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We study the classic problem of dividing a collection of indivisible resources in a fair and efficient manner among a set of agents having varied preferences. Pareto optimality is a standard notion of economic efficiency, which states that…

计算机科学与博弈论 · 计算机科学 2023-07-25 Ioannis Caragiannis , Kristoffer Arnsfelt Hansen , Nidhi Rathi

We show that, with indivisible goods, the existence of competitive equilibrium fundamentally depends on agents' substitution effects, not their income effects. Our Equilibrium Existence Duality allows us to transport results on the…

理论经济学 · 经济学 2020-07-01 Elizabeth Baldwin , Omer Edhan , Ravi Jagadeesan , Paul Klemperer , Alexander Teytelboym

We consider fair allocation of indivisible items in a model with goods, chores, and copies, as a unified framework for studying: (1)~the existence of EFX and other solution concepts for goods with copies; (2)~the existence of EFX and other…

计算机科学与博弈论 · 计算机科学 2021-09-29 Yotam Gafni , Xin Huang , Ron Lavi , Inbal Talgam-Cohen

We consider the problem of allocating indivisible objects to agents when agents have strict preferences over objects. There are inherent trade-offs between competing notions of efficiency, fairness and incentives in assignment mechanisms.…

理论经济学 · 经济学 2020-11-02 Priyanka Shende , Manish Purohit

The existence of allocations that are fair and efficient, simultaneously, is a central inquiry in fair division literature. A prominent result in discrete fair division shows that the complementary desiderata of fairness and efficiency can…

计算机科学与博弈论 · 计算机科学 2026-01-05 Siddharth Barman , Paritosh Verma

We study the problem of fair rent division that entails splitting the rent and allocating the rooms of an apartment among roommates (agents) in a fair manner. In this setup, a distribution of the rent and an allocation is said to be fair if…

计算机科学与博弈论 · 计算机科学 2018-07-12 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

We study the computational complexity of fairly allocating a set of indivisible items under externalities. In this recently-proposed setting, in addition to the utility the agent gets from their bundle, they also receive utility from items…

计算机科学与博弈论 · 计算机科学 2024-04-16 Argyrios Deligkas , Eduard Eiben , Viktoriia Korchemna , Šimon Schierreich

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

计算机科学与博弈论 · 计算机科学 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

We study the classic problem of fairly dividing a heterogeneous and divisible resource -- represented by a cake, $[0,1]$ -- among $n$ agents. This work considers an interesting variant of the problem where agents are embedded on a graph.…

计算机科学与博弈论 · 计算机科学 2022-11-16 Ganesh Ghalme , Xin Huang , Nidhi Rathi

We study the problem of dividing a multi-layered cake under non-overlapping constraints. This problem, recently proposed by Hosseini et al. (IJCAI, 2020), captures several natural scenarios such as the allocation of multiple facilities over…

计算机科学与博弈论 · 计算机科学 2022-12-22 Ayumi Igarashi , Frédéric Meunier

Fair division has long been an important problem in the economics literature. In this note, we consider the existence of proportionally fair allocations of indivisible goods, i.e., allocations of indivisible goods in which every agent gets…

计算机科学与博弈论 · 计算机科学 2019-08-19 Warut Suksompong

In the allocation of indivisible goods, a prominent fairness notion is envy-freeness up to one good (EF1). We initiate the study of reachability problems in fair division by investigating the problem of whether one EF1 allocation can be…

计算机科学与博弈论 · 计算机科学 2024-11-19 Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong , Sheung Man Yuen

We investigate the fair allocation of indivisible goods to agents with possibly different entitlements represented by weights. Previous work has shown that guarantees for additive valuations with existing envy-based notions cannot be…

计算机科学与博弈论 · 计算机科学 2025-04-18 Luisa Montanari , Ulrike Schmidt-Kraepelin , Warut Suksompong , Nicholas Teh

We initiate the study of computing envy-free allocations of indivisible items in the extension setting, i.e., when some part of the allocation is fixed and the task is to allocate the remaining items. Given the known NP-hardness of the…

计算机科学与博弈论 · 计算机科学 2025-03-04 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Tiger-Lily Goldsmith , Stavros D. Ioannidis

We investigate the problem of random assignment of indivisible goods, in which each agent has an ordinal preference and a constraint. Our goal is to characterize the conditions under which there always exists a random assignment that…

计算机科学与博弈论 · 计算机科学 2024-12-30 Yasushi Kawase , Hanna Sumita , Yu Yokoi

We investigate whether fairness is compatible with efficiency in economies with multi-self agents, who may not be able to integrate their multiple objectives into a single complete and transitive ranking. We adapt envy-freeness,…

理论经济学 · 经济学 2022-04-15 Sophie Bade , Erel Segal-Halevi

In this paper, we study the classic problem of fairly allocating indivisible items with the extra feature that the items lie on a line. Our goal is to find a fair allocation that is contiguous, meaning that the bundle of each agent forms a…

计算机科学与博弈论 · 计算机科学 2019-04-30 Warut Suksompong

Envy-freeness is one of the most prominent fairness concepts in the allocation of indivisible goods. Even though trivial envy-free allocations always exist, rich literature shows this is not true when one additionally requires some…

计算机科学与博弈论 · 计算机科学 2025-02-19 Robert Bredereck , Andrzej Kaczmarczyk , Junjie Luo , Bin Sun

We here address the problem of fairly allocating indivisible goods or chores to $n$ agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up…

计算机科学与博弈论 · 计算机科学 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

We study fair division of indivisible goods in a single-parameter environment. In particular, we develop truthful social welfare maximizing mechanisms for fairly allocating indivisible goods. Our fairness guarantees are in terms of solution…

计算机科学与博弈论 · 计算机科学 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang