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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

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

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 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

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 (ZD) strategies, a recently found novel class of strategies in repeated games, has attracted much attention in evolutionary game theory. A ZD strategy unilaterally enforces a linear relation between average payoffs of…

计算机科学与博弈论 · 计算机科学 2020-04-08 Masahiko Ueda , Toshiyuki Tanaka

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

In two-player repeated games, Zero-Determinant (ZD) strategies enable a player to unilaterally enforce a linear payoff relation between her own and her opponent's payoff irrespective of the opponent's strategy. This manipulative nature of…

计算机科学与博弈论 · 计算机科学 2020-04-30 Alain Govaert , Ming Cao

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

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 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 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

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 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

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

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

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

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

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

Repeated game theory has been one of the most prevailing tools for understanding the long-run relationships, which are footstones in building human society. Recent works have revealed a new set of "zero-determinant (ZD)" strategies, which…

计算机科学与博弈论 · 计算机科学 2015-06-11 Dong Hao , Zhihai Rong , Tao Zhou
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