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We study $n$-player turn-based games played on a finite directed graph. For each play, the players have to pay a cost that they want to minimize. Instead of the well-known notion of Nash equilibrium (NE), we focus on the notion of subgame…

Computer Science and Game Theory · Computer Science 2015-04-13 Thomas Brihaye , Véronique Bruyère , Noémie Meunier , Jean-François Raskin

This paper proposes and studies a general form of dynamic $N$-player non-cooperative games called $\alpha$-potential games, where the change of a player's value function upon her unilateral deviation from her strategy is equal to the change…

Optimization and Control · Mathematics 2025-04-02 Xin Guo , Xinyu Li , Yufei Zhang

Spontaneous collapse models aim to solve the long-standing measurement problem in quantum mechanics by modifying the theory's dynamics to include objective wave function collapses. These collapses occur randomly in space, bridging the gap…

Quantum Physics · Physics 2025-07-23 Nicolò Piccione , Angelo Bassi

Network games provide a framework to study strategic decision making processes that are governed by structured interdependencies among agents. However, existing models do not account for environments in which agents simultaneously interact…

Computer Science and Game Theory · Computer Science 2025-01-15 Raman Ebrahimi , Parinaz Naghizadeh

Socio-technical networks represent emerging cyber-physical infrastructures that are tightly interwoven with human networks. The coupling between human and technical networks presents significant challenges in managing, controlling, and…

Systems and Control · Electrical Eng. & Systems 2024-11-07 Quanyan Zhu , Tamer Başar

We develop the fictitious play algorithm in the context of the linear programming approach for mean field games of optimal stopping and mean field games with regular control and absorption. This algorithm allows to approximate the mean…

Optimization and Control · Mathematics 2023-01-25 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

We consider mean field games with discrete state spaces (called discrete mean field games in the following) and we analyze these games in continuous and discrete time, over finite as well as infinite time horizons. We prove the existence of…

Optimization and Control · Mathematics 2019-09-04 Josu Doncel , Nicolas Gast , Bruno Gaujal

Concurrent stochastic games are an important formalism for the rational verification of probabilistic multi-agent systems, which involves verifying whether a temporal logic property is satisfied in some or all game-theoretic equilibria of…

Computer Science and Game Theory · Computer Science 2023-11-29 Daniel Stan , Muhammad Najib , Anthony Widjaja Lin , Parosh Aziz Abdulla

Existing models for the analysis of concurrent processes tend to focus on fail-stop failures, where processes are either working or permanently stopped, and their state (working/stopped) is known. In fact, systems are often affected by grey…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Laura Bocchi , Julien Lange , Simon Thompson , A. Laura Voinea

A Fragile CPR Game is an instance of a resource sharing game where a common-pool resource, which is prone to failure due to overuse, is shared among several players. Each player has a fixed initial endowment and is faced with the task of…

Computer Science and Game Theory · Computer Science 2021-02-26 Christos Pelekis , Panagiotis Promponas , Juan Alvarado , Eirini-Eleni Tsiropoulou , Symeon Papavassiliou

Modern distributed systems rely on consensus protocols to build a fault-tolerant-core upon which they can build applications. Consensus protocols are correct under a specific failure model, where up to $f$ machines can fail. We argue that…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Reginald Frank , Soujanya Ponnapalli , Octavio Lomeli , Neil Giridharan , Marcos K Aguilera , Natacha Crooks

We study infinitely repeated games in settings of imperfect monitoring. We first prove a family of theorems that show that when the signals observed by the players satisfy a condition known as $(\epsilon, \gamma)$-differential privacy, that…

Computer Science and Game Theory · Computer Science 2014-10-09 Mallesh M. Pai , Aaron Roth , Jonathan Ullman

This paper studies scenarios of cyclic dominance in a coevolutionary spatial model in which game strategies and links between agents adaptively evolve over time. The Optional Prisoner's Dilemma (OPD) game is employed. The OPD is an extended…

Computer Science and Game Theory · Computer Science 2017-02-15 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

In this paper, we consider finite-strategy approximations of infinite-strategy evolutionary games. We prove that such approximations converge to the true dynamics over finite-time intervals, under mild regularity conditions which are…

Theoretical Economics · Economics 2025-11-18 Brendon G. Anderson

Decision-making for autonomous driving is challenging, considering the complex interactions among multiple traffic agents (e.g., autonomous vehicles (AVs), human drivers, and pedestrians) and the computational load needed to evaluate these…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Mushuang Liu , Ilya Kolmanovsky , H. Eric Tseng , Suzhou Huang , Dimitar Filev , Anouck Girard

We study multiplayer turn-based games played on a finite directed graph such that each player aims at satisfying an omega-regular Boolean objective. Instead of the well-known notions of Nash equilibrium (NE) and subgame perfect equilibrium…

Computer Science and Game Theory · Computer Science 2018-09-12 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin

In many multiagent scenarios, agents distribute resources, such as time or energy, among several tasks. Having completed their tasks and generated profits, task payoffs must be divided among the agents in some reasonable manner. Cooperative…

Computer Science and Game Theory · Computer Science 2014-07-16 Yair Zick , Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis

Game environments offer a unique opportunity for training virtual agents due to their interactive nature, which provides diverse play traces and affect labels. Despite their potential, no reinforcement learning framework incorporates human…

Artificial Intelligence · Computer Science 2024-07-29 Matthew Barthet , Roberto Gallotta , Ahmed Khalifa , Antonios Liapis , Georgios N. Yannakakis

The design of coherent and efficient policies to address infectious diseases and their consequences requires to model not only epidemics dynamics, but also individual behaviors, as the latter has a strong influence on the former. In our…

Physics and Society · Physics 2024-04-16 Louis Bremaud , Olivier Giraud , Denis Ullmo

The recent advancement in real-world critical infrastructure networks has led to an exponential growth in the use of automated devices which in turn has created new security challenges. In this paper, we study the robust and adaptive…

Computer Science and Game Theory · Computer Science 2020-11-10 Supriyo Ghosh , Patrick Jaillet