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The evolutionary mechanisms of cooperative behavior represent a fundamental topic in complex systems and evolutionary dynamics. Real-world collective interactions, particularly in multi-agent systems, are often characterized by…

Adaptation and Self-Organizing Systems · Physics 2026-02-23 Yishen Jiang , Xin Wang , Wenqiang Zhu , Ming Wei , Longzhao Liu , Shaoting Tang , Hongwei Zheng

Understanding how cooperation emerges in public goods games is crucial for addressing societal challenges. While optional participation can establish cooperation without identifying cooperators, it relies on specific assumptions -- that…

Besides the structure of interactions within networks, also the interactions between networks are of the outmost importance. We therefore study the outcome of the public goods game on two interdependent networks that are connected by means…

Physics and Society · Physics 2013-08-13 Zhen Wang , Attila Szolnoki , Matjaz Perc

Public goods games study the incentives of individuals to contribute to a public good and their behaviors in equilibria. In this paper, we examine a specific type of public goods game where players are networked and each has binary actions,…

Computer Science and Game Theory · Computer Science 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

We consider the provision of public goods on networks of strategic agents. We study different effort outcomes of these network games, namely, the Nash equilibria, Pareto efficient effort profiles, and semi-cooperative equilibria (effort…

Computer Science and Game Theory · Computer Science 2016-05-20 Parinaz Naghizadeh , Mingyan Liu

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

General Economics · Economics 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

Understanding and resolving cooperation dilemmas are key challenges in evolutionary game theory, which have revealed several mechanisms to address them. This paper investigates the comprehensive influence of multiple reputation-related…

Physics and Society · Physics 2025-04-10 Kai Xie , Attila Szolnoki

The emergence of cooperation figures among the main goal of game theory in competitive-cooperative environments. Potential games have long been hinted as viable alternatives to study realistic player behavior. Here, we expand the potential…

Computer Science and Game Theory · Computer Science 2018-10-12 G. M. Nakamura , G. S. Contesini , A. S. Martinez

In a large population, the agents temporally form group of the Public Goods Game (PGG) one after another, and size of one group is randomly distributed at $g\in [g_l,g_h]$. Players in it have two strategies to be chosen to cooperate, or to…

Physics and Society · Physics 2024-04-18 Hong-Bin Zhang , Deng-Ping Tang

We consider a large class of social learning models in which a group of agents face uncertainty regarding a state of the world, share the same utility function, observe private signals, and interact in a general dynamic setting. We…

Statistics Theory · Mathematics 2020-05-14 Elchanan Mossel , Manuel Mueller-Frank , Allan Sly , Omer Tamuz

We study a general task allocation problem, involving multiple agents that collaboratively accomplish tasks and where agents may fail to successfully complete the tasks assigned to them (known as execution uncertainty). The goal is to…

Artificial Intelligence · Computer Science 2015-09-18 Dengji Zhao , Sarvapali D. Ramchurn , Nicholas R. Jennings

A cooperative player invests effort into a common venture without knowing the partner's intention in advance. But this strategy can be implemented in various ways when a player is involved in different games simultaneously. Interestingly,…

Physics and Society · Physics 2021-07-14 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

The Matthew effect describes the phenomenon where the rich tend to get richer. Such a success-driven mechanism has been studied in spatial public goods games in an inter-group way, where each individual's social power is enhanced across all…

Physics and Society · Physics 2023-10-24 Chaoqian Wang

In this note, we prove the existence of an equilibrium concept, dubbed conditional strategy equilibrium, for non-cooperative games in which a strategy of a player is a function from the other players' actions to her own actions. We study…

Theoretical Economics · Economics 2022-05-09 Lorenzo Bastianello , Mehmet S. Ismail

This paper relaxes the common prior assumption in the public and private information game of Morris and Shin (2000, 2004). For the generalized game, where the agent's prior expectations are heterogenous, it derives a sharp condition for the…

Trading and Market Microstructure · Quantitative Finance 2013-12-31 Wolfgang Kuhle

We consider an environment where players are involved in a public goods game and must decide repeatedly whether to make an individual contribution or not. However, players lack strategically relevant information about the game and about the…

Physics and Society · Physics 2015-01-27 Heinrich H. Nax , Matjaz Perc

This paper investigates the evolution of strategic play where players drawn from a finite well-mixed population are offered the opportunity to play in a public goods game. All players accept the offer. However, due to the possibility of…

Populations and Evolution · Quantitative Biology 2017-09-14 Alexander G. Ginsberg , Feng Fu

Understanding the evolution of cooperation in multiplayer games is of vital significance for natural and social systems. An important challenge is that group interactions often leads to nonlinear synergistic effects. However, previous…

Physics and Society · Physics 2025-05-13 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Longzhao Liu , Jiaxin Hu , Zhiming Zheng , Shaoting Tang , Hongwei Zheng , Jin Dong

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

An individually costly act that benefits all group members is a public good. Natural selection favors individual contribution to public goods only when some benefit to the individual offsets the cost of contribution. Problems of sex ratio,…

Populations and Evolution · Quantitative Biology 2011-12-16 Steven A. Frank