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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…

Social and Information Networks · Computer Science 2019-05-13 Zbigniew Lonc , Miroslaw Truszczynski

For models of concurrent and distributed systems, it is important and also challenging to establish correctness in terms of safety and/or liveness properties. Theories of distributed systems consider equivalences fundamental, since they (1)…

Logic in Computer Science · Computer Science 2017-12-01 Tobias Prehn , Stephan Mennicke

We study a fair division setting in which participants are to be fairly distributed among teams, where not only do the teams have preferences over the participants as in the canonical fair division setting, but the participants also have…

Computer Science and Game Theory · Computer Science 2024-08-27 Ayumi Igarashi , Yasushi Kawase , Warut Suksompong , Hanna Sumita

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

In this paper, I summarize our work on online fair division. In particular, I present two models for online fair division: (1) one existing model for fair division in food banks and (2) one new model for fair division of deceased organs to…

Computer Science and Game Theory · Computer Science 2017-02-21 Martin Aleksandrov

We study the problem of allocating indivisible objects to a set of rational agents where each agent's final utility depends on the intrinsic valuation of the allocated item as well as the allocation within the agent's local neighbourhood.…

Computer Science and Game Theory · Computer Science 2019-11-18 Sagar Massand , Sunil Simon

We consider the fair division of indivisible items using the maximin shares measure. Recent work on the topic has focused on extending results beyond the class of additive valuation functions. In this spirit, we study the case where the…

Discrete Mathematics · Computer Science 2023-10-20 Zhentao Li , Adrian Vetta

Picking sequences are well-established methods for allocating indivisible goods. Among the various picking sequences, recursively balanced picking sequences -- whereby each agent picks one good in every round -- are notable for guaranteeing…

Computer Science and Game Theory · Computer Science 2025-12-22 Karen Frilya Celine , Warut Suksompong , Sheung Man Yuen

Recent discussion in the public sphere about algorithmic classification has involved tension between competing notions of what it means for a probabilistic classification to be fair to different groups. We formalize three fairness…

Machine Learning · Computer Science 2016-11-18 Jon Kleinberg , Sendhil Mullainathan , Manish Raghavan

We study envy-free allocations of indivisible goods to agents in settings where each agent is unaware of the goods allocated to other agents. In particular, we propose the maximin aware (MMA) fairness measure, which guarantees that every…

Computer Science and Game Theory · Computer Science 2019-10-29 Hau Chan , Jing Chen , Bo Li , Xiaowei Wu

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

Inspired by Internet ad auction applications, we study the problem of allocating a single item via an auction when bidders place very different values on the item. We formulate this as the problem of prior-free auction and focus on…

Computer Science and Game Theory · Computer Science 2009-09-30 Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

We revisit the setting of fair allocation of indivisible items among agents with heterogeneous, non-monotone valuations. We explore the existence and efficient computation of allocations that approximately satisfy either envy-freeness or…

Computer Science and Game Theory · Computer Science 2025-10-09 Vittorio Bilò , Martin Loebl , Cosimo Vinci

We study the problem of fairly allocating either a set of indivisible goods or a set of mixed divisible and indivisible goods (i.e., mixed goods) to agents with additive utilities, taking the best-of-both-worlds perspective of guaranteeing…

Computer Science and Game Theory · Computer Science 2024-10-25 Xiaolin Bu , Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao

We study fair division of indivisible mixed manna (items whose values may be positive, negative, or zero) among agents with additive valuations. Here, we establish that fairness -- in terms of a relaxation of envy-freeness -- and Pareto…

Computer Science and Game Theory · Computer Science 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki

We introduce a general approach based on \emph{selective verification} and obtain approximate mechanisms without money for maximizing the social welfare in the general domain of utilitarian voting. Having a good allocation in mind, a…

Computer Science and Game Theory · Computer Science 2015-07-10 Dimitris Fotakis , Christos Tzamos , Emmanouil Zampetakis

Recent work shows that we can use partial verification instead of money to implement truthful mechanisms. In this paper we develop tools to answer the following question. Given an allocation rule that can be made truthful with payments,…

Computer Science and Game Theory · Computer Science 2019-01-24 Sofia Ceppi , Ian Kash , Rafael Frongillo

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

Computer Science and Game Theory · Computer Science 2019-07-23 Haris Aziz , Simon Rey

We consider the problem of fair allocation of indivisible chores under additive valuations. We assume that the chores are divided into two types and under this scenario, we present several results. Our first result is a new characterization…

Computer Science and Game Theory · Computer Science 2023-05-25 Haris Aziz , Jeremy Lindsay , Angus Ritossa , Mashbat Suzuki

We design a mechanism for Fair and Efficient Distribution of Resources (FEDoR) in the presence of strategic agents. We consider a multiple-instances, Bayesian setting, where in each round the preference of an agent over the set of resources…

Computer Science and Game Theory · Computer Science 2016-09-28 Evgenia Christoforou , Antonio Fernández Anta , Agustín Santos
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