English
Related papers

Related papers: Polynomial Time Algorithms to Find an Approximate …

200 papers

We study the fair division of indivisible goods with conflicts between pairs of goods, represented by a graph $G = (V, E)$. We consider ``soft'' conflicts: assigning two adjacent goods to the same agent is allowed, but we seek allocations…

Computer Science and Game Theory · Computer Science 2026-02-25 Hirotaka Yoneda , Masataka Yoneda

The problem of allocating indivisible resources to agents arises in a wide range of domains, including treatment distribution and social support programs. An important goal in algorithm design for this problem is fairness, where the focus…

Computer Science and Game Theory · Computer Science 2026-02-17 Niclas Boehmer , Luca Kreisel

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…

Computer Science and Game Theory · Computer Science 2025-09-08 Nina Chiarelli , Clément Dallard , Andreas Darmann , Stefan Lendl , Martin Milanič , Peter Muršič , Ulrich Pferschy

We study the problem of maximizing constrained non-monotone submodular functions and provide approximation algorithms that improve existing algorithms in terms of either the approximation factor or simplicity. Our algorithms combine…

Data Structures and Algorithms · Computer Science 2016-03-01 Salman Fadaei , MohammadAmin Fazli , MohammadAli Safari

One-sided matching problems with ordinal preferences, such as hostel room allocation, are commonly solved using the Top Trading Cycles (TTC) mechanism, which guarantees Pareto-optimal (PO) outcomes. However, TTC does not yield a unique…

Computer Science and Game Theory · Computer Science 2026-05-14 Bhavik Dodda , Garima Shakya

In this paper we study the approximate learnability of valuations commonly used throughout economics and game theory for the quantitative encoding of agent preferences. We provide upper and lower bounds regarding the learnability of…

Computer Science and Game Theory · Computer Science 2011-09-05 Maria Florina Balcan , Florin Constantin , Satoru Iwata , Lei Wang

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…

Computer Science and Game Theory · Computer Science 2024-07-10 Yasushi Kawase , Koichi Nishimura , Hanna Sumita

We initiate the study of indivisible chore allocation for agents with asymmetric shares. The fairness concept we focus on is the weighted natural generalization of maxmin share: WMMS fairness and OWMMS fairness. We first highlight the fact…

Computer Science and Game Theory · Computer Science 2019-06-19 Haris Aziz , Hau Chan , Bo Li

We consider the Stochastic Boolean Function Evaluation (SBFE) problem in the well-studied case of $k$-of-$n$ functions: There are independent Boolean random variables $x_1,\dots,x_n$ where each variable $i$ has a known probability $p_i$ of…

Data Structures and Algorithms · Computer Science 2025-11-25 Mads Anker Nielsen , Lars Rohwedder , Kevin Schewior

The taxing computational effort that is involved in solving some high-dimensional statistical problems, in particular problems involving non-convex optimization, has popularized the development and analysis of algorithms that run…

Statistics Theory · Mathematics 2020-02-13 Guy Holtzman , Adam Soffer , Dan Vilenchik

We study the problem of stochastic combinatorial pure exploration (CPE), where an agent sequentially pulls a set of single arms (a.k.a. a super arm) and tries to find the best super arm. Among a variety of problem settings of the CPE, we…

Machine Learning · Computer Science 2021-10-26 Yuko Kuroki , Liyuan Xu , Atsushi Miyauchi , Junya Honda , Masashi Sugiyama

This paper is about minimum cost constrained selection of inputs and outputs for generic arbitrary pole placement. The input-output set is constrained in the sense that the set of states that each input can influence and the set of states…

Optimization and Control · Mathematics 2018-01-11 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

We consider the problem of scheduling $n$ jobs on $m$ uniform machines while minimizing the makespan ($Q||C_{\max}$) and maximizing the minimum completion time ($Q||C_{\min}$) in an online setting with migration of jobs. In this online…

Data Structures and Algorithms · Computer Science 2025-08-13 Hauke Brinkop , David Fischer , Klaus Jansen

We consider the SUBSET SUM problem and its important variants in this paper. In the SUBSET SUM problem, a (multi-)set $X$ of $n$ positive numbers and a target number $t$ are given, and the task is to find a subset of $X$ with the maximal…

Data Structures and Algorithms · Computer Science 2022-12-07 Xiaoyu Wu , Lin Chen

A Nash Equilibrium (NE) is a strategy profile resilient to unilateral deviations, and is predominantly used in the analysis of multiagent systems. A downside of NE is that it is not necessarily stable against deviations by coalitions. Yet,…

Computer Science and Game Theory · Computer Science 2014-01-16 Michal Feldman , Tami Tamir

Allocating $m$ indivisible goods among $n$ agents is a fundamental task in fair division. Recent work of Garg and Psomas [AAMAS 2025] initiated the study of parallel algorithms for envy-free up to one good (EF1) allocations, giving NC…

Data Structures and Algorithms · Computer Science 2026-05-19 Kishen N Gowda , D Ellis Hershkowitz , Richard Z Huang , Gregory Kehne

Envy-freeness up to any good (EFX) is a central fairness notion for allocating indivisible goods, yet its existence is unresolved in general. In the setting with few surplus items, where the number of goods exceeds the number of agents by a…

Computer Science and Game Theory · Computer Science 2026-01-21 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

We analyze a goal-oriented adaptive algorithm that aims to efficiently compute the quantity of interest $G(u^\star)$ with a linear goal functional $G$ and the solution $u^\star$ to a general second-order nonsymmetric linear elliptic partial…

Numerical Analysis · Mathematics 2024-11-18 Philipp Bringmann , Maximilian Brunner , Dirk Praetorius , Julian Streitberger

We study the problem of fairly and efficiently allocating indivisible chores among agents with additive disutility functions. We consider the widely-used envy-based fairness properties of EF1 and EFX, in conjunction with the efficiency…

Computer Science and Game Theory · Computer Science 2023-10-17 Jugal Garg , Aniket Murhekar , John Qin

We study the problem of fairly allocating a set of m indivisible chores (items with non-positive value) to n agents. We consider the desirable fairness notion of 1-out-of-d maximin share (MMS) -- the minimum value that an agent can…

Computer Science and Game Theory · Computer Science 2022-01-20 Hadi Hosseini , Andrew Searns , Erel Segal-Halevi