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The Iterated Prisoner's Dilemma has guided research on social dilemmas for decades. However, it distinguishes between only two atomic actions: cooperate and defect. In real-world prisoner's dilemmas, these choices are temporally extended…

Artificial Intelligence · Computer Science 2018-03-02 Weixun Wang , Jianye Hao , Yixi Wang , Matthew Taylor

Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

Physics and Society · Physics 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

Introducing strategy complexity into the basic conflict of cooperation and defection is a natural response to avoid the tragedy of the common state. As an intermediate approach, quasi-cooperators were recently suggested to address the…

Physics and Society · Physics 2024-04-24 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

We have proposed two new evolutionary rules on spatio-iterated games that is not mimic evolution of strategies, and mainly discussed the Prisoner's Dilemma game \cite{toyota2} by the two evoutionary rules \cite{toyota3}. In this paper we…

Chaotic Dynamics · Physics 2007-05-23 Norihito Toyota

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

For the iterated Prisoner's Dilemma, there exist Markov strategies which solve the problem when we restrict attention to the long term average payoff. When used by both players these assure the cooperative payoff for each of them. Neither…

Dynamical Systems · Mathematics 2017-04-27 Ethan Akin

We have studied the impact of time-dependent learning capacities of players in the framework of spatial prisoner's dilemma game. In our model, this capacity of players may decrease or increase in time after strategy adoption according to a…

Physics and Society · Physics 2010-09-21 Attila Szolnoki , Zhen Wang , Jinlong Wang , Xiaodan Zhu

The effects of an additional strategy or character called loner in the snowdrift game are studied in a well-mixed population or fully-connected network and in a square lattice. The snowdrift game, which is a possible alternative to the…

Physics and Society · Physics 2007-05-23 Li-Xin Zhong , Da-Fang Zheng , B. Zheng , Chen Xu , P. M. Hui

We have studied a spatially extended snowdrift game, in which the players are located on the sites of two-dimensional square lattices and repeatedly have to choose one of the two strategies, either cooperation (C) or defection (D). A player…

Biological Physics · Physics 2009-11-10 Marko Sysi-Aho , Jari Saramaki , Janos Kertesz , Kimmo Kaski

The Prisoner's Dilemma is used as a model in processes involving reciprocity; however, its classical setup can be insufficient in settings where the symmetry of the simultaneous decision making is broken -- for example, in donor and…

Dynamical Systems · Mathematics 2026-01-27 Nataliya A. Balabanova , Hong Duong , Christian Hilbe

We study a model of a spatial evolutionary game, based on the Prisoner's dilemma for two regular arrangements of players, on a square lattice and on a triangular lattice. We analyze steady state distributions of players which evolve from…

Physics and Society · Physics 2020-01-08 Evgeni Burovski , Aleksandr Malyutin , Lev Shchur

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

We study the effect of contingent movement on the persistence of cooperation on complex networks with empty nodes. Each agent plays Prisoner's Dilemma game with its neighbors and then it either updates the strategy depending on the payoff…

Populations and Evolution · Quantitative Biology 2018-04-18 Genki Ichinose , Yoshiki Satotani , Takashi Nagatani

In recent years, agents have become capable of communicating seamlessly via natural language and navigating in environments that involve cooperation and competition, a fact that can introduce social dilemmas. Due to the interleaving of…

Artificial Intelligence · Computer Science 2025-01-28 Maayan Orner , Oleg Maksimov , Akiva Kleinerman , Charles Ortiz , Sarit Kraus

Strategic decision making involves affective and cognitive functions like reasoning, cognitive and emotional empathy which may be subject to age and gender differences. However, empathy-related changes in strategic decision-making and their…

Computer Science and Game Theory · Computer Science 2017-02-28 Giulia Rossi , Alain Tcheukam , Hamidou Tembine

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

We explore the minimal conditions for sustainable cooperation on a spatially distributed population of memoryless, unconditional strategies (cooperators and defectors) in presence of unbiased, non contingent mobility in the context of the…

Populations and Evolution · Quantitative Biology 2007-05-23 Mendeli H. Vainstein , Ana Tereza Costa Silva , Jeferson J. Arenzon

In this work, we analyse the relationship between heterogeneity and cooperation. Previous investigations suggest that this relation is nontrivial, as some authors found that heterogeneity sustains cooperation, while others obtained…

Physics and Society · Physics 2020-06-25 Marco A. Amaral , Marco A. Javarone

As autonomous agents become more prevalent, understanding their collective behaviour in strategic interactions is crucial. This study investigates the emergent cooperative tendencies of systems of Large Language Model (LLM) agents in a…

Multiagent Systems · Computer Science 2025-01-28 Richard Willis , Yali Du , Joel Z Leibo , Michael Luck

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang
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