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The problem of reinforcement learning is considered where the environment or the model undergoes a change. An algorithm is proposed that an agent can apply in such a problem to achieve the optimal long-time discounted reward. The algorithm…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Wuxia Chen , Taposh Banerjee , Jemin George , Carl Busart

Growing advancements in reinforcement learning has led to advancements in control theory. Reinforcement learning has effectively solved the inverted pendulum problem and more recently the double inverted pendulum problem. In reinforcement…

Machine Learning · Computer Science 2021-05-26 Amartya Mukherjee

Online information ecosystems are now central to our everyday social interactions. Of the many opportunities and challenges this presents, the capacity for artificial agents to shape individual and collective human decision-making in such…

Populations and Evolution · Quantitative Biology 2023-12-07 Theodor Cimpeanu , Alexander J. Stewart

This work considers a repeated principal-agent bandit game, where the principal can only interact with her environment through the agent. The principal and the agent have misaligned objectives and the choice of action is only left to the…

Commitments play a crucial role in game theory, shaping strategic interactions by either altering a player's own payoffs or influencing the incentives of others through outcome-contingent payments. While most research has focused on using…

Computer Science and Game Theory · Computer Science 2025-07-30 Maria Alejandra Ramirez , Rosemarie Nagel , David Wolpert , Jürgen Jost

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

Affordance refers to the perception of possible actions allowed by an object. Despite its relevance to human-computer interaction, no existing theory explains the mechanisms that underpin affordance-formation; that is, how affordances are…

Human-Computer Interaction · Computer Science 2022-01-10 Yi-Chi Liao , Kashyap Todi , Aditya Acharya , Antti Keurulainen , Andrew Howes , Antti Oulasvirta

The theory of two-sided matching has been extensively developed and applied to many real-life application domains. As the theory has been applied to increasingly diverse types of environments, researchers and practitioners have encountered…

Computer Science and Game Theory · Computer Science 2024-02-05 Sung-Ho Cho , Kei Kimura , Kiki Liu , Kwei-guu Liu , Zhengjie Liu , Zhaohong Sun , Kentaro Yahiro , Makoto Yokoo

Fairness is desirable yet challenging to achieve within multi-agent systems, especially when agents differ in latent traits that affect their abilities. This hidden heterogeneity often leads to unequal distributions of wealth, even when…

Computer Science and Game Theory · Computer Science 2025-06-23 Jakub Tłuczek , Victor Villin , Christos Dimitrakakis

An ambitious goal for machine learning is to create agents that behave ethically: The capacity to abide by human moral norms would greatly expand the context in which autonomous agents could be practically and safely deployed, e.g. fully…

Artificial Intelligence · Computer Science 2021-07-21 Adrien Ecoffet , Joel Lehman

Stackelberg games and their resulting equilibria have received increasing attention in the multi-agent reinforcement learning literature. Each stage of a traditional Stackelberg game involves a leader(s) acting first, followed by the…

Multiagent Systems · Computer Science 2025-08-05 Akshay Dodwadmath , Setareh Maghsudi

The Exploration-Exploitation tradeoff arises in Reinforcement Learning when one cannot tell if a policy is optimal. Then, there is a constant need to explore new actions instead of exploiting past experience. In practice, it is common to…

Machine Learning · Computer Science 2019-09-10 Lior Shani , Yonathan Efroni , Shie Mannor

The Ultimatum Game is conventionally formulated in the context of two players. Nonetheless, real-life scenarios often entail community interactions among numerous individuals. To address this, we introduce an extended version of the…

Optimization and Control · Mathematics 2024-08-06 Hana Krakovská , Rudolf Hanel , Mark Broom

Using simulations between pairs of $\epsilon$-greedy q-learners with one-period memory, this article demonstrates that the potential function of the stochastic replicator dynamics (Foster and Young, 1990) allows it to predict the emergence…

Theoretical Economics · Economics 2023-02-23 Maximilian Schaefer

To be the fittest is central to proliferation in evolutionary games. Individuals thus adopt the strategies of better performing players in the hope of successful reproduction. In structured populations the array of those that are eligible…

Physics and Society · Physics 2010-12-09 Matjaz Perc , Zhen Wang

Reinforcement learning techniques achieved human-level performance in several tasks in the last decade. However, in recent years, the need for interpretability emerged: we want to be able to understand how a system works and the reasons…

Machine Learning · Computer Science 2023-01-13 Leonardo Lucio Custode , Giovanni Iacca

Multi-agent reinforcement learning in mixed-motive settings presents a fundamental challenge: agents must balance individual interests with collective goals, which are neither fully aligned nor strictly opposed. To address this, reward…

Multiagent Systems · Computer Science 2025-08-26 Woojun Kim , Katia Sycara

Darwin's theory of evolution - as introduced in game theory by Maynard Smith - is not the only important evolutionary aspect in a evolutionary dynamics, since complex interdependencies, competition, and growth should be modeled by, for…

Physics and Society · Physics 2016-02-17 Roberto da Silva , Pablo A. Valverde , Luis C. Lamb

Escalation is a typical feature of infinite games. Therefore tools conceived for studying infinite mathematical structures, namely those deriving from coinduction are essential. Here we use coinduction, or backward coinduction (to show its…

Computer Science and Game Theory · Computer Science 2010-04-30 Pierre Lescanne , Perrinel Matthieu

Escalation is a typical feature of infinite games. Therefore tools conceived for studying infinite mathematical structures, namely those deriving from coinduction are essential. Here we use coinduction, or backward coinduction (to show its…

Computer Science and Game Theory · Computer Science 2011-12-16 Pierre Lescanne , Perrinel Matthieu