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This paper investigates online distributed aggregative games with time-varying cost functions, where agents are interconnected through an unbalanced communication graph. Due to the distributed and noncooperative nature of the game, some…

Computer Science and Game Theory · Computer Science 2025-12-16 Olusola Odeyomi , Tokunbo Ogunfunmi , Adjovi Laba

Infinitely repeated games support equilibrium concepts beyond those present in one-shot games (e.g., cooperation in the prisoner's dilemma). Nonetheless, repeated games fail to capture our real-world intuition for settings with many…

Computer Science and Game Theory · Computer Science 2025-05-22 Henry Fleischmann , Kiriaki Fragkia , Ratip Emin Berker

We introduce and study Maker/Breaker-type positional games on random graphs. Our main concern is to determine the threshold probability $p_{F}$ for the existence of Maker's strategy to claim a member of $F$ in the unbiased game played on…

Combinatorics · Mathematics 2007-05-23 Milos Stojakovic , Tibor Szabo

The Traveling Tournament Problem (TTP) is a challenging combinatorial optimization problem that has attracted the interest of researchers around the world. This paper proposes an improved search neighbourhood for the TTP that has been…

Data Structures and Algorithms · Computer Science 2010-07-06 Glenn Langford

In a recent paper Velleman and Warrington analyzed the expected values of some of the parameters in a memory game, namely, the length of the game, the waiting time for the first match, and the number of lucky moves. In this paper we…

Combinatorics · Mathematics 2014-11-24 Huseyin Acan , Pawel Hitczenko

The advent of online genomic data-sharing services has sought to enhance the accessibility of large genomic datasets by allowing queries about genetic variants, such as summary statistics, aiding care providers in distinguishing between…

Cryptography and Security · Computer Science 2024-06-05 Tao Zhang , Rajagopal Venkatesaramani , Rajat K. De , Bradley A. Malin , Yevgeniy Vorobeychik

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

Economics · Quantitative Finance 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti

Prophet inequalities are a central object of study in optimal stopping theory. In the iid model, a gambler sees values in an online fashion, sampled independently from a given distribution. Upon observing each value, the gambler either…

Data Structures and Algorithms · Computer Science 2025-06-23 Giordano Giambartolomei , Frederik Mallmann-Trenn , Raimundo Saona

Game theory provides the gold standard for analyzing adversarial engagements, offering strong optimality guarantees. However, these guarantees often become brittle when assumptions such as perfect information are violated. Reinforcement…

Machine Learning · Computer Science 2026-03-18 Goutam Das , Michael Dorothy , Kyle Volle , Daigo Shishika

We introduce two-level discounted games played by two players on a perfect-information stochastic game graph. The upper level game is a discounted game and the lower level game is an undiscounted reachability game. Two-level games model…

Logic in Computer Science · Computer Science 2010-06-09 Krishnendu Chatterjee , Rupak Majumdar

In a distributed game we imagine a team Player engaging a team Opponent in a distributed fashion. Such games and their strategies have been formalised in concurrent games based on event structures. However there are limitations in founding…

Logic in Computer Science · Computer Science 2016-07-14 Marc de Visme , Glynn Winskel

We apply Game Theory to a mathematical representation of two competing teams of agents connected within a complex network, where the ability of each side to manoeuvre their resource and degrade that of the other depends on their ability to…

Physics and Society · Physics 2023-12-06 Andrew C. Cullen , Tansu Alpcan , Alexander C. Kalloniatis

Studying distributed computing through the lens of algebraic topology has been the source of many significant breakthroughs during the last two decades, especially in the design of lower bounds or impossibility results for deterministic…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-26 Pierre Fraigniaud , Ran Gelles , Zvi Lotker

Temporal graphs extend ordinary graphs with discrete time that affects the availability of edges. We consider solving games played on temporal graphs where one player aims to explore the graph, i.e., visit all vertices. The complexity…

Computer Science and Game Theory · Computer Science 2025-06-16 Pete Austin , Nicolas Mazzocchi , Sougata Bose , Patrick Totzke

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

Optimization and Control · Mathematics 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

Multi-agent reinforcement learning (MARL) is a prevalent learning paradigm for solving stochastic games. In most MARL studies, agents in a game are defined as teammates or enemies beforehand, and the relationships among the agents remain…

Artificial Intelligence · Computer Science 2023-03-07 Shijie Han , Siyuan Li , Bo An , Wei Zhao , Peng Liu

This paper studies multiplayer turn-based games on graphs in which player preferences are modeled as $\omega$-automatic relations given by deterministic parity automata. This contrasts with most existing work, which focuses on specific…

Computer Science and Game Theory · Computer Science 2026-02-10 Véronique Bruyère , Emmanuel Filiot , Christophe Grandmont , Jean-François Raskin

We study the problem of synthesizing control strategies for Linear Temporal Logic (LTL) objectives in unknown environments. We model this problem as a turn-based zero-sum stochastic game between the controller and the environment, where the…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael Zavlanos , Miroslav Pajic

We define reachability games based on Dynamic Epistemic Logic (DEL), where the players' actions are finely described as DEL action models. We first consider the setting where an external controller with perfect information interacts with an…

Logic in Computer Science · Computer Science 2019-05-30 Bastien Maubert , Sophie Pinchinat , François Schwarzentruber
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