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相关论文: Achieving rental harmony with a secretive roommate

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Rent division is the well-studied problem of fairly assigning rooms and dividing rent among a set of roommates within a single apartment. A shortcoming of existing solutions is that renters are assumed to be considering apartments in…

计算机科学与博弈论 · 计算机科学 2025-01-14 Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

Rental Harmony is the problem of assigning rooms in a rented house to tenants with different preferences, and simultaneously splitting the rent among them, such that no tenant envies the bundle (room+price) given to another tenant.…

计算机科学与博弈论 · 计算机科学 2022-06-01 Erel Segal-Halevi

We study classic fair-division problems in a partial information setting. This paper respectively addresses fair division of rent, cake, and indivisible goods among agents with cardinal preferences. We will show that, for all of these…

计算机科学与博弈论 · 计算机科学 2018-11-28 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

We study the classical rent division problem, where $n$ agents must allocate $n$ indivisible rooms and split a fixed total rent $R$. The goal is to compute an envy-free (EF) allocation, where no agent prefers another agent's room and rent…

计算机科学与博弈论 · 计算机科学 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

We study the incentive properties of envy-free mechanisms for the allocation of rooms and payments of rent among financially constrained roommates. Each agent reports her values for rooms, her housing earmark (soft budget), and an index…

理论经济学 · 经济学 2020-04-20 Rodrigo A. Velez

How can one assign roommates and rooms when tenants have preferences for both where and with whom they live? In this setting, the usual notions of envy-freeness and maximizing social welfare may not hold; the roommate rent-division problem…

计算机科学与博弈论 · 计算机科学 2024-09-24 Yanqing Huang , Madeline Kitch , Natalie Melas-Kyriazi

The current practice of envy-free rent division, lead by the fair allocation website Spliddit, is based on quasi-linear preferences. These preferences rule out agents' well documented financial constraints. To resolve this issue we consider…

计算机科学与博弈论 · 计算机科学 2020-02-11 Rodrigo A. Velez

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

In the multidimensional stable roommate problem, agents have to be allocated to rooms and have preferences over sets of potential roommates. We study the complexity of finding good allocations of agents to rooms under the assumption that…

计算机科学与博弈论 · 计算机科学 2020-05-01 Niclas Boehmer , Edith Elkind

We prove existence of envy-free allocations in markets with heterogenous indivisible goods and money, when a given quantity is supplied from each of the goods and agents have unit demands. We depart from most of the previous literature by…

计算机科学与博弈论 · 计算机科学 2014-06-26 Yaron Azrieli , Eran Shmaya

We consider transferable-utility profit-sharing games that arise from settings in which agents need to jointly choose one of several alternatives, and may use transfers to redistribute the welfare generated by the chosen alternative. One…

理论经济学 · 经济学 2019-09-26 Moshe Babaioff , Uriel Feige

In classic fair division problems such as cake cutting and rent division, envy-freeness requires that each individual (weakly) prefer his allocation to anyone else's. On a conceptual level, we argue that envy-freeness also provides a…

机器学习 · 计算机科学 2020-09-25 Maria-Florina Balcan , Travis Dick , Ritesh Noothigattu , Ariel D. Procaccia

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…

计算机科学与博弈论 · 计算机科学 2025-10-09 Vittorio Bilò , Martin Loebl , Cosimo Vinci

We study a fair resource sharing problem, where a set of resources are to be shared among a group of agents. Each agent demands one resource and each resource can serve a limited number of agents. An agent cares about what resource they get…

计算机科学与博弈论 · 计算机科学 2023-07-14 Jiarui Gan , Bo Li , Yingkai Li

The Stable Roommates problems are characterized by the preferences of agents over other agents as roommates. A solution is a partition of the agents into pairs that are acceptable to each other (i.e., they are in the preference lists of…

人工智能 · 计算机科学 2025-07-29 Müge Fidan , Esra Erdem

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…

计算机科学与博弈论 · 计算机科学 2024-08-27 Ayumi Igarashi , Yasushi Kawase , Warut Suksompong , Hanna Sumita

House Allocations concern with matchings involving one-sided preferences, where houses serve as a proxy encoding valuable indivisible resources (e.g. organs, course seats, subsidized public housing units) to be allocated among the agents.…

计算机科学与博弈论 · 计算机科学 2025-11-11 Hadi Hosseini , Sanjukta Roy , Aditi Sethia

Roommate problems with convex preferences always have stable matchings. Efficiency and individual rationality are, moreover, compatible with strategyproofness in such convex roommate problems. Both of these results fail without the…

理论经济学 · 经济学 2025-04-01 Sophie Bade

The Stable Roommates problem involves matching a set of agents into pairs based on the agents' strict ordinal preference lists. The matching must be stable, meaning that no two agents strictly prefer each other to their assigned partners. A…

计算机科学与博弈论 · 计算机科学 2021-07-12 Michael McKay , David Manlove

Assume that $n = 2k$ potential roommates each have an ordered preference of the $n-1$ others. A stable matching is a perfect matching of the $n$ roommates in which no two unmatched people prefer each other to their matched partners. In…

组合数学 · 数学 2026-01-13 Byron Chin , Marcus Michelen
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