viable option for solving complex tasks. However, the openness of crowdsourcing presents a challenge because solutions obtained by it…

Computer Science and Game Theory · Computer Science 2014-01-20 Koji Oishi , Manuel Cebrian , Andres Abeliuk , Naoki Masuda

This study examines the application of adversarial attack concepts to control the evolution of cooperation in the prisoner's dilemma game in complex networks. Specifically, it proposes a simple adversarial attack method that drives players'…

Physics and Society · Physics 2024-11-13 Kazuhiro Takemoto

In dynamic noncooperative games, each player makes conjectures about other players' reactions before choosing a strategy. However, resulting equilibria may be multiple and do not always lead to desirable outcomes. These issues are typically…

Computer Science and Game Theory · Computer Science 2025-11-24 Francesco Morri , Hélène Le Cadre , David Salas , Didier Aussel

Machine learning systems have been widely used to make decisions about individuals who may behave strategically to receive favorable outcomes, e.g., they may genuinely improve the true labels or manipulate observable features directly to…

Artificial Intelligence · Computer Science 2024-10-30 Tian Xie , Zhiqun Zuo , Mohammad Mahdi Khalili , Xueru Zhang

The finitely repeated Prisoners' Dilemma is a good illustration of the discrepancy between the strategic behaviour suggested by a game-theoretic analysis and the behaviour often observed among human players, where cooperation is maintained…

Populations and Evolution · Quantitative Biology 2013-01-10 Kristian Lindgren , Vilhelm Verendel

We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agent updates its real-valued opinion about each available…

Physics and Society · Physics 2021-11-24 Shinkyu Park , Anastasia Bizyaeva , Mari Kawakatsu , Alessio Franci , Naomi Ehrich Leonard

Networks determine our social circles and the way we cooperate with others. We know that topological features like hubs and degree assortativity affect cooperation, and we know that cooperation is favoured if the benefit of the altruistic…

Physics and Society · Physics 2021-10-04 A. Zhuk , I. Sendiña-Nadal , I. Leyva , D. Musatov , A. M. Raigorodskii , M. Perc , S. Boccaletti

Language models are increasingly deployed in interactive online environments, from personal chat assistants to domain-specific agents, raising questions about their cooperative and competitive behavior in multi-party settings. While prior…

Artificial Intelligence · Computer Science 2025-09-08 Mukul Singh , Arjun Radhakrishna , Sumit Gulwani

Cooperation plays a crucial role in both nature and human society, and the conundrum of cooperation attracts the attention from interdisciplinary research. In this study, we investigated the evolution of cooperation in optional prisoner's…

Physics and Society · Physics 2024-02-02 Gopal Sharma , Hao Guo , Chen Shen , Jun Tanimoto

To achieve common goals, we often use joint commitments. Our commitment helps us to coordinate with our partners and assures them that their cooperative efforts will benefit themselves. However, if one of us can exploit the other's…

Computer Science and Game Theory · Computer Science 2025-02-20 Marcus Krellner , The Anh Han

Repeated interaction promotes cooperation among rational individuals under the shadow of future, but it is hard to maintain cooperation when a large number of error-prone individuals are involved. One way to construct a cooperative Nash…

Physics and Society · Physics 2021-01-25 Yohsuke Murase , Seung Ki Baek

The critical mass effect is a prevailing topic in the study of complex systems. Recent research has shown that a minority of zealots can effectively drive widespread cooperation in social dilemma games. However, achieving a critical mass of…

Physics and Society · Physics 2024-02-02 Zhixue He , Chen Shen , Lei Shi , Jun Tanimoto

The 2 x 2 games, in particular the Prisoner's Dilemma, have been extensively used in studies into reciprocal cooperation and, to a lesser extent, kin selection. This paper examines the suitability of the 2 x 2 games for modelling the…

Computer Science and Game Theory · Computer Science 2007-05-23 James A. R. Marshall

The prisoner's dilemma game is the most known contribution of game theory into social sciences. Here we describe new implications of this game for transactional and transformative leadership. While the autocratic (Stackelberg's) leadership…

Physics and Society · Physics 2019-10-22 S. G. Babajanyan , A. V. Melkikh , A. E. Allahverdyan

Inspired by the fact that people have diverse propensities to punish wrongdoers, we study a spatial public goods game with defectors and different types of punishing cooperators. During the game, cooperators punish defectors with…

Physics and Society · Physics 2015-08-14 Xiaojie Chen , Attila Szolnoki , Matjaz Perc

Costly punishment has been suggested as a key mechanism for stabilizing cooperation in one-shot games. However, recent studies have revealed that the effectiveness of costly punishment can be diminished by second-order free riders (i.e.,…

Physics and Society · Physics 2024-03-19 Chen Shen , Zhixue He , Lei Shi , Zhen Wang , Jun Tanimoto

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

Physics and Society · Physics 2018-02-23 Attila Szolnoki , Xiaojie Chen

The Prisoner's Dilemma (PD) deals with the cooperation/defection conflict between two agents. The agents are represented by a cell of $L \times L$ square lattice. The agents are initially randomly distributed according to a certain…

Statistical Mechanics · Physics 2007-05-23 Ricardo Oliveira dos Santos Soares , Alexandre Souto Martinez