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We study the approximability of two related problems on graphs with $n$ nodes and $m$ edges: $n$-Pairs Shortest Paths ($n$-PSP), where the goal is to find a shortest path between $O(n)$ prespecified pairs, and All Node Shortest Cycles…

Data Structures and Algorithms · Computer Science 2022-09-21 Mina Dalirrooyfard , Ce Jin , Virginia Vassilevska Williams , Nicole Wein

Algorithms with predictions have attracted much attention in the last years across various domains, including variants of facility location, as a way to surpass traditional worst-case analyses. We study the $k$-facility location mechanism…

Computer Science and Game Theory · Computer Science 2024-03-20 Zohar Barak , Anupam Gupta , Inbal Talgam-Cohen

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

Computer Science and Game Theory · Computer Science 2024-08-05 Ankang Sun , Bo Chen

Apart from the principles and methodologies inherited from Economics and Game Theory, the studies in Algorithmic Mechanism Design typically employ the worst-case analysis and approximation schemes of Theoretical Computer Science. For…

Computer Science and Game Theory · Computer Science 2017-12-15 Jie Zhang

The Student-Project Allocation problem with lecturer preferences over Students (SPA-S) comprises three sets of agents, namely students, projects and lecturers, where students have preferences over projects and lecturers have preferences…

Data Structures and Algorithms · Computer Science 2020-09-08 Frances Cooper , David Manlove

Strategy-proof mechanisms are widely used in market design. In an abstract allocation framework where outside options are available to agents, we obtain two results for strategy-proof mechanisms. They provide a unified foundation for…

Theoretical Economics · Economics 2021-01-05 Jun Zhang

System state estimation constitutes a key problem in several applications involving multi-agent system architectures. This rests upon the estimation of the state of each agent in the group, which is supposed to access only relative…

Systems and Control · Electrical Eng. & Systems 2021-07-16 Marco Fabris , Giulia Michieletto , Angelo Cenedese

One-sided matching mechanisms are fundamental for assigning a set of indivisible objects to a set of self-interested agents when monetary transfers are not allowed. Two widely-studied randomized mechanisms in multiagent settings are the…

Computer Science and Game Theory · Computer Science 2017-03-02 Hadi Hosseini , Kate Larson , Robin Cohen

In the facility location problem, the task is to place one or more facilities so as to minimize the sum of the agent costs for accessing their nearest facility. Heretofore, in the strategic version, agent locations have been assumed to be…

Computer Science and Game Theory · Computer Science 2025-05-26 Richard Cole , Pranav Jangir

We consider a selfish variant of the knapsack problem. In our version, the items are owned by agents, and each agent can misrepresent the set of items she owns---either by avoiding reporting some of them (understating), or by reporting…

Computer Science and Game Theory · Computer Science 2016-03-01 Itai Feigenbaum , Matthew P. Johnson

We investigate the problem of designing randomized obviously strategy-proof (OSP) mechanisms in several canonical auction settings. Obvious strategy-proofness, introduced by Li [American Economic Review, 2017], strengthens the well-known…

Computer Science and Game Theory · Computer Science 2025-02-18 Shiri Ron , Daniel Schoepflin

We consider the fundamental scenario where a single item is to be sold to one of two agents. Both agents draw their valuation for the item from the same probability distribution. However, only one of them submits a bid to the mechanism. The…

Computer Science and Game Theory · Computer Science 2025-08-26 Ioannis Caragiannis , Georgios Kalantzis

Facility location is fundamental in operations research, mechanism design, and algorithmic game theory, with applications ranging from urban infrastructure planning to distributed systems. Recent research in this area has focused on…

Data Structures and Algorithms · Computer Science 2025-07-15 Yangguang Shi , Zhenyu Xue

The goal of scenario reduction is to approximate a given discrete distribution with another discrete distribution that has fewer atoms. We distinguish continuous scenario reduction, where the new atoms may be chosen freely, and discrete…

Optimization and Control · Mathematics 2017-01-17 Napat Rujeerapaiboon , Kilian Schindler , Daniel Kuhn , Wolfram Wiesemann

In this paper, we propose a constrained heterogeneous facility location model where a set of alternative locations are feasible for building facilities and the number of facilities built at each location is limited. Supposing that a set of…

Computer Science and Game Theory · Computer Science 2022-07-08 Qi Zhao , Wenjing Liu , Qizhi Fang , Qingqin Nong

We study a constrained distributed heterogeneous two-facility location problem, where a set of agents with private locations on the real line are divided into disjoint groups. The constraint means that the facilities can only be built in a…

Computer Science and Game Theory · Computer Science 2025-08-12 Xinru Xu , Wenjing Liu , Qizhi Fang

We consider the obnoxious facility location problem (in which agents prefer the facility location to be far from them) and propose a hierarchy of distance-based proportional fairness concepts for the problem. These fairness axioms ensure…

Computer Science and Game Theory · Computer Science 2024-11-08 Alexander Lam , Haris Aziz , Bo Li , Fahimeh Ramezani , Toby Walsh

An important feature of many real world facility location problems are capacity limits on the facilities. We show here how capacity constraints make it harder to design strategy proof mechanisms for facility location, but…

Artificial Intelligence · Computer Science 2020-09-18 Toby Walsh

Our work is devoted to the metric facility location problem and addresses the selfish behavior of the players. It contributes to the line of work initiated by Procaccia and Tennenholtz [EC09] on approximate mechanism design without money.…

Computer Science and Game Theory · Computer Science 2012-02-10 Nick Gravin , Dominik Scheder

We study the problem of truthfully scheduling $m$ tasks to $n$ selfish unrelated machines, under the objective of makespan minimization, as was introduced in the seminal work of Nisan and Ronen [STOC'99]. Closing the current gap of…

Computer Science and Game Theory · Computer Science 2020-07-08 Yiannis Giannakopoulos , Alexander Hammerl , Diogo Poças