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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 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

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

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

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

In iterated games, a player can unilaterally exert influence over the outcome through a careful choice of strategy. A powerful class of such "payoff control" strategies was discovered by Press and Dyson (2012). Their so-called…

计算机科学与博弈论 · 计算机科学 2022-07-07 Arjun Mirani , Alex McAvoy

Zero Determinant (ZD) strategies are a new class of probabilistic and conditional strategies that are able to unilaterally set the expected payoff of an opponent in iterated plays of the Prisoner's Dilemma irrespective of the opponent's…

种群与进化 · 定量生物学 2013-08-07 Christoph Adami , Arend Hintze

The advent of Zero-Determinant (ZD) strategies has reshaped the study of reciprocity and cooperation in the iterated Prisoner's Dilemma games. The ramification of ZD strategies has been demonstrated through their ability to unilaterally…

物理与社会 · 物理学 2022-08-05 Xingru Chen , Long Wang , Feng Fu

Recent theory shows that extortioners taking advantage of the zero-determinant (ZD) strategy can unilaterally claim an unfair share of the payoffs in the Iterated Prisoner's Dilemma. It is thus suggested that against a fixed extortioner,…

物理与社会 · 物理学 2022-01-13 Xingru Chen , Feng Fu

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

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

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

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

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

Since Press and Dyson's ingenious discovery of ZD (zero-determinant) strategy in the repeated Prisoner's Dilemma game, several studies have confirmed the existence of ZD strategy in repeated multiplayer social dilemmas. However, few…

种群与进化 · 定量生物学 2021-09-15 Fang Chen , Te Wu , Long Wang

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 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

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

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

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
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