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We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

Computer Science and Game Theory · Computer Science 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari

Dual scattering channel (DSC) schemes generalize Johns' TLM algorithm in replacing transmission lines with abstract scattering channels in terms of paired distributions. A well known merit of TLM schemes is unconditional stability, a…

Numerical Analysis · Mathematics 2025-10-20 Steffen Hein

Motivated by the growing requirements on the operation of complex engineering systems, we present contracts as specifications for continuous-time linear dynamical systems with inputs and outputs. A contract is defined as a pair of…

Dynamical Systems · Mathematics 2021-09-17 B. M. Shali , A. J. van der Schaft , B. Besselink

Static stability in economic models means negative incentives for deviation from equilibrium strategies, which we expect to assure a return to equilibrium, i.e., dynamic stability, as long as agents respond to incentives. There have been…

Optimization and Control · Mathematics 2023-10-13 Dai Zusai

A large literature has documented transitivity as a key feature of social networks: individuals are more likely connected with each other if they share common connections with other individuals. We take this idea to trading relationships…

General Economics · Economics 2025-12-23 Alejandra Martinez , Dennis Novy , Carlo Perroni

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas

An input-output approach to stability analysis is explored for networked systems with uncertain link dynamics. The main result consists of a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Simone Mariano , Michael Cantoni

The blockchain technology provides integrity and reliability of the information, thus offering a suitable solution to guarantee trustability in a multi-stakeholder scenario that involves actors defining business agreements. The Ride2Rail…

Computers and Society · Computer Science 2025-12-08 Mario Scrocca , Marco Comerio , Alessio Carenini , Irene Celino

This study develops and analyzes an optimization model of smart contract adoption under bounded risk, linking structural theory with simulation and real-world validation. We examine how adoption intensity alpha is structurally pinned at a…

General Finance · Quantitative Finance 2025-10-09 Jinho Cha , Long Pham , Thi Le Hoa Vo , Jaeyoung Cho , Jaejin Lee

Various real-life applications, for example, Internet of Things, wireless sensor networks, smart grids, transportation networks, communication networks, social networks, and computer grid systems, are always modeled as network structures.…

Networking and Internet Architecture · Computer Science 2021-11-23 Wei-Chang Yeh

We consider a model of two interdependent networks, where every node in one network depends on one or more supply nodes in the other network and a node fails if it loses all of its supply nodes. We develop algorithms to compute the failure…

Data Structures and Algorithms · Computer Science 2021-11-29 Jianan Zhang , Eytan Modiano

We study conditions for the existence of stable and group-strategy-proof mechanisms in a many-to-one matching model with contracts if students' preferences are monotone in contract terms. We show that "equivalence", properly defined, to a…

Theoretical Economics · Economics 2021-07-13 Jan Christoph Schlegel

It is well known that any sufficiently regular one-dimensional payoff function has an explicit static hedge by bonds, forward contracts and lots of vanilla options. We show that the natural extension of the corresponding representation…

Risk Management · Quantitative Finance 2010-11-23 Michael Schmutz , Thomas Zürcher

Understanding and predicting how complex systems respond to external perturbations is a central challenge in nonequilibrium statistical physics. Here we consider continuous-time Markov networks, which we subject to perturbations along a…

Statistical Mechanics · Physics 2026-02-25 Robin Bebon , Thomas Speck

We study the competition for partners in two-sided matching markets with heterogeneous agent preferences, with a focus on how the equilibrium outcomes depend on the connectivity in the market. We model random partially connected markets,…

Computer Science and Game Theory · Computer Science 2023-01-12 Yash Kanoria , Seungki Min , Pengyu Qian

We show that competitive equilibria in a range of models related to production networks can be recovered as solutions to dynamic programs. Although these programs fail to be contractive, we prove that they are tractable. As an illustration,…

General Economics · Economics 2021-06-01 Tomoo Kikuchi , Kazuo Nishimura , John Stachurski , Junnan Zhang

We consider the martingale optimal transport duality for c\`adl\`ag processes with given initial and terminal laws. Strong duality and existence of dual optimizers (robust semi-static superhedging strategies) are proved for a class of…

Probability · Mathematics 2019-04-10 Sebastian Herrmann , Florian Stebegg

The main result relates to structured robust stability analysis of an input-output model for networks with link uncertainty. It constitutes a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Simone Mariano , Michael Cantoni

Load balancing between adjacent base stations (BSs) is important for balancing load distributions and improving service provisioning. Whilst load balancing between any given pair of BSs is beneficial, cascade load sharing can cause network…

Networking and Internet Architecture · Computer Science 2019-02-27 Giannis Moutsinas , Weisi Guo

Balanced and swap-robust minimal trades, introduced in [1], are important for studying the balance and stability of server access request protocols under data popularity changes. Constructions of such trades have so far relied on paired…

Information Theory · Computer Science 2023-03-24 Jin Sima , Chao Pan , Olgica Milenkovic