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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…

Computer Science and Game Theory · Computer Science 2020-04-30 Alain Govaert , Ming Cao

Enforcing cooperation among substantial agents is one of the main objectives for multi-agent systems. However, due to the existence of inherent social dilemmas in many scenarios, the free-rider problem may arise during agents' long-run…

Computer Science and Game Theory · Computer Science 2018-11-16 Kai Li , Dong Hao

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…

Populations and Evolution · Quantitative Biology 2017-11-27 Genki Ichinose , Naoki Masuda

Understanding the conditions for maintaining cooperation in groups of unrelated individuals despite the presence of non-cooperative members is a major research topic in contemporary biological, sociological, and economic theory. The…

Populations and Evolution · Quantitative Biology 2024-04-09 José F. Fontanari , Mauro Santos

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…

Populations and Evolution · Quantitative Biology 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin

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…

Physics and Society · Physics 2026-03-23 Ken Nakamura , 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…

Populations and Evolution · Quantitative Biology 2014-11-05 Christian Hilbe , Arne Traulsen , Bin Wu , Martin A. Nowak

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,…

Populations and Evolution · Quantitative Biology 2016-04-12 Alex McAvoy , Christoph Hauert

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…

Populations and Evolution · Quantitative Biology 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

Long-term cooperation, competition, or exploitation among individuals can be modeled through repeated games. In repeated games, Press and Dyson discovered zero-determinant (ZD) strategies that enforce a special relationship between two…

Computer Science and Game Theory · Computer Science 2022-07-18 Daiki Miyagawa , Azumi Mamiya , Genki Ichinose

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

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…

Computer Science and Game Theory · Computer Science 2015-06-11 Dong Hao , Zhihai Rong , Tao Zhou

Objective: The study investigates the effect on cooperation in multiplayer games, when the population from which all individuals are drawn is structured - i.e. when a given individual is only competing with a small subset of the entire…

Computer Science and Game Theory · Computer Science 2016-02-08 Kaare B. Mikkelsen , Lars A. Bach

It is well known that in contrast to the Prisoner's Dilemma, the snowdrift game can lead to a stable coexistence of cooperators and cheaters. Recent theoretical evidence on the snowdrift game suggests that gradual evolution for individuals…

Physics and Society · Physics 2015-05-19 Tatsuya Sasaki , Isamu Okada

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,…

Physics and Society · Physics 2022-01-13 Xingru Chen , Feng Fu

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…

Populations and Evolution · Quantitative Biology 2019-06-20 Azumi Mamiya , Genki Ichinose

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…

Populations and Evolution · Quantitative Biology 2021-09-15 Fang Chen , Te Wu , Long Wang

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…

Computer Science and Game Theory · Computer Science 2024-11-08 Jin-Li Guo

Inspired by the fact that people have diverse propensities to punish wrongdoers, we study a spatial public goods game with defectors and different types of punishing cooperators. During the game, cooperators punish defectors with…

Physics and Society · Physics 2015-08-14 Xiaojie Chen , Attila Szolnoki , Matjaz Perc

Pro-social punishment and exclusion are common means to elevate the level of cooperation among unrelated individuals. Indeed, it is worth pointing out that the combined use of these two strategies is quite common across human societies.…

Physics and Society · Physics 2018-12-27 Linjie Liu , Shengxian Wang , Xiaojie Chen , Matjaz Perc
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