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Direct reciprocity and conditional cooperation are important mechanisms to prevent free riding in social dilemmas. But in large groups these mechanisms may become ineffective, because they require single individuals to have a substantial…

种群与进化 · 定量生物学 2014-11-05 Christian Hilbe , Arne Traulsen , Bin Wu , Martin A. Nowak

Recently, Press and Dyson have proposed a new class of probabilistic and conditional strategies for the two-player iterated Prisoner's Dilemma, so-called zero-determinant strategies. A player adopting zero-determinant strategies is able to…

计算机科学与博弈论 · 计算机科学 2014-02-17 Liming Pan , Dong Hao , Zhihai Rong , Tao Zhou

Social dilemmas exist in various fields and give rise to the so-called free-riding problem, leading to collective fiascos. The difficulty of tracking individual behaviors makes egoistic incentives in large-scale systems a challenging task.…

计算机科学与博弈论 · 计算机科学 2020-01-09 Shengling Wang , Peizi Ma , Qin Hu , Xiuzhen Cheng , Weifeng Lv

Repeated games have a long tradition in the behavioral sciences and evolutionary biology. Recently, strategies were discovered that permit an unprecedented level of control over repeated interactions by enabling a player to unilaterally…

种群与进化 · 定量生物学 2016-10-25 Alex McAvoy , Christoph Hauert

Commitments play a crucial role in game theory, shaping strategic interactions by either altering a player's own payoffs or influencing the incentives of others through outcome-contingent payments. While most research has focused on using…

计算机科学与博弈论 · 计算机科学 2025-07-30 Maria Alejandra Ramirez , Rosemarie Nagel , David Wolpert , Jürgen Jost

Repeated games have provided an explanation how mutual cooperation can be achieved even if defection is more favorable in a one-shot game in prisoner's dilemma situation. Recently found zero-determinant strategies have substantially been…

计算机科学与博弈论 · 计算机科学 2021-05-27 Masahiko Ueda

Repeated games are useful models to analyze long term interactions of living species and complex social phenomena. Zero-determinant (ZD) strategies in repeated games discovered by Press and Dyson in 2012 enforce a linear payoff relationship…

种群与进化 · 定量生物学 2021-06-29 Azumi Mamiya , Daiki Miyagawa , Genki Ichinose

The Prisoner's Dilemma game has a long history stretching across the social, biological, and physical sciences. In 2012, Press and Dyson developed a method for analyzing the mapping of the 8-dimensional strategy profile onto the…

物理与社会 · 物理学 2019-11-28 Robert D. Young

A formula is presented for designing zero-determinant(ZD) strategies of general finite games, which have $n$ players and players can have different numbers of strategies. To this end, using semi-tensor product (STP) of matrices, the profile…

计算机科学与博弈论 · 计算机科学 2021-07-08 Daizhan Cheng

We explore some strategies which tend to perform well in the IPD. We start off by showing the significance of Tit-For-Tat strategies in evolutionary game theory. This is followed by a theoretical derivation of zero-determinant strategies,…

计算机科学与博弈论 · 计算机科学 2021-11-30 Anagh Malik

The recent discovery of zero-determinant strategies for the iterated Prisoner's Dilemma sparked a surge of interest in the surprising fact that a player can exert unilateral control over iterated interactions. These remarkable strategies,…

种群与进化 · 定量生物学 2016-04-12 Alex McAvoy , Christoph Hauert

We introduce the concept of deformed zero-determinant strategies in repeated games. We then show that the Tit-for-Tat strategy in the repeated prisoner's dilemma game is a deformed zero-determinant strategy, which unilaterally equalizes the…

组合数学 · 数学 2021-01-28 Masahiko Ueda

Situations in which immediate self-interest and long-term collective interest conflict often require some form of influence to prevent them from leading to undesirable or unsustainable outcomes. Next to sanctioning, social influence and…

多智能体系统 · 计算机科学 2021-04-22 Kathinka Frieswijk , Alain Govaert , Ming Cao

Self-serving, rational agents sometimes cooperate to their mutual benefit. The two-player iterated prisoner's dilemma game is a model for including the emergence of cooperation. It is generally believed that there is no simple ultimatum…

计算机科学与博弈论 · 计算机科学 2024-11-08 Jin-Li Guo

Evolutionary game theory is a powerful mathematical framework to study how intelligent individuals adjust their strategies in collective interactions. It has been widely believed that it is impossible to unilaterally control players'…

最优化与控制 · 数学 2021-08-31 Renfei Tan , Qi Su , Bin Wu , Long Wang

Zero-determinant strategies are a class of strategies in repeated games which unilaterally control payoffs. Zero-determinant strategies have attracted much attention in studies of social dilemma, particularly in the context of evolution of…

统计力学 · 物理学 2024-11-11 Masahiko Ueda

Experiments on the ultimatum game have revealed that humans are remarkably fond of fair play. When asked to share an amount of money, unfair offers are rare and their acceptance rate small. While empathy and spatiality may lead to the…

物理与社会 · 物理学 2012-08-20 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

The theory of repeated games analyzes the long-term relationship of interacting players and mathematically reveals the condition of how cooperation is achieved, which is not achieved in a one-shot game. In the repeated prisoner's dilemma…

种群与进化 · 定量生物学 2019-06-20 Azumi Mamiya , Genki Ichinose

Zero-determinant strategies are memory-one strategies in repeated games which unilaterally enforce linear relations between expected payoffs of players. Recently, the concept of zero-determinant strategies was extended to the class of…

最优化与控制 · 数学 2022-09-07 Masahiko Ueda

We study the evolution of cooperation in spatial Prisoner's dilemma games with and without extortion by adopting aspiration-driven strategy updating rule. We focus explicitly on how the strategy updating manner (whether synchronous or…

物理与社会 · 物理学 2014-12-10 Zhi-Xi Wu , Zhihai Rong