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We investigate the repeated prisoner's dilemma game where both players alternately use reinforcement learning to obtain their optimal memory-one strategies. We theoretically solve the simultaneous Bellman optimality equations of…

计算机科学与博弈论 · 计算机科学 2021-06-02 Yuki Usui , Masahiko Ueda

We introduce a two-player model of reinforcement learning with memory. Past actions of an iterated game are stored in a memory and used to determine player's next action. To examine the behaviour of the model some approximate methods are…

统计力学 · 物理学 2009-11-13 Adam Lipowski , Krzysztof Gontarek , Marcel Ausloos

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

We develop a method based on computer algebra systems to represent the mutual pure strategy best-response dynamics of symmetric two-player, two-action repeated games played by players with a one-period memory. We apply this method to the…

动力系统 · 数学 2022-10-04 Janusz M Meylahn , Lars Janssen

Artificial intelligence and robotic competitions are accompanied by a class of game paradigms in which each player privately commits a strategy to a game system which simulates the game using the collected joint strategy and then returns…

计算机科学与博弈论 · 计算机科学 2022-04-28 Rui Yan , Weixian Zhang , Ruiliang Deng , Xiaoming Duan , Zongying Shi , Yisheng Zhong

We use replicator dynamics to study an iterated prisoners' dilemma game with memory. In this study, we investigate the characteristics of all 32 possible strategies with a single-step memory by observing the results when each strategy…

物理与社会 · 物理学 2014-03-06 Young Jin Kim , Myungkyoon Roh , Seung-Woo Son

We present tournament results and several powerful strategies for the Iterated Prisoner's Dilemma created using reinforcement learning techniques (evolutionary and particle swarm algorithms). These strategies are trained to perform well…

计算机科学与博弈论 · 计算机科学 2018-02-07 Marc Harper , Vincent Knight , Martin Jones , Georgios Koutsovoulos , Nikoleta E. Glynatsi , Owen Campbell

In this paper the results of a simulation of a prisoner's dilemma robin-round tournament are presented. In the tournament each participating strategy plays an iterated prisoner's dilemma against each other strategy (round-robin) and as a…

计算机科学与博弈论 · 计算机科学 2014-02-10 Tobias Kretz

Memory-one strategies are a set of Iterated Prisoner's Dilemma strategies that have been praised for their mathematical tractability and performance against single opponents. This manuscript investigates best response memory-one strategies…

计算机科学与博弈论 · 计算机科学 2020-09-30 Nikoleta E. Glynatsi , Vincent A. Knight

We consider a scenario in which two reinforcement learning agents repeatedly play a matrix game against each other and update their parameters after each round. The agents' decision-making is transparent to each other, which allows each…

人工智能 · 计算机科学 2021-08-23 Adrian Hutter

Stochastic games have become a prevalent framework for studying long-term multi-agent interactions, especially in the context of multi-agent reinforcement learning. In this work, we comprehensively investigate the concept of constant-memory…

计算机科学与博弈论 · 计算机科学 2025-10-16 Fengming Zhu , Fangzhen Lin

Evolutionary game theory assumes that players replicate a highly scored player's strategy through genetic inheritance. However, when learning occurs culturally, it is often difficult to recognize someone's strategy just by observing the…

种群与进化 · 定量生物学 2021-07-01 Minjae Kim , Jung-Kyoo Choi , Seung Ki Baek

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

We seek a route to the equilibrium where all the agents cooperate in the iterated prisoner's dilemma game on a two-dimensional plane, focusing on the role of tit-for-tat strategy. When a time horizon, within which a strategy can recall the…

种群与进化 · 定量生物学 2008-07-30 Seung Ki Baek , Beom Jun Kim

In this work, we develop a reinforcement learning protocol for a multiagent coordination task in a discrete state and action space: an iterated prisoner's dilemma game extended into a team based, winner-take all tournament, which forces the…

计算机科学与博弈论 · 计算机科学 2018-06-18 Aaron Goodman

The Prisoner's Dilemma is used as a model in processes involving reciprocity; however, its classical setup can be insufficient in settings where the symmetry of the simultaneous decision making is broken -- for example, in donor and…

动力系统 · 数学 2026-01-27 Nataliya A. Balabanova , Hong Duong , Christian Hilbe

Mutual relationships, such as cooperation and exploitation, are the basis of human and other biological societies. The foundations of these relationships are rooted in the decision making of individuals, and whether they choose to be…

最优化与控制 · 数学 2021-09-29 Yuma Fujimoto , Kunihiko Kaneko

Despite the considerable success enjoyed by machine learning techniques in practice, numerous studies demonstrated that many approaches are vulnerable to attacks. An important class of such attacks involves adversaries changing features at…

机器学习 · 计算机科学 2018-06-07 Liang Tong , Sixie Yu , Scott Alfeld , Yevgeniy Vorobeychik

Humans and other animals can adapt their social behavior in response to environmental cues including the feedback obtained through experience. Nevertheless, the effects of the experience-based learning of players in evolution and…

种群与进化 · 定量生物学 2011-04-05 Naoki Masuda , Mitsuhiro Nakamura

Recent studies in the spatial prisoner's dilemma games with reinforcement learning have shown that static agents can learn to cooperate through a diverse sort of mechanisms, including noise injection, different types of learning algorithms…

人工智能 · 计算机科学 2025-07-08 Gustavo C. Mangold , Heitor C. M. Fernandes , Mendeli H. Vainstein
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