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Consider a service system where incoming tasks are instantaneously dispatched to one out of many heterogeneous server pools. Associated with each server pool is a concave utility function which depends on the class of the server pool and…

Probability · Mathematics 2024-02-13 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

We consider a double-auction mechanism, which was recently proposed in the context of rate allocation in mobile data-offloading markets. Network operators (users) derive benefit from offloading their traffic to third party WiFi or femtocell…

Networking and Internet Architecture · Computer Science 2021-02-10 K P Naveen , Rajesh Sundaresan

This paper studies self-sustained dynamic multiagent systems (MAS) for decentralized resource allocation operating at a competitive equilibrium over a finite horizon. The utility of resource consumption, along with the income from resource…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

We study the two-sided stable matching problem with one-sided uncertainty for two sets of agents A and B, with equal cardinality. Initially, the preference lists of the agents in A are given but the preferences of the agents in B are…

Data Structures and Algorithms · Computer Science 2024-07-16 Evripidis Bampis , Konstantinos Dogeas , Thomas Erlebach , Nicole Megow , Jens Schlöter , Amitabh Trehan

In the recently introduced model of fair partitioning of friends, there is a set of agents located on the vertices of an underlying graph that indicates the friendships between the agents. The task is to partition the graph into $k$…

Computer Science and Game Theory · Computer Science 2025-03-17 Argyrios Deligkas , Eduard Eiben , Stavros D. Ioannidis , Dušan Knop , Šimon Schierreich

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

In this paper, we study a truthful two-obnoxious-facility location problem, in which each agent has a private location in [0, 1] and a public optional preference over two obnoxious facilities, and there is a minimum distance constraint d…

Computer Science and Game Theory · Computer Science 2025-08-12 Xiaojia Han , Wenjing Liu , Qizhi Fang

In many on-demand online platforms such as ride-sharing, grocery delivery, or shipping, some arriving agents are patient and willing to wait a short amount of time for the resource or service as long as there is an upfront guarantee that…

Data Structures and Algorithms · Computer Science 2023-10-24 Negin Golrezaei , Evan Yao

We study competitive location problems in a continuous setting, in which facilities have to be placed in a rectangular domain $R$ of normalized dimensions of $1$ and $\rho\geq 1$, and distances are measured according to the Manhattan…

Computational Geometry · Computer Science 2022-09-07 Thomas Byrne , Sándor P. Fekete , Jörg Kalcsics , Linda Kleist

A two-sided market consists of two sets of agents, each of whom have preferences over the other (Airbnb, Upwork, Lyft, Uber, etc.). We propose and analyze a repeated matching problem, where some set of matches occur on each time step, and…

Computer Science and Game Theory · Computer Science 2020-09-22 Sreenivas Gollapudi , Kostas Kollias , Benjamin Plaut

We consider the problem of designing network cost-sharing protocols with good equilibria under uncertainty. The underlying game is a multicast game in a rooted undirected graph with nonnegative edge costs. A set of k terminal vertices or…

Computer Science and Game Theory · Computer Science 2015-07-27 George Christodoulou , Alkmini Sgouritsa

This work studies equilibrium problems under uncertainty where firms maximize their profits in a robust way when selling their output. Robust optimization plays an increasingly important role when best guaranteed objective values are to be…

Optimization and Control · Mathematics 2022-02-24 Christian Biefel , Frauke Liers , Jan Rolfes , Lars Schewe , Gregor Zöttl

Motivated by the impact of emerging technologies on toll parks, this paper studies a problem of equilibrium, social welfare, and revenue for an infinite-server queue. More specifically, we assume that a customer's utility consists of a…

Optimization and Control · Mathematics 2022-12-23 Yan Su

Two-stage electricity market clearing is designed to maintain market efficiency under ideal conditions, e.g., perfect forecast and nonstrategic generation. This work demonstrates that the individual strategic behavior of inelastic load…

Optimization and Control · Mathematics 2019-09-17 Pengcheng You , Dennice F. Gayme , Enrique Mallada

A service system with multiple types of customers, arriving as Poisson processes, is considered. The system has infinite number of servers, ranked by $1,2,3, \ldots$; a server rank is its ``location." Each customer has an independent…

Probability · Mathematics 2025-02-21 Alexander Stolyar

Motivated by applications in online marketplaces such as ride-hailing, we study how strategic servers impact the system performance. We consider a discrete-time process in which, heterogeneous types of customers and servers arrive. Each…

Optimization and Control · Mathematics 2021-06-25 Sushil Mahavir Varma , Francisco Castro , Siva Theja Maguluri

We study a truthful facility location problem where one out of $k\geq2$ available facilities must be built at a location chosen from a set of candidate ones in the interval $[0,1]$. This decision aims to accommodate a set of agents with…

Computer Science and Game Theory · Computer Science 2025-05-07 Panagiotis Kanellopoulos , Alexandros A. Voudouris

Facility location problems often permit facilities to be located at any position. But what if this is not the case in practice? What if facilities can only be located at particular locations like a highway exit or close to a bus stop? We…

Artificial Intelligence · Computer Science 2021-07-22 Toby Walsh

We introduce and study a group formation game in which individuals/agents, driven by self-interest, team up in disjoint groups so as to be in groups of high collective strength. This strength could be group identity, reputation, or…

Computer Science and Game Theory · Computer Science 2021-09-28 Chenlan Wang , Mehrdad Moharrami , Kun Jin , David Kempe , P. Jeffrey Brantingham , Mingyan Liu

Routing games are amongst the most studied classes of games. Their two most well-known properties are that learning dynamics converge to equilibria and that all equilibria are approximately optimal. In this work, we perform a stress test…

Computer Science and Game Theory · Computer Science 2022-01-28 Thiparat Chotibut , Fryderyk Falniowski , Michał Misiurewicz , Georgios Piliouras