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In this paper, we present a game-theoretic model describing voluntary social distancing during the spread of an epidemic. The payoffs of the agents depend on the social distancing they practice and on the probability of getting infected. We…

Computer Science and Game Theory · Computer Science 2021-04-06 Ioannis Kordonis , Athanasios-Rafail Lagos , George P. Papavassilopoulos

In coalitional games, traditional coalitional game theory does not apply if different participants hold different opinions about the payoff function that corresponds to each subset of the coalition. In this paper, we propose a framework in…

Computer Science and Game Theory · Computer Science 2017-09-12 Bomin Jiang , Mardavij Roozbehani , Munther A. Dahleh

In order to understand if and how strategic resource allocation can constrain the structure of pair-wise competition outcomes in competitive human competitions we introduce a new multiplayer resource allocation game, the Population Lotto…

Computer Science and Game Theory · Computer Science 2022-09-02 Giovanni Artiglio , Aiden Youkhana , Joel Nishimura

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

The use of game theoretic models has been quite successful in describing various cooperative and non-cooperative optimization problems in networks and other domains of computer systems. In this paper, we study an application of game…

Networking and Internet Architecture · Computer Science 2013-05-16 Sandip Chakraborty , Soumyadip Majumder , Diganta Goswami

This paper addresses the distributed Nash Equilibrium seeking problem for aggregative games, where legitimate players' decisions are affected by potential malicious players. To describe players' behavior, we introduce a novel heterogeneous…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Kai-Yuan Guo , Yan-Wu Wang , Xiao-Kang Liu , Zhi-Wei Liu

We consider a game of decentralized timing of jobs to a single server (machine) with a penalty for deviation from a due date, and no delay costs. The jobs' sizes are homogeneous and deterministic. Each job belongs to a single decision…

Computer Science and Game Theory · Computer Science 2017-10-17 Amihai Glazer , Refael Hassin , Liron Ravner

This paper revisits the Hotelling model with waiting costs Kohlberg (1983), focusing on two specific settings where pure Nash equilibria do not exist: the asymmetric model with two firms and the symmetric model with three firms. In the…

Theoretical Economics · Economics 2025-01-28 Joep van Sloun

In response to a change, individuals may choose to follow the responses of their friends or, alternatively, to change their friends. To model these decisions, consider a game where players choose their behaviors and friendships. In…

Social and Information Networks · Computer Science 2020-06-23 Anton Badev

We study the existence of mixed-strategy equilibria in concurrent games played on graphs. While existence is guaranteed with safety objectives for each player, Nash equilibria need not exist when players are given arbitrary terminal-reward…

Computer Science and Game Theory · Computer Science 2016-09-15 Patricia Bouyer , Nicolas Markey , Daniel Stan

In an atomic splittable flow over time game, finitely many players route flow dynamically through a network, in which edges are equipped with transit times, specifying the traversing time, and with capacities, restricting flow rates.…

Computer Science and Game Theory · Computer Science 2022-02-24 Antonia Adamik , Leon Sering

This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination…

Computer Science and Game Theory · Computer Science 2009-02-04 Martin Hoefer , Alexander Skopalik

The Naming Game is a model of non-equilibrium dynamics for the self-organized emergence of a linguistic convention or a communication system in a population of agents with pairwise local interactions. We present an extensive study of its…

Physics and Society · Physics 2007-05-23 Luca Dall'Asta , Andrea Baronchelli , Alain Barrat , Vittorio Loreto

This paper introduces two fundamentally new concepts to game theory: multilateral Nash equilibria and families of games. Starting with non-cooperative games, we show how these notions together seamlessly integrate into and naturally extend…

Algebraic Topology · Mathematics 2026-02-11 Matija Blagojevic , Christof Schütte

Congestion games are a classical type of games studied in game theory, in which n players choose a resource, and their individual cost increases with the number of other players choosing the same resource. In network congestion games…

Computer Science and Game Theory · Computer Science 2020-09-30 Nathalie Bertrand , Nicolas Markey , Suman Sadhukhan , Ocan Sankur

A notion of pi-tolerant equilibrium is defined that takes into account that players have some tolerance regarding payoffs in a game. This solution concept generalizes Nash and refines epsilon-Nash equilibrium in a natural way. We show that…

Computer Science and Game Theory · Computer Science 2017-07-28 Arpita Ghosh , Joseph Y. Halpern

We consider a game where a finite number of retailers choose a location, given that their potential consumers are distributed on a network. Retailers do not compete on price but only on location, therefore each consumer shops at the closest…

Computer Science and Game Theory · Computer Science 2019-01-03 Gaëtan Fournier , Marco Scarsini

Schelling games model the wide-spread phenomenon of residential segregation in metropolitan areas from a game-theoretic point of view. In these games agents of different types each strategically select a node on a given graph that models…

Computer Science and Game Theory · Computer Science 2023-02-24 Tobias Friedrich , Pascal Lenzner , Louise Molitor , Lars Seifert

We investigate the problem of equilibrium computation for "large" $n$-player games. Large games have a Lipschitz-type property that no single player's utility is greatly affected by any other individual player's actions. In this paper, we…

Computer Science and Game Theory · Computer Science 2016-10-28 Paul W. Goldberg , Francisco J. Marmolejo-Cossío , Zhiwei Steven Wu

We consider 2-player stochastic games with perfectly observed actions, and study the limit, as the discount factor goes to one, of the equilibrium payoffs set. In the usual setup where current states are observed by the players, we show…

Optimization and Control · Mathematics 2014-12-11 Jérôme Renault , Bruno Ziliotto