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An algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm is also applied to find the closest WPG for a given finite game. The concept and criterion…

Computer Science and Game Theory · Computer Science 2021-06-24 Daizhan Cheng , Zhengping Ji

Quantilized mean-field game models involve quantiles of the population's distribution. We study a class of such games with a capacity for ranking games, where the performance of each agent is evaluated based on its terminal state relative…

Optimization and Control · Mathematics 2025-07-02 Rinel Foguen Tchuendom , Dena Firoozi , Michèle Breton

Many problems in compositional synthesis and verification of multi-agent systems -- such as rational verification and assume-guarantee verification in probabilistic systems -- reduce to reasoning about two-player multi-objective stochastic…

Computer Science and Game Theory · Computer Science 2026-02-16 Moritz Graf , Anthony Lin , Rupak Majumdar

Runtime verification is a lightweight verification technique that complements model checking by analyzing system executions at runtime rather than exploring a complete system model in advance. It is particularly useful for partially…

Logic in Computer Science · Computer Science 2026-04-30 Benedikt Bollig

Multi-Agent Systems (MAS) are notoriously complex and hard to verify. In fact, it is not trivial to model a MAS, and even when a model is built, it is not always possible to verify, in a formal way, that it is actually behaving as we…

Logic in Computer Science · Computer Science 2023-06-19 Angelo Ferrando , Vadim Malvone

Reinforcement learning has been successful both empirically and theoretically in single-agent settings, but extending these results to multi-agent reinforcement learning in general-sum Markov games remains challenging. This paper studies…

Machine Learning · Computer Science 2026-04-07 Narim Jeong , Donghwan Lee

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

In late May of 2014 I received an email from a colleague introducing to me a non-transitive game developed by Walter Penney. This paper explores this probability game from the perspective of a coin tossing game, and further discusses some…

Probability · Mathematics 2014-06-10 James Brofos

Verifying quantum systems has attracted a lot of interest in the last decades.In this paper, we study the quantitative model-checking of quantum continuous-time Markov chains (quantum CTMCs). The branching-time properties of quantum CTMCs…

Logic in Computer Science · Computer Science 2025-11-19 Ming Xu , Jingyi Mei , Ji Guan , Yuxin Deng , Nengkun Yu

We propose a verified approach to the formal verification of timed properties using model-checking techniques. We focus on properties expressed using real-time specification patterns, which can be viewed as a subset of timed temporal logics…

Logic in Computer Science · Computer Science 2013-02-01 Nouha Abid , Silvano Dal Zilio , Didier Le Botlan

Weighted Timed Games (WTG for short) are the most widely used model to describe controller synthesis problems involving real-time issues. Unfortunately, they are notoriously difficult, and undecidable in general. As a consequence, one-clock…

Computer Science and Game Theory · Computer Science 2025-01-29 Benjamin Monmege , Julie Parreaux , Pierre-Alain Reynier

Model-based algorithms -- algorithms that explore the environment through building and utilizing an estimated model -- are widely used in reinforcement learning practice and theoretically shown to achieve optimal sample efficiency for…

Machine Learning · Computer Science 2021-02-09 Qinghua Liu , Tiancheng Yu , Yu Bai , Chi Jin

Selecting the combination of security controls that will most effectively protect a system's assets is a difficult task. If the wrong controls are selected, the system may be left vulnerable to cyber-attacks that can impact the…

Cryptography and Security · Computer Science 2024-10-31 Dylan Léveillé , Jason Jaskolka

We consider Markov decision processes (MDPs) which are a standard model for probabilistic systems. We focus on qualitative properties for MDPs that can express that desired behaviors of the system arise almost-surely (with probability 1) or…

Logic in Computer Science · Computer Science 2014-05-06 Krishnendu Chatterjee , Martin Chmelik , Przemyslaw Daca

Control of multi-agent systems via game theory is investigated. Assume a system level object is given, the utility functions for individual agents are designed to convert a multi-agent system into a potential game. First, for fixed…

Optimization and Control · Mathematics 2016-08-02 Ting Liu , Jinhuan Wang , Daizhan Cheng

We present a perspective on quantum games that focuses on the physical aspects of the quantities that are used to implement a game. If a game is to be played, it has to be played with objects and actions that have some physical existence.…

Quantum Physics · Physics 2012-02-23 Simon J. D. Phoenix , Faisal Shah Khan

In the context of industrially mass-manufactured products, quality management is based on physically inspecting a small sample from a large batch and reasoning about the batch's quality conformance. When complementing physical inspections…

Applications · Statistics 2024-02-22 Simon Cramer , Tobias Müller , Robert H. Schmitt

We construct a financial "Turing test" to determine whether human subjects can differentiate between actual vs. randomized financial returns. The experiment consists of an online video-game (http://arora.ccs.neu.edu) where players are…

General Finance · Quantitative Finance 2010-02-26 Jasmina Hasanhodzic , Andrew W. Lo , Emanuele Viola

In this paper, we present a novel approach to the generation of virtual scenarios of multivariate financial data of arbitrary length and composition of assets. With this approach, decades of realistic time-synchronized data can be simulated…

Computational Finance · Quantitative Finance 2018-02-07 Javier Franco-Pedroso , Joaquin Gonzalez-Rodriguez , Jorge Cubero , Maria Planas , Rafael Cobo , Fernando Pablos

This paper offers a survey of uppaalsmc, a major extension of the real-time verification tool uppaal. uppaalsmc allows for the efficient analysis of performance properties of networks of priced timed automata under a natural stochastic…

Logic in Computer Science · Computer Science 2012-07-06 Peter Bulychev , Alexandre David , Kim Gulstrand Larsen , Marius Mikučionis , Danny Bøgsted Poulsen , Axel Legay , Zheng Wang
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