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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

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

Direct reciprocity is a mechanism for sustaining mutual cooperation in repeated social dilemma games, where a player would keep cooperation to avoid being retaliated by a co-player in the future. So-called zero-determinant (ZD) strategies…

种群与进化 · 定量生物学 2017-11-27 Genki Ichinose , Naoki Masuda

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

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

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

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

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

In a single-state repeated game, zero-determinant strategies can unilaterally force functions of the payoffs to take values in particular closed intervals. When the explicit use of a determinant is absent from the analysis, they are instead…

计算机科学与博弈论 · 计算机科学 2021-01-01 Mario Palasciano

Originating in evolutionary game theory, the class of "zero-determinant" strategies enables a player to unilaterally enforce linear payoff relationships in simple repeated games. An upshot of this kind of payoff constraint is that it can…

理论经济学 · 经济学 2025-11-26 Nikos Dimou , Alex McAvoy

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

Mixed extension has played an important role in game theory, especially in the proof of the existence of Nash equilibria in strategic form games. Mixed extension can be regarded as continuous relaxation of a strategic form game. Recently,…

物理与社会 · 物理学 2025-05-05 Masahiko Ueda , Ayaka Fujita

Zero-determinant strategies are a class of memory-one strategies in repeated games which unilaterally enforce linear relationships between payoffs. It has long been unclear for what stage games zero-determinant strategies exist. We provide…

物理与社会 · 物理学 2022-07-12 Masahiko Ueda

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

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

种群与进化 · 定量生物学 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

Repeated games are a framework for investigating long-term interdependence of multi-agent systems. In repeated games, zero-determinant (ZD) strategies attract much attention in evolutionary game theory, since they can unilaterally control…

物理与社会 · 物理学 2026-03-23 Ken Nakamura , Masahiko Ueda

Repeated game has long been the touchstone model for agents' long-run relationships. Previous results suggest that it is particularly difficult for a repeated game player to exert an autocratic control on the payoffs since they are jointly…

计算机科学与博弈论 · 计算机科学 2018-07-19 Dong Hao , Kai Li , Tao Zhou

Controlling payoffs in repeated games is one of the important topics in control theory of multi-agent systems. Recently proposed zero-determinant strategies enable players to unilaterally enforce linear relations between payoffs.…

物理与社会 · 物理学 2025-11-18 Masahiko Ueda

Recent work has revealed a new class of "zero-determinant" (ZD) strategies for iterated, two-player games. ZD strategies allow a player to unilaterally enforce a linear relationship between her score and her opponent's score, and thus…

种群与进化 · 定量生物学 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin
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