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This paper studies models for Autonomous Micromobility-on-Demand (AMoD), a paradigm in which a fleet of autonomous vehicles delivers mobility services on demand in conjunction with micromobility systems. Specifically, we introduce a network…

Systems and Control · Electrical Eng. & Systems 2025-04-02 S. J. Abbasi Koumleh , Fabio Paparella

Tandem queueing systems are widely-used stochastic models that arise from many real-life service operations systems. Motivated by the desire to understand the trade-off between the performance and complexity of policies for…

Optimization and Control · Mathematics 2018-04-25 Tonghoon Suk , Xinchang Wang

In ridesharing platforms such as Uber and Lyft, it is observed that drivers sometimes collaboratively go offline when the price is low, and then return after the price has risen due to the perceived lack of supply. This collective strategy…

Computer Science and Game Theory · Computer Science 2022-02-16 Chenkai Yu , Hongyao Ma , Adam Wierman

Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been…

Trading and Market Microstructure · Quantitative Finance 2017-02-22 Alan Roncoroni , Matus Medo

We study the equilibrium behavior in a multi-commodity selfish routing game with many types of uncertain users where each user over- or under-estimates their congestion costs by a multiplicative factor. Surprisingly, we find that…

Computer Science and Game Theory · Computer Science 2018-01-12 Shreyas Sekar , Liyuan Zheng , Lillian J. Ratliff , Baosen Zhang

In this paper, we propose an online-matching-based model to study the assignment problems arising in a wide range of online-matching markets, including online recommendations, ride-hailing platforms, and crowdsourcing markets. It features…

Computer Science and Game Theory · Computer Science 2022-09-19 Pan Xu

Mobility-On-Demand (MoD) services have been transforming the urban mobility ecosystem. However, they raise a lot of concerns for their impact on congestion, Vehicle Miles Travelled (VMT), and competition with transit. There are also…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Zhenliang Ma , Haris N. Koutsopoulos

We study transportation networks controlled by dynamic feedback tolls. We focus on a multiscale model whereby the dynamics of the traffic flows are intertwined with those of the routing choices. The latter are influenced by the current…

Dynamical Systems · Mathematics 2020-10-20 Giacomo Como , Rosario Maggistro

In a Shared Mobility on Demand Service (SMoDS), dynamic pricing plays an important role in the form of an incentive for the decision of the empowered passenger on the ride offer. Strategies for determining the dynamic tariff should be…

Optimization and Control · Mathematics 2020-07-06 Yue Guan , Anuradha M. Annaswamy , H. Eric Tseng

Traffic management by applying congestion pricing is a measure for mitigating congestion in protected city corridors. As a promising tool, pricing improves the level of service in a network and reduces travel delays. However, real-world…

Robotics · Computer Science 2021-12-14 Alexander Genser , Anastasios Kouvelas

I develop a continuous-time model in which an incumbent batch-service provider faces stochastic passenger arrivals and must decide when to dispatch under the threat of customer defection to a faster entrant. The incumbent's problem is…

Theoretical Economics · Economics 2025-05-28 Md Mahadi Hasan

Modern online platforms such as marketplaces, ride-hailing services, and food-delivery systems serve a dual role: they are both markets where participants interact and transact, and operators that design and govern how these markets…

Computer Science and Game Theory · Computer Science 2026-05-11 Gary Qiurui Ma

This paper analyzes a class of Stackelberg games where different actors compete for shared resources and a central authority tries to balance the demand through a pricing mechanism. Situations like this can for instance occur when fleet…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

We find an approximate Nash equilibrium in a game between decentralized exchanges (DEXs) that compete for order flow by setting dynamic trading fees. We characterize the equilibrium via a coupled system of partial differential equations and…

Mathematical Finance · Quantitative Finance 2026-03-11 Leonardo Baggiani , Martin Herdegen , Leandro Sanchez-Betancourt

Operators of Electric Autonomous Mobility-on-Demand (E-AMoD) fleets need to make several real-time decisions such as matching available vehicles to ride requests, rebalancing idle vehicles to areas of high demand, and charging vehicles to…

Systems and Control · Electrical Eng. & Systems 2024-08-21 Aaryan Singhal , Daniele Gammelli , Justin Luke , Karthik Gopalakrishnan , Dominik Helmreich , Marco Pavone

We consider a network pricing game on a parallel network with congestion effects in which link owners set tolls for travel so as to maximize profit. A central authority is able to regulate this competition by means of a (uniform) price cap.…

Computer Science and Game Theory · Computer Science 2019-02-14 Tobias Harks , Marc Schroder , Dries Vermeulen

This paper focuses on the operation of an electricity market that accounts for participants that bid at a sub-minute timescale. To that end, we model the market-clearing process as a dynamical system, called market dynamics, which is…

Optimization and Control · Mathematics 2021-12-14 Pengcheng You , Yan Jiang , Enoch Yeung , Dennice F. Gayme , Enrique Mallada

In this paper, we consider revenue maximization problem for a two server system in the presence of heterogeneous customers. We assume that the customers differ in their cost for unit delay and this is modeled as a continuous random variable…

Computer Science and Game Theory · Computer Science 2016-05-24 Tejas Bodas , D. Manjunath

This paper studies congestion-aware route-planning policies for Autonomous Mobility-on-Demand (AMoD) systems, whereby a fleet of autonomous vehicles provides on-demand mobility under mixed traffic conditions. Specifically, we first devise a…

Systems and Control · Electrical Eng. & Systems 2020-03-11 Salomón Wollenstein-Betech , Arian Houshmand , Mauro Salazar , Marco Pavone , Christos G. Cassandras , Ioannis Ch. Paschalidis

We propose a dynamical model of price formation on a spatial market where sellers and buyers are placed on the nodes of a graph, and the distribution of the buyers depends on the positions and prices of the sellers. We find that, depending…

Physics and Society · Physics 2022-11-15 Andrea Civilini , Vito Latora
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