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We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding…

计算机科学与博弈论 · 计算机科学 2017-01-03 Stéphane Le Roux , Arno Pauly

We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding…

计算机科学与博弈论 · 计算机科学 2016-07-13 Stéphane Le Roux , Arno Pauly

We study a setting in which two players play a (possibly approximate) Nash equilibrium of a bimatrix game, while a learner observes only their actions and has no knowledge of the equilibrium or the underlying game. A natural question is…

计算机科学与博弈论 · 计算机科学 2026-05-27 Annalisa Barbara , Riccardo Poiani , Martino Bernasconi , Andrea Celli

The use of reinforcement learning algorithms in financial trading is becoming increasingly prevalent. However, the autonomous nature of these algorithms can lead to unexpected outcomes that deviate from traditional game-theoretical…

交易与市场微观结构 · 定量金融 2026-02-16 Fabrizio Lillo , Andrea Macrì

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

计算机科学与博弈论 · 计算机科学 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

Reinforcement learning from self-play has recently reported many successes. Self-play, where the agents compete with themselves, is often used to generate training data for iterative policy improvement. In previous work, heuristic rules are…

机器学习 · 计算机科学 2020-09-15 Yuanyi Zhong , Yuan Zhou , Jian Peng

We investigate Nash equilibrium learning in a competitive Markov Game (MG) environment, where multiple agents compete, and multiple Nash equilibria can exist. In particular, for an oligopolistic dynamic pricing environment, exact Nash…

计算机科学与博弈论 · 计算机科学 2024-03-05 Larkin Liu

Nash equilibria provide a principled framework for modeling interactions in multi-agent decision-making and control. However, many equilibrium-seeking methods implicitly assume that each agent has access to the other agents' objectives and…

计算机科学与博弈论 · 计算机科学 2026-03-19 Mahdis Rabbani , Navid Mojahed , Shima Nazari

In single-agent Markov decision processes, an agent can optimize its policy based on the interaction with environment. In multi-player Markov games (MGs), however, the interaction is non-stationary due to the behaviors of other players, so…

计算机科学与博弈论 · 计算机科学 2021-10-19 Yuanheng Zhu , Dongbin Zhao , Mengchen Zhao , Dong Li

The paper addresses a problem of sequential bilateral bargaining with incomplete information. We proposed a decision model that helps agents to successfully bargain by performing indirect negotiation and learning the opponent's model.…

计算机科学与博弈论 · 计算机科学 2024-09-11 Tatiana V. Guy , Jitka Homolová , Aleksej Gaj

In this paper, we propose a passivity-based methodology for analysis and design of reinforcement learning in multi-agent finite games. Starting from a known exponentially-discounted reinforcement learning scheme, we show that convergence to…

最优化与控制 · 数学 2024-10-30 Bolin Gao , Lacra Pavel

Repeated games consider a situation where multiple agents are motivated by their independent rewards throughout learning. In general, the dynamics of their learning become complex. Especially when their rewards compete with each other like…

计算机科学与博弈论 · 计算机科学 2023-05-23 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

We study a repeated game with payoff externalities and observable actions where two players receive information over time about an underlying payoff-relevant state, and strategically coordinate their actions. Players learn about the true…

理论经济学 · 经济学 2018-09-05 Pathikrit Basu , Kalyan Chatterjee , Tetsuya Hoshino , Omer Tamuz

In game-theoretic learning, several agents are simultaneously following their individual interests, so the environment is non-stationary from each player's perspective. In this context, the performance of a learning algorithm is often…

计算机科学与博弈论 · 计算机科学 2021-10-19 Yu-Guan Hsieh , Kimon Antonakopoulos , Panayotis Mertikopoulos

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

计算机科学与博弈论 · 计算机科学 2019-05-09 Omer Ben-Porat , Moshe Tennenholtz

We study a game between two firms in which each provide a service based on machine learning. The firms are presented with the opportunity to purchase a new corpus of data, which will allow them to potentially improve the quality of their…

计算机科学与博弈论 · 计算机科学 2019-05-24 Jinshuo Dong , Hadi Elzayn , Shahin Jabbari , Michael Kearns , Zachary Schutzman

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

系统与控制 · 计算机科学 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

We extend the study of learning in games to dynamics that exhibit non-asymptotic stability. We do so through the notion of uniform stability, which is concerned with equilibria of individually utility-seeking dynamics. Perhaps surprisingly,…

计算机科学与博弈论 · 计算机科学 2025-10-17 Geelon So , Yi-An Ma

Consider a 2-player normal-form game repeated over time. We introduce an adaptive learning procedure, where the players only observe their own realized payoff at each stage. We assume that agents do not know their own payoff function, and…

计算机科学与博弈论 · 计算机科学 2013-06-13 Mario Bravo , Mathieu Faure

Game theory is a very profound study on distributed decision-making behavior and has been extensively developed by many scholars. However, many existing works rely on certain strict assumptions such as knowing the opponent's private…

计算机科学与博弈论 · 计算机科学 2020-04-21 Kuo Chun Tsai , Zhu Han
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