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We consider the problem of determining whether a target item assignment can be reached from an initial item assignment by a sequence of pairwise exchanges of items between agents. In particular, we consider the situation where each agent…

计算机科学与博弈论 · 计算机科学 2022-09-22 Takehiro Ito , Naonori Kakimura , Naoyuki Kamiyama , Yusuke Kobayashi , Yuta Nozaki , Yoshio Okamoto , Kenta Ozeki

We develop a method using parameterized linear equations to define trading mechanisms in market design models. Our method adeptly addresses challenges arising from factors such as complex endowments or coarse priorities, while offering…

理论经济学 · 经济学 2025-08-18 Jingsheng Yu , Jun Zhang

Allocating indivisible items among a set of agents is a frequently studied discrete optimization problem. In the setting considered in this work, the agents' preferences over the items are assumed to be identical. We consider a very recent…

计算机科学与博弈论 · 计算机科学 2025-09-08 Nina Chiarelli , Clément Dallard , Andreas Darmann , Stefan Lendl , Martin Milanič , Peter Muršič , Ulrich Pferschy

The problem of fairly allocating a set of indivisible items is a well-known challenge in the field of (computational) social choice. In this scenario, there is a fundamental incompatibility between notions of fairness (such as envy-freeness…

计算机科学与博弈论 · 计算机科学 2023-12-21 Ayumi Igarashi , Martin Lackner , Oliviero Nardi , Arianna Novaro

Hedonic games model settings in which a set of agents have to be partitioned into groups which we call coalitions. In the enemy aversion model, each agent has friends and enemies, and an agent prefers to be in a coalition with as few…

计算机科学与博弈论 · 计算机科学 2025-02-20 Martin Durand , Laurin Erlacher , Johanne Müller Vistisen , Sofia Simola

We consider the problem of sharing a set of indivisible goods among agents in a fair manner, namely such that the allocation is envy-free up to any good (EFX). We focus on the problem of computing an EFX allocation in the two-agent case and…

计算机科学与博弈论 · 计算机科学 2023-07-18 Paul W. Goldberg , Kasper Høgh , Alexandros Hollender

We study a simple exchange model in which price is fixed and the amount of a good transferred between actors depends only on the actors' respective budgets and the existence of a link between transacting actors. The model induces a…

交易与市场微观结构 · 定量金融 2010-02-26 Vitus J. Leung , Randall A. LaViolette

The successive and the amendment procedures have been widely employed in parliamentary and legislative decision making and have undergone extensive study in the literature from various perspectives. However, investigating them through the…

计算机科学与博弈论 · 计算机科学 2025-03-19 Yongjie Yang

We study the problem of fairly allocating a set of indivisible goods among $n$ agents with additive valuations. Envy-freeness up to any good (EFX) is arguably the most compelling fairness notion in this context. However, the existence of…

计算机科学与博弈论 · 计算机科学 2021-03-04 Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn , Ruta Mehta , Pranabendu Misra

Challenge the champ tournaments are one of the simplest forms of competition, where a (initially selected) champ is repeatedly challenged by other players. If a player beats the champ, then that player is considered the new (current) champ.…

数据结构与算法 · 计算机科学 2024-03-27 Juhi Chaudhary , Hendrik Molter , Meirav Zehavi

The Integer Multicommodity Flow problem has been studied extensively in the literature. However, from a parameterised perspective, mostly special cases, such as the Disjoint Paths problem, have been considered. Therefore, we investigate the…

离散数学 · 计算机科学 2023-10-24 Hans L. Bodlaender , Isja Mannens , Jelle J. Oostveen , Sukanya Pandey , Erik Jan van Leeuwen

We consider the problem of assigning tasks to agents under time conflicts, with applications also to frequency allocations in point-to-point wireless networks. In particular, we are given a set $V$ of $n$ agents, a set $E$ of $m$ tasks, and…

离散数学 · 计算机科学 2020-09-01 Alessandro Aloisio , Vahan Mkrtchyan

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

计算机科学与博弈论 · 计算机科学 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

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

We investigate the portfolio execution problem under a framework in which volatility and liquidity are both uncertain. In our model, we assume that a multidimensional Markovian stochastic factor drives both of them. Moreover, we model…

数理金融 · 定量金融 2023-08-08 Max O. Souza , Yuri Thamsten

We settle the parameterized complexities of several variants of independent set reconfiguration and dominating set reconfiguration, parameterized by the number of tokens. We show that both problems are XL-complete when there is no limit on…

计算复杂性 · 计算机科学 2023-10-24 Hans L. Bodlaender , Carla Groenland , Céline M. F. Swennenhuis

\textit{Fair division} of resources among competing agents is a fundamental problem in computational social choice and economic game theory. It has been intensively studied on various kinds of items (\textit{divisible} and…

计算机科学与博弈论 · 计算机科学 2023-10-03 Harmender Gahlawat , Meirav Zehavi

We introduce a dynamic mechanism design problem in which the designer wants to offer for sale an item to an agent, and another item to the same agent at some point in the future. The agent's joint distribution of valuations for the two…

计算机科学与博弈论 · 计算机科学 2023-05-22 Christos Papadimitriou , George Pierrakos , Christos-Alexandros Psomas , Aviad Rubinstein

We study the approximation of high-dimensional rank one tensors using point evaluations and consider deterministic as well as randomized algorithms. We prove that for certain parameters (smoothness and norm of the $r$th derivative) this…

数值分析 · 数学 2014-12-03 Erich Novak , Daniel Rudolf

We study a simple exchange market, introduced by Gourv\'{e}s, Lesca and Wilczynski (IJCAI-17), where every agent initially holds a single object. The agents have preferences over the objects, and two agents may swap their objects if they…

数据结构与算法 · 计算机科学 2019-05-13 Matthias Bentert , Jiehua Chen , Vincent Froese , Gerhard J. Woeginger