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In two-sided matching markets, ensuring both stability and strategy-proofness poses a significant challenge; it is impossible when agents' preferences are unrestricted. But what if agents' preferences have specific restricted structures?…

理论经济学 · 经济学 2025-07-03 Pinaki Mandal

It is required to find an optimal order of constructing the edges of a network so as to minimize the sum of the weighted connection times of relevant pairs of vertices. Construction can be performed anytime anywhere in the network, with a…

数据结构与算法 · 计算机科学 2021-04-20 Igor Averbakh

We study the strong core of housing markets when agents' preferences over houses are expressed as partial orders. We provide a structural characterization of the strong core, and propose an efficient algorithm that finds an allocation in…

计算机科学与博弈论 · 计算机科学 2025-02-10 Ildikó Schlotter , Lydia Mirabel Mendoza-Cadena

An instance $I$ of the Stable Matching Problem (SMP) is given by a bipartite graph with a preference list of neighbors for every vertex. A swap in $I$ is the exchange of two consecutive vertices in a preference list. A swap can be viewed as…

数据结构与算法 · 计算机科学 2022-11-16 Eduard Eiben , Gregory Gutin , Philip R. Neary , Clément Rambaud , Magnus Wahlström , Anders Yeo

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

数据结构与算法 · 计算机科学 2025-08-05 Garret Castro

We study an abstract optimal auction problem for a single good or service. This problem includes environments where agents have budgets, risk preferences, or multi-dimensional preferences over several possible configurations of the good…

计算机科学与博弈论 · 计算机科学 2012-03-23 Saeed Alaei , Hu Fu , Nima Haghpanah , Jason Hartline , Azarakhsh Malekian

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…

计算机科学与博弈论 · 计算机科学 2024-08-05 Ankang Sun , Bo Chen

In this work, we revisit the problem of fairly allocating a number of indivisible items that are located on a line to multiple agents. A feasible allocation requires that the allocated items to each agent are connected on the line. The…

计算机科学与博弈论 · 计算机科学 2022-05-24 Ankang Sun , Bo Li

The fair allocation of mixed goods, consisting of both divisible and indivisible goods, has been a prominent topic of study in economics and computer science. We define an allocation as fair if its utility vector minimizes a symmetric…

计算机科学与博弈论 · 计算机科学 2024-07-10 Yasushi Kawase , Koichi Nishimura , Hanna Sumita

In this paper we consider a defending problem on a network. In the model, the defender holds a total defending resource of R, which can be distributed to the nodes of the network. The defending resource allocated to a node can be shared by…

计算机科学与博弈论 · 计算机科学 2019-11-20 Minming Li , Long Tran-Thanh , Xiaowei Wu

In two-sided matching markets, the agents are partitioned into two sets. Each agent wishes to be matched to an agent in the other set and has a strict preference over these potential matches. A matching is stable if there are no blocking…

计算机科学与博弈论 · 计算机科学 2013-02-26 Georgios Askalidis , Nicole Immorlica , Emmanouil Pountourakis

Consider a barter exchange problem over a finite set of agents, where each agent owns an item and is also associated with a (privately known) wish list of items belonging to the other agents. An outcome of the problem is a (re)allocation of…

计算机科学与博弈论 · 计算机科学 2024-10-10 Yuval Emek , Matan-El Shpiro

We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

离散数学 · 计算机科学 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer

We consider the problem of collectively delivering some message from a specified source to a designated target location in a graph, using multiple mobile agents. Each agent has a limited energy which constrains the distance it can move.…

We consider the problem of fairly dividing a set of heterogeneous divisible resources among agents with different preferences. We focus on the setting where the resources correspond to the edges of a connected graph, every agent must be…

数据结构与算法 · 计算机科学 2023-12-13 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Thekla Hamm , Sebastian Ordyniak

We introduce a new family of mechanisms for one-sided matching markets, denoted pick-an-object (PAO) mechanisms. When implementing an allocation rule via PAO, agents are asked to pick an object from individualized menus. These choices may…

理论经济学 · 经济学 2023-02-07 Inácio Bó , Rustamdjan Hakimov

In barter exchanges agents enter seeking to swap their items for other items on their wishlist. We consider a centralized barter exchange with a set of agents and items where each item has a positive value. The goal is to compute a…

数据结构与算法 · 计算机科学 2024-06-21 Juan Luque , Sharmila Duppala , John Dickerson , Aravind Srinivasan

The problem of fair division of indivisible goods is a fundamental problem of social choice. Recently, the problem was extended to the case when goods form a graph and the goal is to allocate goods to agents so that each agent's bundle…

社会与信息网络 · 计算机科学 2019-05-13 Zbigniew Lonc , Miroslaw Truszczynski

The class of assignment problems is a fundamental and well-studied class in the intersection of Social Choice, Computational Economics and Discrete Allocation. In a general assignment problem, a group of agents expresses preferences over a…

数据结构与算法 · 计算机科学 2021-05-25 Barak Steindl , Meirav Zehavi

In the well-studied Stable Roommates problem, we seek a stable matching of agents into pairs, where no two agents prefer each other over their assigned partners. However, some instances of this problem are unsolvable, lacking any stable…

计算机科学与博弈论 · 计算机科学 2025-07-08 Frederik Glitzner , David Manlove