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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

We relate here two formalisms that are used for different purposes in reasoning about multi-agent systems. One of them are strategic games that are used to capture the idea that agents interact with each other while pursuing their own…

Computer Science and Game Theory · Computer Science 2007-05-23 Krzysztof R. Apt , Francesca Rossi , K. Brent Venable

In this study, we formulate positive and negative externalities caused by changes in the supply of shared vehicles as ride sharing games. The study aims to understand the price of anarchy (PoA) and its improvement via a coordination…

Computer Science and Game Theory · Computer Science 2016-04-05 Tatsuya Iwase , Takahiro Shiga

We apply Blackwell optimality to repeated games. An equilibrium whose strategy profile is sequentially rational for all high enough discount factors simultaneously is a Blackwell (subgame-perfect, perfect public, etc.) equilibrium. The bite…

Theoretical Economics · Economics 2025-01-13 Costas Cavounidis , Sambuddha Ghosh , Johannes Hörner , Eilon Solan , Satoru Takahashi

In game theory, mechanism design is concerned with the design of incentives so that a desired outcome of the game can be achieved. In this paper, we explore the concept of equilibrium design, where incentives are designed to obtain a…

Logic in Computer Science · Computer Science 2024-12-18 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

Shared-constraint games are noncooperative $N$-player games where players are coupled through a common coupling constraint. It is known that such games admit two kinds of equilibria -- generalized Nash equilibria (GNE) and variational…

Computer Science and Game Theory · Computer Science 2019-08-05 Ankur A. Kulkarni

Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-time algorithm is proposed. The algorithm is designed by virtue of projected gradient play dynamics and distributed average tracking dynamics, and is…

Optimization and Control · Mathematics 2021-12-07 Shu Liang , Peng Yi , Yiguang Hong , Kaixiang Peng

We prove that finding an $\epsilon$-approximate Nash equilibrium is PPAD-complete for constant $\epsilon$ and a particularly simple class of games: polymatrix, degree 3 graphical games, in which each player has only two actions. As…

Computer Science and Game Theory · Computer Science 2016-09-14 Aviad Rubinstein

Pseudo-games are a natural and well-known generalization of normal-form games, in which the actions taken by each player affect not only the other players' payoffs, as in games, but also the other players' strategy sets. The solution…

Computer Science and Game Theory · Computer Science 2022-10-20 Denizalp Goktas , Amy Greenwald

We are concerned with finding Nash Equilibria in agent-based multi-cluster games, where agents are separated into distinct clusters. While the agents inside each cluster collaborate to achieve a common goal, the clusters are considered to…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

We investigate a model for representing large multiplayer games, which satisfy strong symmetry properties. This model is made of multiple copies of an arena; each player plays in his own arena, and can partially observe what the other…

Computer Science and Game Theory · Computer Science 2014-04-04 Patricia Bouyer , Nicolas Markey , Steen Vester

This paper develops a distributed resource allocation game to study countries' pursuit of targets such as self-survival in the networked international environment. The contributions are two. First, the game formalizes countries' power…

Social and Information Networks · Computer Science 2017-02-28 Yuke Li , A. S Morse

We study combinatorial auctions where each item is sold separately but simultaneously via a second price auction. We ask whether it is possible to efficiently compute in this game a pure Nash equilibrium with social welfare close to the…

Computer Science and Game Theory · Computer Science 2015-06-10 Shahar Dobzinski , Hu Fu , Robert Kleinberg

The Optional Public Goods Game is a three-strategy game in which an individual can play as a cooperator or defector or decide not to participate. Despite its simplicity, this model can effectively represent many human social dilemmas, such…

In a graphical game agents play with their neighbors on a graph to achieve an appropriate state of equilibrium. Here relevant problems are characterizing the equilibrium set and discovering efficient algorithms to find such an equilibrium…

Statistical Mechanics · Physics 2011-09-06 A. Ramezanpour , J. Realpe-Gomez , R. Zecchina

We present novel techniques for neuro-symbolic concurrent stochastic games, a recently proposed modelling formalism to represent a set of probabilistic agents operating in a continuous-space environment using a combination of neural network…

Computer Science and Game Theory · Computer Science 2022-06-22 Rui Yan , Gabriel Santos , Xiaoming Duan , David Parker , Marta Kwiatkowska

We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be…

Computer Science and Game Theory · Computer Science 2014-04-04 Krzysztof R. Apt , Guido Schaefer

We propose and analyze a broad family of games played by resource-constrained players, which are characterized by the following central features: 1) each user has a multi-dimensional action space, subject to a single sum resource…

Computer Science and Game Theory · Computer Science 2010-05-07 Yi Su , Mihaela van der Schaar

We develop a scheme based on active learning to compute equilibria in a generalized Nash equilibrium problem (GNEP). Specifically, an external observer (or entity), with little knowledge on the multi-agent process at hand, collects sensible…

Optimization and Control · Mathematics 2025-05-08 Barbara Franci , Filippo Fabiani , Alberto Bemporad

In the field of international security, understanding the strategic interactions between countries within a networked context is crucial. Our previous research has introduced a ``games-on-signed graphs'' framework~\cite{LiMorse2022} to…

Computer Science and Game Theory · Computer Science 2025-12-01 Chuanzhe Zhang , Yuke Li , Wenjun Mei
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