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The commonly used accumulated payoff scheme is not invariant with respect to shifts of payoff values when applied locally in degree-inhomogeneous population structures. We propose a suitably modified payoff scheme and we show both formally…

Physics and Society · Physics 2010-11-24 Leslie Luthi , Marco Tomassini , Enea Pestelacci

Whether or not to change strategy depends not only on the personal success of each individual, but also on the success of others. Using this as motivation, we study the evolution of cooperation in games that describe social dilemmas, where…

Physics and Society · Physics 2012-08-21 Attila Szolnoki , Zhen Wang , Matjaz Perc

An evolutionary prisoner's dilemma (PD) game is studied with players located on a hierarchical structure of layered square lattices. The players can follow two strategies [D (defector) and C (cooperator)] and their income comes from PD…

Statistical Mechanics · Physics 2009-11-10 Jeromos Vukov , Gyorgy Szabo

This study investigates the effect of behavioral mistakes on the evolutionary stability of the cooperative equilibrium in a repeated public goods game. Many studies show that behavioral mistakes have detrimental effects on cooperation…

Theoretical Economics · Economics 2021-07-01 Jung-Kyoo Choi , Jun Sok Huhh

Game theory deals with strategic interactions among players and evolutionary game dynamics tracks the fate of the players' populations under selection. In this paper, we consider the replicator equation for two-player-two-strategy games…

Adaptation and Self-Organizing Systems · Physics 2021-02-22 Sourabh Mittal , Archan Mukhopadhyay , Sagar Chakraborty

Finding ways to overcome the temptation to exploit one another is still a challenge in behavioural sciences. In the framework of evolutionary game theory, punishing strategies are frequently used to promote cooperation in competitive…

Populations and Evolution · Quantitative Biology 2022-07-06 Lucas S. Flores , Heitor C. M. Fernandes , Marco A. Amaral , Mendeli H. Vainstein

In a social dilemma game group members are allowed to decide if they contribute to the joint venture or not. As a consequence, defectors, who do not invest but only enjoy the mutual benefit, prevail and the system evolves onto the tragedy…

Physics and Society · Physics 2016-10-06 Xiaojie Chen , Attila Szolnoki

We consider models of financial markets in which all parties involved find incentives to participate. Strategies are evaluated directly by their virtual wealths. By tuning the price sensitivity and market impact, a phase diagram with…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 C. H. Yeung , K. Y. Michael Wong , Y. -C. Zhang

In recent years, there has been growing interest in studying evolutionary games with environmental feedback. Previous studies exclusively focus on two-player games. However, extension to multi-player game is needed to study problems such as…

Physics and Society · Physics 2019-07-24 Yanxuan Shao , Xin Wang , Feng Fu

Cooperation often depends on individuals avoiding exploitation and interacting preferentially with other cooperators. We explore how context-dependent migration influences the evolution of cooperation in spatially structured populations.…

Populations and Evolution · Quantitative Biology 2025-09-03 Dhaker Kroumi

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus…

General Finance · Quantitative Finance 2017-05-03 M. L. Bertotti , G. Modanese

Dynamics of a social population is analyzed taking into account some physical constraints on individual behavior and decision making abilities. The model, based on Evolutionary Game Theory, predicts that a population has to pass through a…

Populations and Evolution · Quantitative Biology 2007-05-23 Alex Feigel

Commonly, the strategy revision phase in evolutionary games relies on payoff comparison. Namely, agents compare their payoff with the opponent, assessing whether changing strategy can be potentially convenient. Even tiny payoff differences…

Physics and Society · Physics 2023-10-24 Marco Alberto Javarone , Shaurya Pratap Singh

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

This paper characterizes how different incentive instruments shape cooperation in a repeated Prisoner`s Dilemma with a continuum of players. A simple tit-for-tat strategy competes against unconditional defection, and the long-run outcome is…

Theoretical Economics · Economics 2025-11-14 Alexander Kangas

This study investigates an adaptive pricing scheme aimed at achieving an efficient state in a traffic congestion game characterized by a diverse population of road users. While the planner possesses knowledge of players' preferences, their…

Theoretical Economics · Economics 2025-12-22 Shota Fujishima

Cooperation underlies many natural and artificial systems. While voluntary participation can sustain cooperation without informational assumptions, real interactions are rarely anonymous, leaving the joint effects of participation and…

Physics and Society · Physics 2026-01-27 Chen Shen , Zhao Song , Xinyu Wang , Lei Shi , Matjaž Perc , Zhen Wang , Jun Tanimoto

While E-commerce has been growing explosively and online shopping has become popular and even dominant in the present era, online transaction fraud control has drawn considerable attention in business practice and academic research.…

Artificial Intelligence · Computer Science 2019-07-30 Junxuan Li , Yung-wen Liu , Yuting Jia , Jay Nanduri

Understanding the emergence and stability of cooperation in public goods games is important due to its applications in fields such as biology, economics, and social science. However, a gap remains in comprehending how mutations, both…

Dynamical Systems · Mathematics 2025-04-09 Nataliya A. Balabanova , Manh Hong Duong , The Anh Han

The development of cooperative relations within and between firms plays an important role in the successful implementation of business strategy. How to produce such relations is less well understood. We build on work in relational contract…

Computer Science and Game Theory · Computer Science 2012-03-07 Dan Ladley , Ian Wilkinson , Louise Young