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We consider the distributed optimization problem for a multi-agent system. Here, multiple agents cooperatively optimize an objective by sharing information through a communication network and performing computations. In this tutorial, we…

Optimization and Control · Mathematics 2023-09-21 Bryan Van Scoy , Laurent Lessard

We provide here an epistemic analysis of arbitrary strategic games based on the possibility correspondences. Such an analysis calls for the use of transfinite iterations of the corresponding operators. Our approach is based on Tarski's…

Computer Science and Game Theory · Computer Science 2007-06-08 Krzysztof R. Apt

A prominent application of quantum cryptography is the distribution of cryptographic keys that are provably secure. Recently, such security proofs were extended by Vazirani and Vidick (Physical Review Letters, 113, 140501, 2014) to the…

Quantum Physics · Physics 2020-08-20 Rahul Jain , Carl A. Miller , Yaoyun Shi

In this paper, the problem of distributively seeking the equilibria of aggregative games with bilevel structures is studied. Different from the traditional aggregative games, here the aggregation is determined by the minimizer of a virtual…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Kaihong Lu , Huanshui Zhang , Long Wang

To optimally select a generalized Nash equilibrium, in this paper, we propose a semi-decentralized algorithm based on a double-layer Tikhonov regularization method. Technically, we extend the Tikhonov method for equilibrium selection in…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

The policy iteration method is a classical algorithm for solving optimal control problems. In this paper, we introduce a policy iteration method for Mean Field Games systems, and we study the convergence of this procedure to a solution of…

Analysis of PDEs · Mathematics 2021-07-12 Simone Cacace , Fabio Camilli , Alessandro Goffi

In this paper we prove the Poisson Hypothesis for the limiting behavior of the large queueing systems in some simple ("mean-field") cases. We show in particular that the corresponding dynamical systems, defined by the non-linear Markov…

Mathematical Physics · Physics 2007-05-23 Alexander Rybko , Senya Shlosman

This paper presents a novel approach to analyze human decision-making that involves comparing the behavior of professional chess players relative to a computational benchmark of cognitively bounded rationality. This benchmark is constructed…

General Economics · Economics 2020-12-03 Dainis Zegners , Uwe Sunde , Anthony Strittmatter

We describe here a structured system for distributed mechanism design appropriate for both Intranet and Internet applications. In our approach the players dynamically form a network in which they know neither their neighbours nor the size…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-21 Krzysztof R. Apt , Farhad Arbab , Huiye Ma

Offline runtime verification involves the static analysis of executions of a system against a specification. For distributed systems, it is generally not possible to characterize executions in the form of global traces, given the absence of…

Software Engineering · Computer Science 2024-03-06 Erwan Mahe , Boutheina Bannour , Christophe Gaston , Arnault Lapitre , Pascale Le Gall

Poker is a family of card games that includes many variations. We hypothesize that most poker games can be solved as a pattern matching problem, and propose creating a strong poker playing system based on a unified poker representation. Our…

Artificial Intelligence · Computer Science 2015-09-23 Nikolai Yakovenko , Liangliang Cao , Colin Raffel , James Fan

We prove that zero-sum Dynkin games in continuous time with partial and asymmetric information admit a value in randomised stopping times when the stopping payoffs of the players are general \cadlag measurable processes. As a by-product of…

Probability · Mathematics 2022-06-08 Tiziano De Angelis , Nikita Merkulov , Jan Palczewski

Chore division is the problem of fairly dividing some divisible, undesirable bad, such as a set of chores, among a number of players. Each player has their own valuation of the chores, and must be satisfied they did not receive more than…

Computer Science and Game Theory · Computer Science 2022-04-04 David Francis

We study parity games in which one of the two players controls only a small number $k$ of nodes and the other player controls the $n-k$ other nodes of the game. Our main result is a fixed-parameter algorithm that solves bipartite parity…

Computational Complexity · Computer Science 2015-12-12 Matthias Mnich , Heiko Röglin , Clemens Rösner

Fail-prone systems, and their quorum systems, are useful tools for the design of distributed algorithms. However, fail-prone systems as studied so far require every process to know the full system membership in order to guarantee safety…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-11 Christian Cachin , Giuliano Losa , Luca Zanolini

Collusion occurs when multiple malicious participants of a distributed protocol work together to sabotage or spy on honest participants. Decentralized protocols often rely on a subset of participants called workers for critical operations.…

Cryptography and Security · Computer Science 2022-06-16 Matthieu Bettinger , Lucas Barbero , Omar Hasan

Quantum computers have long been more of a toy for researchers than a tool for solving complex problems. However, recent advances in the field make exploiting the advantages of fault-tolerant quantum computers feasible in the next 5 to 10…

Quantum Physics · Physics 2025-08-14 Daniel Bultrini , James Wootton

Emerging applications in engineering such as crowd-sourcing and (mis)information propagation involve a large population of heterogeneous users or agents in a complex network who strategically make dynamic decisions. In this work, we…

Computer Science and Game Theory · Computer Science 2015-03-30 Yezekael Hayel , Quanyan Zhu

Linearizability is the commonly accepted notion of correctness for concurrent data structures. It requires that any execution of the data structure is justified by a linearization --- a linear order on operations satisfying the data…

Programming Languages · Computer Science 2017-07-07 Artem Khyzha , Mike Dodds , Alexey Gotsman , Matthew Parkinson

Distributed protocols such as Paxos play an important role in many computer systems. Therefore, a bug in a distributed protocol may have tremendous effects. Accordingly, a lot of effort has been invested in verifying such protocols.…

Programming Languages · Computer Science 2017-10-20 Oded Padon , Giuliano Losa , Mooly Sagiv , Sharon Shoham