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One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt

A Nash equilibrium has become important solution concept for analyzing the decision making in Game theory. In this paper, we consider the problem of computing Nash equilibria of a subclass of generic finite normal form games. We define…

Computer Science and Game Theory · Computer Science 2015-03-17 Samaresh Chatterji , Ratnik Gandhi

Noncooperative games with uncertain payoffs have been classically studied under the expected-utility theory framework, which relies on the strong assumption that agents behave rationally. However, simple experiments on human decision makers…

Computer Science and Game Theory · Computer Science 2025-08-14 Ashok Krishnan K. S. , Hélène Le Cadre , Ana Bušić

We introduce a set-valued solution concept, M equilibrium, to capture empirical regularities from over half a century of game-theory experiments. We show M equilibrium serves as a meta theory for various models that hitherto were considered…

Theoretical Economics · Economics 2021-04-20 Jacob K. Goeree , Philippos Louis

In many real-world large-scale decision problems, self-interested agents have individual dynamics and optimize their own long-term payoffs. Important examples include the competitive access to shared resources (e.g., roads, energy, or…

Optimization and Control · Mathematics 2024-06-05 Ezzat Elokda , Saverio Bolognani , Andrea Censi , Florian Dörfler , Emilio Frazzoli

In evolutionary game theory, it is customary to be partial to the dynamical models possessing fixed points so that they may be understood as the attainment of evolutionary stability, and hence, Nash equilibrium. Any show of periodic or…

Populations and Evolution · Quantitative Biology 2021-02-23 Archan Mukhopadhyay , Sagar Chakraborty

This article introduces differential hybrid games, which combine differential games with hybrid games. In both kinds of games, two players interact with continuous dynamics. The difference is that hybrid games also provide all the features…

Logic in Computer Science · Computer Science 2017-08-17 André Platzer

We introduce the notion of exchangeable equilibria of a symmetric bimatrix game, defined as those correlated equilibria in which players' strategy choices are conditionally independently and identically distributed given some hidden…

Computer Science and Game Theory · Computer Science 2014-01-21 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

In recent years, there has been a growing interest in games on graphs within the research community, fueled by their relevance in applications such as economics, politics, and epidemiology. This paper aims to comprehensively detail the…

Computer Science and Game Theory · Computer Science 2024-06-11 Christian Giannetti

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

As Machine Learning (ML) systems becomes more ubiquitous, ensuring the fair and equitable application of their underlying algorithms is of paramount importance. We argue that one way to achieve this is to proactively cultivate public…

Computers and Society · Computer Science 2020-04-22 Eric Chu , Nabeel Gillani , Sneha Priscilla Makini

We study pure Nash equilibria in games on graphs with an imperfect monitoring based on a public signal. In such games, deviations and players responsible for those deviations can be hard to detect and track. We propose a generic epistemic…

Computer Science and Game Theory · Computer Science 2019-08-21 Patricia Bouyer

Supermodular games find significant applications in a variety of models, especially in operations research and economic applications of noncooperative game theory, and feature pure strategy Nash equilibria characterized as fixed points of…

Computer Science and Game Theory · Computer Science 2015-07-07 Francesco Ranzato

We study the problem of computing all Nash equilibria of a subclass of finite normal form games. With algebraic characterization of the games, we present a method for computing all its Nash equilibria. Further, we present a method for…

Computer Science and Game Theory · Computer Science 2010-01-28 Samaresh Chatterji , Ratnik Gandhi

Mean Field Game systems describe equilibrium configurations in differential games with infinitely many infinitesimal interacting agents. We introduce a learning procedure (similar to the Fictitious Play) for these games and show its…

Optimization and Control · Mathematics 2015-08-03 Pierre Cardaliaguet , Saeed Hadikhanloo

We consider evolutionary dynamics for population games in which players have a continuum of strategies at their disposal. Models in this setting amount to infinite-dimensional differential equations evolving on the manifold of probability…

Dynamical Systems · Mathematics 2025-04-23 Brendon G. Anderson , Jingqi Li , Somayeh Sojoudi , Murat Arcak

We study solution concepts for normal-form games. We obtain a characterization of Nash equilibria and logit quantal response equilibria, as well as generalizations capturing non-expected utility. Our axioms reflect that players are…

Theoretical Economics · Economics 2025-09-30 Fedor Sandomirskiy , Po Hyun Sung , Omer Tamuz , Ben Wincelberg

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson

This paper presents a brief review of current game usability models. This leads to the conception of a high-level game development-centered usability model that integrates current usability approaches in game industry and game research.

Human-Computer Interaction · Computer Science 2010-04-05 Lennart E. Nacke

Fictitious play (FP) is one of the most fundamental game-theoretical learning frameworks for computing Nash equilibrium in $n$-player games, which builds the foundation for modern multi-agent learning algorithms. Although FP has provable…

Computer Science and Game Theory · Computer Science 2022-05-04 Yurong Chen , Xiaotie Deng , Chenchen Li , David Mguni , Jun Wang , Xiang Yan , Yaodong Yang