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Traditional bulk load flexibility options, such as load shifting and load curtailment, for managing uncertainty in power markets limit the diversity of options and ignore the preferences of the individual loads, thus reducing efficiency and…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Majid Majidi , Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

In this paper we consider a class of interacting particle systems on dynamic random networks, in which the joint dynamics of vertices and edges acts as one-way feedback, i.e., edges appear and disappear over time depending on the state of…

Probability · Mathematics 2025-11-06 Simone Baldassarri , Jiesen Wang

Caseworkers in foster care systems match waiting children to adoptive homes. We use dynamic matching market design to characterize a class of mechanisms that incentivize expedient matches that homes can accept or decline. We design…

Theoretical Economics · Economics 2025-08-18 Terence Highsmith

We propose a recursive logit model which captures the notion of choice aversion by imposing a penalty term that accounts for the dimension of the choice set at each node of the transportation network. We make three contributions. First, we…

Econometrics · Economics 2021-10-19 Austin Knies , Jorge Lorca , Emerson Melo

We study the effects of conformity, the tendency of humans to imitate locally common behaviors, in the evolution of cooperation when individuals occupy the vertices of a graph and engage in the one-shot Prisoner's Dilemma or the Snowdrift…

Physics and Society · Physics 2010-11-24 Jorge Pena , Henri Volken , Enea Pestelacci , Marco Tomassini

This paper considers ideal gas-like models of trading markets, where each agent is identified as a gas molecule that interacts with others trading in elastic or money-conservative collisions. Traditionally, these models introduce different…

Trading and Market Microstructure · Quantitative Finance 2009-04-03 C. Pellicer-Lostao , R. Lopez-Ruiz

In a stable matching setting, we consider a query model that allows for an interactive learning algorithm to make precisely one type of query: proposing a matching, the response to which is either that the proposed matching is stable, or a…

Computer Science and Game Theory · Computer Science 2020-09-22 Ehsan Emamjomeh-Zadeh , Yannai A. Gonczarowski , David Kempe

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kartik Anand , Tobias Galla

Two main procedures characterize the way in which social actors evaluate the qualities of the options in decision-making processes: they either seek to evaluate their intrinsic qualities (individual learners), or they rely on the opinion of…

Physics and Society · Physics 2024-07-31 Arkadiusz Jędrzejewski , Laura Hernández

Recommender systems are used in variety of domains affecting people's lives. This has raised concerns about possible biases and discrimination that such systems might exacerbate. There are two primary kinds of biases inherent in recommender…

Information Retrieval · Computer Science 2018-09-25 Golnoosh Farnadi , Pigi Kouki , Spencer K. Thompson , Sriram Srinivasan , Lise Getoor

We consider a matching system where items arrive one by one at each node of a compatibility network according to Poisson processes and depart from it as soon as they are matched to a compatible item. The matching policy considered is a…

Probability · Mathematics 2020-11-10 Matthieu Jonckheere , Pascal Moyal , Claudia Ramírez , Nahuel Soprano-Loto

We study the statistical distribution of the closest encounter between generic smooth observations computed along different trajectories of a rapidly mixing dynamical system. At the limit of large trajectories, we obtain a distribution of…

Chaotic Dynamics · Physics 2022-08-31 Theophile Caby

We introduce a model for the emergence of innovations, in which cognitive processes are described as random walks on the network of links among ideas or concepts, and an innovation corresponds to the first visit of a node. The transition…

Physics and Society · Physics 2018-01-25 Iacopo Iacopini , Staša Milojević , Vito Latora

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt

We present a general framework for modeling a wide selection of flocking scenarios under free boundary conditions. Several variants have been considered - including examples for the widely observed behavior of hierarchically interacting…

Physics and Society · Physics 2019-04-23 Yongnan Jia , Tamas Vicsek

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

Statistics Theory · Mathematics 2019-09-04 Toby Kenney

Arguments inspired by algorithmic information theory predict an inverse relation between the probability and complexity of output patterns in a wide range of input-output maps. This phenomenon is known as \emph{simplicity bias}. By viewing…

Dynamical Systems · Mathematics 2024-05-14 Kamaludin Dingle , Mohammad Alaskandarani , Boumediene Hamzi , Ard A. Louis

Motivated by a general principle governing regulation mechanisms in biological cells, we investigate a general interaction scheme between different populations of particles and specific particles, referred to as agents. Assuming that each…

Probability · Mathematics 2023-10-10 Vincent Fromion , Philippe Robert , Jana Zaherddine

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward