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This paper explores the use of Generative Pre-trained Transformers (GPT) in strategic game experiments, specifically the ultimatum game and the prisoner's dilemma. I designed prompts and architectures to enable GPT to understand the game…

General Economics · Economics 2023-12-12 Fulin Guo

We analyze, both analytically and numerically, the self-organization of a system of "selfish" adaptive agents playing an arbitrary iterated pairwise game (defined by a 2X2 payoff matrix). Examples of possible games to play are: the…

Physics and Society · Physics 2009-11-10 H. Fort , S. Viola

We have proposed two new evolutionary rules on spatio-iterated games that is not mimic evolution of strategies, and mainly discussed the Prisoner's Dilemma game \cite{toyota2} by the two evoutionary rules \cite{toyota3}. In this paper we…

Chaotic Dynamics · Physics 2007-05-23 Norihito Toyota

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

Over the years, numerous experiments have been accumulated to show that cooperation is not casual and depends on the payoffs of the game. These findings suggest that humans have attitude to cooperation by nature and the same person may act…

Computer Science and Game Theory · Computer Science 2013-09-11 Valerio Capraro

The prisoner's dilemma describes a conflict between a pair of players, in which defection is a dominant strategy whereas cooperation is collectively optimal. The iterated version of the dilemma has been extensively studied to understand the…

Populations and Evolution · Quantitative Biology 2017-10-02 Seung Ki Baek , Su Do Yi , Hyeong-Chai Jeong

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

Game theory provides a framework for studying communication dynamics and emergent phenomena arising from rational agent interactions. We present a model framework for the Volunteer's Dilemma with four key contributions: (1) formulating it…

Multiagent Systems · Computer Science 2025-09-24 Jacob Dineen , A S M Ahsan-Ul Haque , Matthew Bielskas

The self-organization in cooperative regimes in a simple mean-field version of a model based on "selfish" agents which play the Prisoner's Dilemma (PD) game is studied. The agents have no memory and use strategies not based on direct…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 H. Fort

We consider two-player iterated survival games in which players may switch from a more cooperative behavior to a less cooperative one at some step of the game. Payoffs are survival probabilities and lone individuals have to finish the game…

Populations and Evolution · Quantitative Biology 2021-02-18 Olivier Salagnac , John Wakeley

While single-agent policy optimization in a fixed environment has attracted a lot of research attention recently in the reinforcement learning community, much less is known theoretically when there are multiple agents playing in a…

Machine Learning · Computer Science 2022-07-27 Shuang Qiu , Xiaohan Wei , Jieping Ye , Zhaoran Wang , Zhuoran Yang

We studied the effect of three strategy updating rules in coevolving prisoner's dilemma games where agents (nodes) can switch both the strategy and social partners. Under two node-based strategy updating rules, strategy updating occurs…

Physics and Society · Physics 2018-09-25 Hirofumi Takesue

Promoting cooperation is an intellectual challenge in the social sciences, for which the iterated Prisoners' Dilemma (IPD) is a fundamental framework. The traditional view that there exists no simple ultimatum strategy whereby one player…

Physics and Society · Physics 2015-05-12 Bin Xu , Yanran Zhou , Jaimie W. Lien , Jie Zheng , Zhijian Wang

A growing body of computational studies shows that simple machine learning agents converge to cooperative behaviors in social dilemmas, such as collusive price-setting in oligopoly markets, raising questions about what drives this outcome.…

Computer Science and Game Theory · Computer Science 2025-12-23 Quentin Bertrand , Juan Duque , Emilio Calvano , Gauthier Gidel

Zero-sum games are natural, if informal, analogues of closed physical systems where no energy/utility can enter or exit. This analogy can be extended even further if we consider zero-sum network (polymatrix) games where multiple agents…

Computer Science and Game Theory · Computer Science 2019-03-06 James P. Bailey , Georgios Piliouras

Cooperation is usually represented as a Prisoner's Dilemma game. Although individual self-interest may not favour cooperation, cooperation can evolve if, for example, players interact multiple times adjusting their behaviour accordingly to…

Physics and Society · Physics 2015-04-29 Elton J. S. Júnior , Lucas Wardil , Jafferson K. L. da Silva

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

We study the possible advantages of adopting of quantum strategies in multi-player evolutionary games. We base our study on the three-player Prisoner's Dilemma (PD) game. In order to model the simultaneous interaction between three agents…

Quantum Physics · Physics 2020-11-10 Ł. Pawela , J. Sładkowski

Various theoretical and empirical studies have accounted for why humans cooperate in competitive environments. Although prior work has revealed that network structure and multiplex interactions can promote cooperation, most theory assumes…

Physics and Society · Physics 2026-01-05 Jnanajyoti Bhaumik , Naoki Masuda

We consider a version of the ultimatum game which simultaneously combines reactive and Darwinian aspects with offers in [0,1]. By reactive aspects, we consider the effects that lead the player to change their offer given the previous…

Physics and Society · Physics 2019-10-02 Roberto da Silva , Pablo Valverde , Luis C. Lamb