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Chore division is the problem of fairly dividing some divisible, undesirable bad, such as a set of chores, among a number of players. Each player has their own valuation of the chores, and must be satisfied they did not receive more than…

Computer Science and Game Theory · Computer Science 2022-04-04 David Francis

We study the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

Computer Science and Game Theory · Computer Science 2021-11-24 Neeldhara Misra , Debanuj Nayak

In this paper, we design gross product maximization mechanisms which incentivize users to upload high-quality contents on user-generated-content (UGC) websites. We show that, the proportional division mechanism, which is widely used in…

Computer Science and Game Theory · Computer Science 2019-07-11 Mengjing Chen , Pingzhong Tang , Zihe Wang , Shenke Xiao , Xiwang Yang

When allocating objects among agents with equal rights, people often evaluate the fairness of an allocation rule by comparing their received utilities to a benchmark share - a function only of her own valuation and the number of agents.…

Computer Science and Game Theory · Computer Science 2023-02-02 Bo Li , Hervé Moulin , Ankang Sun , Yu Zhou

We consider the problem of payoff division in indivisible coalitional games, where the value of the grand coalition is a natural number. This number represents a certain quantity of indivisible objects, such as parliamentary seats, kidney…

Computer Science and Game Theory · Computer Science 2026-04-02 Mikołaj Czarnecki , Michał Korniak , Oskar Skibski , Piotr Skowron

We study a participatory budgeting problem, where a set of strategic agents wish to split a divisible budget among different projects, by aggregating their proposals on a single division. Unfortunately, the straight-forward rule that…

Computer Science and Game Theory · Computer Science 2022-03-21 Ioannis Caragiannis , George Christodoulou , Nicos Protopapas

In the recently introduced model of fair partitioning of friends, there is a set of agents located on the vertices of an underlying graph that indicates the friendships between the agents. The task is to partition the graph into $k$…

Computer Science and Game Theory · Computer Science 2025-03-17 Argyrios Deligkas , Eduard Eiben , Stavros D. Ioannidis , Dušan Knop , Šimon Schierreich

We consider a fair division setting where indivisible items are allocated to agents. Each agent in the setting has strictly negative, zero or strictly positive utility for each item. We, thus, make a distinction between items that are good…

Computer Science and Game Theory · Computer Science 2020-05-14 Martin Aleksandrov

We study the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

Computer Science and Game Theory · Computer Science 2025-02-17 George Christodoulou , Vasilis Christoforidis

In an online fair allocation problem, a sequence of indivisible items arrives online and needs to be allocated to offline agents immediately and irrevocably. In our paper, we study the online allocation of either goods or chores. We employ…

Computer Science and Game Theory · Computer Science 2025-09-10 Yuanyuan Wang , Tianze Wei

This paper combines two key ingredients for online algorithms - competitive analysis (e.g. the competitive ratio) and advice complexity (e.g. the number of advice bits needed to improve online decisions) - in the context of a simple online…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We consider the problem of guaranteeing maximin-share (MMS) when allocating a set of indivisible items to a set of agents with fractionally subadditive (XOS) valuations. For XOS valuations, it has been previously shown that for some…

Computer Science and Game Theory · Computer Science 2023-10-24 Hannaneh Akrami , Kurt Mehlhorn , Masoud Seddighin , Golnoosh Shahkarami

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

Theoretical Economics · Economics 2020-08-27 Alex Suzdaltsev

We study fair resource allocation with strategic agents. It is well-known that, across multiple fundamental problems in this domain, truthfulness and fairness are incompatible. For example, when allocating indivisible goods, no truthful and…

Computer Science and Game Theory · Computer Science 2024-05-20 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan , Paritosh Verma

We study an online fair division setting, where goods arrive one at a time and there is a fixed set of $n$ agents, each of whom has an additive valuation function over the goods. Once a good appears, the value each agent has for it is…

Computer Science and Game Theory · Computer Science 2025-05-29 Georgios Amanatidis , Alexandros Lolos , Evangelos Markakis , Victor Turmel

We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of…

Computer Science and Game Theory · Computer Science 2023-03-30 Pranay Gorantla , Kunal Marwaha , Santhoshini Velusamy

Fair division has emerged as a very hot topic in multiagent systems, and envy-freeness is among the most compelling fairness concepts. An allocation of indivisible items to agents is envy-free if no agent prefers the bundle of any other…

Computer Science and Game Theory · Computer Science 2021-02-26 Ioannis Caragiannis , Stavros Ioannidis

We consider Max-min Share (MmS) allocations of items both in the case where items are goods (positive utility) and when they are chores (negative utility). We show that fair allocations of goods and chores have some fundamental connections…

Computer Science and Game Theory · Computer Science 2016-04-07 Haris Aziz , Gerhard Rauchecker , Guido Schryen , Toby Walsh

We study a truthful facility location problem where one out of $k\geq2$ available facilities must be built at a location chosen from a set of candidate ones in the interval $[0,1]$. This decision aims to accommodate a set of agents with…

Computer Science and Game Theory · Computer Science 2025-05-07 Panagiotis Kanellopoulos , Alexandros A. Voudouris

In billboard advertisement, a number of digital billboards are owned by an influence provider, and several commercial houses (which we call advertisers) approach the influence provider for a specific number of views of their advertisement…

Computer Science and Game Theory · Computer Science 2025-02-11 Dildar Ali , Suman Banerjee , Shweta Jain , Yamuna Prasad
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