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Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

Theoretical Economics · Economics 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

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

We study strategic games on weighted directed graphs, where the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy augmented by a fixed non-negative bonus for picking a given…

Computer Science and Game Theory · Computer Science 2016-04-19 Sunil Simon , Dominik Wojtczak

We study hedonic games with dichotomous preferences. Hedonic games are cooperative games in which players desire to form coalitions, but only care about the makeup of the coalitions of which they are members; they are indifferent about the…

Computer Science and Game Theory · Computer Science 2015-09-24 Haris Aziz , Paul Harrenstein , Jérôme Lang , Michael Wooldridge

Evolutionary games on networks traditionally involve the same game at each interaction. Here we depart from this assumption by considering mixed games, where the game played at each interaction is drawn uniformly at random from a set of two…

Physics and Society · Physics 2016-05-23 Marco A. Amaral , Lucas Wardil , Matjaz Perc , Jafferson K. L. da Silva

We consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank…

Optimization and Control · Mathematics 2018-11-02 Erhan Bayraktar , Jakša Cvitanić , Yuchong Zhang

The model of congestion games is widely used to analyze games related to traffic and communication. A central property of these games is that they are potential games and hence posses a pure Nash equilibrium. In reality it is often the case…

Computer Science and Game Theory · Computer Science 2011-11-17 Sergey Kuniavsky , Rann Smorodinsky

Inspired by successful biological collective decision mechanisms such as honey bees searching for a new colony or the collective navigation of fish schools, we consider a mean field games (MFG)-like scenario where a large number of agents…

Systems and Control · Computer Science 2016-01-26 Rabih Salhab , Roland P. Malhamé , Jerome Le Ny

We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

Computer Science and Game Theory · Computer Science 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

In network formation games, agents form edges with each other to maximize their utility. Each agent's utility depends on its private beliefs and its edges in the network. Strategic agents can misrepresent their beliefs to get a better…

Optimization and Control · Mathematics 2024-09-04 Akhil Jalan , Deepayan Chakrabarti

We study strategic games on weighted directed graphs, in which the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy, augmented by a fixed non-negative integer bonus for picking a…

Computer Science and Game Theory · Computer Science 2021-03-15 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

Consider an important meeting to be held in a team-based organization. Taking availability constraints into account, an online scheduling poll is being used in order to decide upon the exact time of the meeting. Decisions are to be taken…

Computer Science and Game Theory · Computer Science 2016-11-29 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Svetlana Obraztsova , Nimrod Talmon

In the framework of transferable utility coalitional games, a scoring (characteristic) function determines the value of any subset/coalition of agents. Agents decide on both which coalitions to form and the allocations of the values of the…

Computer Science and Game Theory · Computer Science 2023-11-29 Aya Hamed , Jeff S. Shamma

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

Optimization and Control · Mathematics 2023-04-27 Meichen Guo , Claudio De Persis

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

Multiagent Systems · Computer Science 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

We consider the existence and computational complexity of coalitional stability concepts based on social networks. Our concepts represent a natural and rich combinatorial generalization of a recent approach termed partition equilibrium. We…

Computer Science and Game Theory · Computer Science 2010-12-08 Martin Hoefer , Michal Penn , Maria Polukarov , Alexander Skopalik , Berhold Vöcking

We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves stochastically with their actions. A player's reward depends…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

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

A noncooperative differential (dynamic) game model of opinion dynamics is proposed. In this game, the agents' motives are shaped by their expectations of the nature of others' opinions as well as how susceptible they are to get influenced…

Optimization and Control · Mathematics 2020-02-25 Muhammad Umar B. Niazi , Arif Bülent Özgüler

First order kinetic mean field games formally describe the Nash equilibria of deterministic differential games where agents control their acceleration, asymptotically in the limit as the number of agents tends to infinity. The known results…

Analysis of PDEs · Mathematics 2022-07-12 Megan Griffin-Pickering , Alpár R. Mészáros
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