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The classic cake-cutting problem provides a model for addressing fair and efficient allocation of a divisible, heterogeneous resource (metaphorically, the cake) among agents with distinct preferences. Focusing on a standard formulation of…

Computer Science and Game Theory · Computer Science 2021-05-21 Eshwar Ram Arunachaleswaran , Siddharth Barman , Rachitesh Kumar , Nidhi Rathi

We investigate whether fairness is compatible with efficiency in economies with multi-self agents, who may not be able to integrate their multiple objectives into a single complete and transitive ranking. We adapt envy-freeness,…

Theoretical Economics · Economics 2022-04-15 Sophie Bade , Erel Segal-Halevi

The problem of efficient resource allocation has drawn significant attention in many scientific disciplines due to its direct societal benefits, such as energy savings. Traditional approaches in addressing online resource allocation…

Systems and Control · Computer Science 2019-04-26 Georgios Chasparis

In this paper, we introduce a new variant of the $p$-median facility location problem in which it is assumed that the exact location of the potential facilities is unknown. Instead, each of the facilities must be located in a region around…

Optimization and Control · Mathematics 2017-10-24 Víctor Blanco

We study fair mechanisms for the classic job scheduling problem on unrelated machines with the objective of minimizing the makespan. This problem is equivalent to minimizing the egalitarian social cost in the fair division of chores. The…

Computer Science and Game Theory · Computer Science 2024-12-12 Michal Feldman , Jugal Garg , Vishnu V. Narayan , Tomasz Ponitka

In this work, we solve the problem of finding the best locations to place stations for depositing/collecting shared bicycles. To do this, we model the problem as the p-median problem, that is a major existing localization problem in…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Christian Cintrano , Francisco Chicano , Enrique Alba

For most developing countries, increasing the equalization of basic public services is widely recognized as an effective channel to improve people's sense of contentment. However, for many emerging economies like China, the equalization…

General Economics · Economics 2024-01-15 Shengwen Shi , Jian'an Zhang

We propose a notion of fairness for allocation problems in which different agents may have different reservation utilities, stemming from different outside options, or property rights. Fairness is usually understood as the absence of envy,…

Theoretical Economics · Economics 2020-05-12 Federico Echenique , Antonio Miralles , Jun Zhang

We study a fair resource sharing problem, where a set of resources are to be shared among a group of agents. Each agent demands one resource and each resource can serve a limited number of agents. An agent cares about what resource they get…

Computer Science and Game Theory · Computer Science 2023-07-14 Jiarui Gan , Bo Li , Yingkai Li

We study a fair resource scheduling problem, where a set of interval jobs are to be allocated to heterogeneous machines controlled by agents. Each job is associated with release time, deadline, and processing time such that it can be…

Computer Science and Game Theory · Computer Science 2022-01-03 Bo Li , Minming Li , Ruilong Zhang

Explore-and-exploit tradeoffs play a key role in recommendation systems (RSs), aiming at serving users better by learning from previous interactions. Despite their commercial success, the societal effects of explore-and-exploit mechanisms…

Computer Science and Game Theory · Computer Science 2025-02-19 Omer Ben-Porat , Yotam Gafni , Or Markovetzki

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

Computer Science and Game Theory · Computer Science 2026-03-09 Yasushi Kawase , Ryoga Mahara

Efficient and equitable access to essential services, such as healthcare, food, and education, is an important goal in urban planning, public policy, and transport logistics. However, existing facility location models often do not scale…

Optimization and Control · Mathematics 2025-10-01 Drew Horton , Tom Logan , Joshua Murrell , Daphne Skipper , Emily Speakman

Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount of time which is due both to the travel time to the service…

Optimization and Control · Mathematics 2008-11-13 Gianluca Crippa , Chloé Jimenez , Aldo Pratelli

Locational measures of accessibility are widely used in urban and transportation planning to understand the impact of the transportation system on influencing people's access to places. However, there is a considerable lack of measurement…

Econometrics · Economics 2024-04-09 Rajat Verma , Mithun Debnath , Shagun Mittal , Satish V. Ukkusuri

We initiate the study of fair distribution of delivery tasks among a set of agents wherein delivery jobs are placed along the vertices of a graph. Our goal is to fairly distribute delivery costs (modeled as a submodular function) among a…

Computer Science and Game Theory · Computer Science 2025-06-23 Hadi Hosseini , Shivika Narang , Tomasz Wąs

This paper proposes a bilevel transit network design problem considering supply side uncertainty. The upper level problem determines frequency settings to simultaneously maximize the efficiency and equity measures, which are defined by the…

Physics and Society · Physics 2020-05-06 Yu Jiang

Facility location problems aim to identify the best locations to set up new services. Majority of the existing works typically assume that the users are static. However, there exists a wide array of services such as fuel stations, ATMs,…

Databases · Computer Science 2019-08-05 Shubhadip Mitra , Priya Saraf , Arnab Bhattacharya

The facility location problem is a well-known challenge in logistics that is proven to be NP-hard. In this paper we specifically simulate the geographical placement of facilities to provide adequate service to customers. Determining…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

Data Structures and Algorithms · Computer Science 2016-08-23 Karen Aardal , Pierre Le Bodic