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We analyze an extended model of the Iterated Prisoner's Dilemma where agents decide to play based on the data from their limited memory or recommendations. The cooperators can decide whether to play with the matched opponent or not. The…

Computer Science and Game Theory · Computer Science 2022-09-15 Orhun Gorkem , Haluk O. Bingol

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

The Prisoner's Dilemma is used to represent many real life phenomena whether from the civilized world of humans or from the wild life of the other living. Researchers working on iterated prisoner's dilemma (IPD) with limited memory…

Computer Science and Game Theory · Computer Science 2025-05-28 Meliksah Turker , Haluk O. Bingol

We study preference learning through recommendations in multi-agent game settings, where a moderator repeatedly interacts with agents whose utility functions are unknown. In each round, the moderator issues action recommendations and…

Computer Science and Game Theory · Computer Science 2026-03-06 Arwa Alanqary , Zakaria Baba , Manxi Wu , Alexandre M. Bayen

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…

Computer Science and Game Theory · Computer Science 2020-09-30 Nikoleta E. Glynatsi , Vincent A. Knight

How attention scarcity effects the outcomes of a game? We present our findings on a version of the Iterated Prisoners Dilemma (IPD) game in which players can accept or refuse to play with their partner. We study the memory size effect on…

Computer Science and Game Theory · Computer Science 2014-11-25 Uzay Çetin , Haluk O. Bingol

We study the effect of imperfect memory on decision making in the context of a stochastic sequential action-reward problem. An agent chooses a sequence of actions which generate discrete rewards at different rates. She is allowed to make…

Probability · Mathematics 2019-09-20 Kuang Xu , Se-Young Yun

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…

Computer Science and Game Theory · Computer Science 2014-02-10 Tobias Kretz

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…

Statistical Mechanics · Physics 2009-11-13 Adam Lipowski , Krzysztof Gontarek , Marcel Ausloos

The field of Game Theory provides a useful mechanism for modeling many decision-making scenarios. In participating in these scenarios individuals and groups adopt particular strategies, which generally perform with varying levels of…

Multiagent Systems · Computer Science 2018-07-24 Francis Lawlor , Rem Collier , Vivek Nallur

We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a critical memory length, and as a result, different memory lengths…

Adaptation and Self-Organizing Systems · Physics 2015-05-12 James Burridge , Yu Gao , Yong Mao

So far, the theory of equilibrium selection in the infinitely repeated prisoner's dilemma is insensitive to communication possibilities. To address this issue, we incorporate the assumption that communication reduces -- but does not…

Theoretical Economics · Economics 2023-04-25 Maximilian Andres

As an important psychological and social experiment, the Iterated Prisoner's Dilemma (IPD) treats the choice to cooperate or defect as an atomic action. We propose to study the behaviors of online learning algorithms in the Iterated…

Computer Science and Game Theory · Computer Science 2022-08-30 Baihan Lin , Djallel Bouneffouf , Guillermo Cecchi

Repeated games are difficult to analyze, especially when agents play mixed strategies. We study one-memory strategies in iterated prisoner's dilemma, then generalize the result to k-memory strategies in repeated games. Our result shows that…

Computer Science and Game Theory · Computer Science 2019-02-26 Shiheng Wang , Fangzhen Lin

This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

Computer Science and Game Theory · Computer Science 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

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…

Dynamical Systems · Mathematics 2026-01-27 Nataliya A. Balabanova , Hong Duong , Christian Hilbe

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

Theoretical Economics · Economics 2020-06-30 Yuval Heller , Erik Mohlin

A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

Condensed Matter · Physics 2009-11-10 H. Fort

If we could define the set of all bad outcomes, we could hard-code an agent which avoids them; however, in sufficiently complex environments, this is infeasible. We do not know of any general-purpose approaches in the literature to avoiding…

Artificial Intelligence · Computer Science 2020-06-17 Michael K. Cohen , Marcus Hutter

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…

Computer Science and Game Theory · Computer Science 2021-06-02 Yuki Usui , Masahiko Ueda
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