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We study fair division of divisible goods under generalized assignment constraints. Here, each good has an agent-specific value and size, and every agent has a budget constraint that limits the total size of the goods she can receive. Since…

计算机科学与博弈论 · 计算机科学 2026-03-03 Siddharth Barman , Ioannis Caragiannis , Sudarshan Shyam

We revisit the setting of fairly allocating indivisible items when agents have different weights representing their entitlements. First, we propose a parameterized family of relaxations for weighted envy-freeness and the same for weighted…

计算机科学与博弈论 · 计算机科学 2024-09-10 Mithun Chakraborty , Erel Segal-Halevi , Warut Suksompong

In random assignment, fairness is often captured by stochastic-dominance envy-freeness (SD-EF). We observe that assignments satisfying SD-EF may admit decompositions that result in each agent envying another agent with high probability. To…

理论经济学 · 经济学 2026-04-22 Yasushi Kawase , Warut Suksompong , Hanna Sumita , Yu Yokoi

Fairness is well studied in the context of resource allocation. Researchers have proposed various fairness notions like envy-freeness (EF), and its relaxations, proportionality and max-min share (MMS). There is vast literature on the…

计算机科学与博弈论 · 计算机科学 2021-12-15 Manisha Padala , Sujit Gujar

Envy-freeness up to any good (EFX) provides a strong and intuitive guarantee of fairness in the allocation of indivisible goods. But whether such allocations always exist or whether they can be efficiently computed remains an important open…

计算机科学与博弈论 · 计算机科学 2020-12-16 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Lirong Xia

Evidence suggests that participants in strategy-proof matching mechanisms play dominated strategies. To explain the data, we introduce expectation-based loss aversion into a school-choice setting and characterize choice-acclimating personal…

理论经济学 · 经济学 2024-08-28 Vincent Meisner , Jonas von Wangenheim

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…

计算机科学与博弈论 · 计算机科学 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki

We study the trade-off between envy and inefficiency in repeated resource allocation settings with stochastic replenishments, motivated by real-world systems such as food banks and medical supply chains. Specifically, we consider a model in…

最优化与控制 · 数学 2025-09-01 Chido Onyeze , Sean R. Sinclair , Chamsi Hssaine , Siddhartha Banerjee

We study several fairness notions in allocating indivisible chores (i.e., items with non-positive values) to agents who have additive and submodular cost functions. The fairness criteria we are concern with are envy-free up to any item…

计算机科学与博弈论 · 计算机科学 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

Algorithmic decision-making in societal contexts, such as retail pricing, loan administration, recommendations on online platforms, etc., can be framed as stochastic optimization under bandit feedback, which typically requires…

机器学习 · 计算机科学 2024-10-22 Jad Salem , Swati Gupta , Vijay Kamble

We initiate the study of multi-layered cake cutting with the goal of fairly allocating multiple divisible resources (layers of a cake) among a set of agents. The key requirement is that each agent can only utilize a single resource at each…

计算机科学与博弈论 · 计算机科学 2020-04-29 Hadi Hosseini , Ayumi Igarashi , Andrew Searns

Motivated by a problem of scheduling unit-length jobs with weak preferences over time-slots, the random assignment problem (also called the house allocation problem) is considered on a uniform preference domain. For the subdomain in which…

计算机科学与博弈论 · 计算机科学 2014-12-19 Jay Sethuraman , Chun Ye

We study the problem of allocating a set of indivisible items among agents whose preferences include externalities. Unlike the standard fair division model, agents may derive positive or negative utility not only from items allocated…

计算机科学与博弈论 · 计算机科学 2026-01-21 Frank Connor , Max Dupré la Tour , Vishnu V. Narayan , Šimon Schierreich

When dividing items among agents, two of the most widely studied fairness notions are envy-freeness and proportionality. We consider a setting where $m$ chores are allocated to $n$ agents and the disutility of each chore for each agent is…

计算机科学与博弈论 · 计算机科学 2025-04-30 Pasin Manurangsi , Warut Suksompong

We study the fair allocation of indivisible goods with variable groups. In this model, the goal is to partition the agents into groups of given sizes and allocate the goods to the groups in a fair manner. We show that for any number of…

计算机科学与博弈论 · 计算机科学 2025-11-11 Paul Gölz , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

In the classical cake cutting problem, a resource must be divided among agents with different utilities so that each agent believes they have received a fair share of the resource relative to the other agents. We introduce a variant of the…

数据结构与算法 · 计算机科学 2018-02-27 Rediet Abebe , Jon Kleinberg , David Parkes

We consider the house allocation problems with strict preferences, where monetary transfers are not allowed. We propose two properties in the spirit of justified fairness. Interestingly, together with other well-studied properties…

理论经济学 · 经济学 2024-07-22 Di Feng , Jacob Coreno

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, the indivisible goods--each with a specific size and value--need to be allocated such that the…

计算机科学与博弈论 · 计算机科学 2023-03-20 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

Classic cake-cutting algorithms enable people with different preferences to divide among them a heterogeneous resource (``cake''), such that the resulting division is fair according to each agent's individual preferences. However, these…

计算机科学与博弈论 · 计算机科学 2021-08-06 Erel Segal-Halevi , Shmuel Nitzan , Avinatan Hassidim , Yonatan Aumann

We consider a novel setting where a set of items are matched to the same set of agents repeatedly over multiple rounds. Each agent gets exactly one item per round, which brings interesting challenges to finding efficient and/or fair {\em…

计算机科学与博弈论 · 计算机科学 2022-07-05 Ioannis Caragiannis , Shivika Narang