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This paper studies the mechanisms, implications, and potential applications of the recently discovered class of Zero Determinant (ZD) strategies in iterated 2x2 games. These strategies were reported to successfully extort pure economic…

计算机科学与博弈论 · 计算机科学 2013-08-13 Lars Roemheld

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

Evolutionary game theory provides a mathematical foundation for cross-disciplinary fertilization, especially for integrating ideas from artificial intelligence and game theory. Such integration offers a transparent and rigorous approach to…

物理与社会 · 物理学 2023-05-31 Xingru Chen , Feng Fu

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

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

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

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

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

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

This paper focuses on the performance of equalizer zero-determinant (ZD) strategies in discounted repeated Stackerberg asymmetric games. In the leader-follower adversarial scenario, the strong Stackelberg equilibrium (SSE) deriving from the…

计算机科学与博弈论 · 计算机科学 2024-02-28 Zhaoyang Cheng , Guanpu Chen , Yiguang Hong

Evolutionary game dynamics on networks typically consider the competition among simple strategies such as cooperation and defection in the Prisoner's Dilemma and summarize the effect of population structure as network reciprocity. However,…

物理与社会 · 物理学 2024-05-31 Zijie Chen , Yuxin Geng , Xingru Chen , Feng Fu

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

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

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

An active line of research has considered games played on networks in which payoffs depend on both a player's individual decision and also the decisions of her neighbors. Such games have been used to model issues including the formation of…

计算机科学与博弈论 · 计算机科学 2013-05-01 Flavio Chierichetti , Jon Kleinberg , Sigal Oren

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

An oligopoly is a market in which the price of goods is controlled by a few firms. Cournot introduced the simplest game-theoretic model of oligopoly, where profit-maximizing behavior of each firm results in market failure. Furthermore, when…

物理与社会 · 物理学 2025-12-09 Masahiko Ueda , Shoma Yagi , Genki Ichinose

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

Economic ensembles can be modeled as networks of interacting agents whose be-haviors are described in terms of game theory. The evolutionary paradigm has been applied to two-person games to discover strategies in this context.…

凝聚态物理 · 物理学 2007-05-23 Wan Ahmad Tajuddin Wan Abdullah