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We study an online learning problem in general-sum Stackelberg games, where players act in a decentralized and strategic manner. We study two settings depending on the type of information for the follower: (1) the limited information…

Machine Learning · Computer Science 2025-05-06 Yaolong Yu , Haipeng Chen

A model of Boolean agents competing in a market is presented where each agent bases his action on information obtained from a small group of other agents. The agents play a competitive game that rewards those in the minority. After a long…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler , Alvaro Corral

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

We address the problem of how cooperative (altruistic-like) behavior arises in natural and social systems by analyzing an ultimatum game in complex networks. Specifically, three types of players are considered: (a) empathetic, whose…

Physics and Society · Physics 2009-12-18 Roberta Sinatra , Jaime Iranzo , Jesús Gómez-Gardeñes , Luis M. Floría , Vito Latora , Yamir Moreno

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…

Computer Science and Game Theory · Computer Science 2022-04-28 Rui Yan , Weixian Zhang , Ruiliang Deng , Xiaoming Duan , Zongying Shi , Yisheng Zhong

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…

Dynamical Systems · Mathematics 2022-10-04 Janusz M Meylahn , Lars Janssen

We consider the problem of predicting human players' actions in repeated strategic interactions. Our goal is to predict the dynamic step-by-step behavior of individual players in previously unseen games. We study the ability of neural…

Computer Science and Game Theory · Computer Science 2019-11-11 Yoav Kolumbus , Gali Noti

We obtain global, non-asymptotic convergence guarantees for independent learning algorithms in competitive reinforcement learning settings with two agents (i.e., zero-sum stochastic games). We consider an episodic setting where in each…

Machine Learning · Computer Science 2021-01-13 Constantinos Daskalakis , Dylan J. Foster , Noah Golowich

The multilevel reverse Stackelberg game is considered. In this game, the leader controls the outcome by announcing a strategy as a function of decision variables of the followers to his/her own decision space. Corresponding to the leader's…

Optimization and Control · Mathematics 2023-03-01 Seyfe Belete Worku , Birilew Belayneh Tsegaw , Semu Mitiku Kassa

In games with a large number of players where players may have overlapping objectives, the analysis of stable outcomes typically depends on player types. A special case is when a large part of the player population consists of imitation…

Computer Science and Game Theory · Computer Science 2010-06-18 Soumya Paul , R. Ramanujam

We study adaptive learning in a typical p-player game. The payoffs of the games are randomly generated and then held fixed. The strategies of the players evolve through time as the players learn. The trajectories in the strategy space…

Economics · Quantitative Finance 2018-04-09 James B. T. Sanders , J. Doyne Farmer , Tobias Galla

Strategic interactions between a group of individuals or organisations can be modelled as games played on networks, where a player's payoff depends not only on their actions but also on those of their neighbours. Inferring the network…

Machine Learning · Computer Science 2022-08-19 Emanuele Rossi , Federico Monti , Yan Leng , Michael M. Bronstein , Xiaowen Dong

We study a two-player model of conflict with multiple battlefields -- the novel element is that each of the players has their own network of spillovers so that resources allocated to one battle can be utilized in winning neighboring…

Theoretical Economics · Economics 2025-10-14 Marcin Dziubiński , Sanjeev Goyal , Junjie Zhou

We consider network contribution games, where each agent in a social network has a budget of effort that he can contribute to different collaborative projects or relationships. Depending on the contribution of the involved agents a…

Computer Science and Game Theory · Computer Science 2012-04-27 Elliot Anshelevich , Martin Hoefer

In this work, we consider dynamic influence maximization games over social networks with multiple players (influencers). The goal of each influencer is to maximize their own reward subject to their limited total budget rate constraints.…

Computer Science and Game Theory · Computer Science 2023-09-26 Melih Bastopcu , S. Rasoul Etesami , Tamer Başar

Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in…

Computer Science and Game Theory · Computer Science 2025-04-29 David Sychrovský , Martin Schmid , Michal Šustr , Michael Bowling

We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded by a KL function with a settling time that can be upper…

Optimization and Control · Mathematics 2020-12-25 Jorge I. Poveda , Miroslav Krstic , Tamer Basar

In repeated games, strategies are often evaluated by their ability to guarantee the performance of the single best action that is selected in hindsight, a property referred to as \emph{Hannan consistency}, or \emph{no-regret}. However, the…

Computer Science and Game Theory · Computer Science 2025-01-24 Ludovico Crippa , Yonatan Gur , Bar Light

We study the interaction between a network designer and an adversary over a dynamical network. The network consists of nodes performing continuous-time distributed averaging. The goal of the network designer is to assist the nodes reach…

Optimization and Control · Mathematics 2013-04-02 Ali Khanafer , Behrouz Touri , Tamer Başar

The very notion of social network implies that linked individuals interact repeatedly with each other. This allows them not only to learn successful strategies and adapt to them, but also to condition their own behavior on the behavior of…

Physics and Society · Physics 2015-05-27 Luca Dall'Asta , Matteo Marsili , Paolo Pin
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